Publikationen
Publikationen
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Boundary regularity for elliptic systems with p, q-growth
In: Journal De Mathematiques Pures Et Appliquees 159 (2022), S. 250-293
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2021.12.004
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Higher regularity in congested traffic dynamics
In: Mathematische Annalen (2022)
ISSN: 0025-5831
DOI: 10.1007/s00208-022-02375-y
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Boundary regularity for parabolic systems in convex domains
In: Journal of the London Mathematical Society-Second Series (2022)
ISSN: 0024-6107
DOI: 10.1112/jlms.12545
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Gradient Hölder regularity for degenerate parabolic systems
In: Nonlinear Analysis - Theory Methods & Applications 225 (2022), Art.Nr.: 113119
ISSN: 0362-546X
DOI: 10.1016/j.na.2022.113119
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On the Hölder regularity of signed solutions to a doubly nonlinear equation
In: Journal of Functional Analysis 281 (2021), Art.Nr.: 109173
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2021.109173
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Integral convexity and parabolic systems
In: SIAM Journal on Mathematical Analysis 52 (2020), S. 1489-1525
ISSN: 0036-1410
DOI: 10.1137/19M1287870
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Higher integrability for doubly nonlinear parabolic systems
In: Journal De Mathematiques Pures Et Appliquees 9 (2020), S. 31–72
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2020.06.009
URL: https://arxiv.org/abs/1810.06039
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In memoriam Thomas Friedrich (1949–2018).
In: Annals of Global Analysis and Geometry 56 (2019), S. 613-630
ISSN: 0232-704X
DOI: 10.1007/s10455-019-09692-7
URL: https://link.springer.com/article/10.1007/s10455-019-09692-7
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Higher integrability for the singular porous medium system
In: Journal für die reine und angewandte Mathematik (2019), S. 203-230
ISSN: 0075-4102
DOI: 10.1515/crelle-2019-0038
URL: https://www.degruyter.com/document/doi/10.1515/crelle-2019-0038/html
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Existence for evolutionary problems with linear growth by stability methods
In: Journal of Differential Equations 266 (2019), S. 7709-7748
ISSN: 0022-0396
DOI: 10.1016/j.jde.2018.12.012
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The higher integrability of weak solutions of porous medium systems
In: Advances in Nonlinear Analysis (2018)
ISSN: 2191-9496
DOI: 10.1515/anona-2017-0270
URL: https://www.degruyter.com/view/j/anona.ahead-of-print/anona-2017-0270/anona-2017-0270.xml
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A variational approach to doubly nonlinear equations
In: Rendiconti Lincei. Matematica e Applicazioni 29 (2018), S. 739--772
ISSN: 1120-6330
DOI: 10.4171/RLM/832
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Doubly nonlinear equations of porous medium type
In: Archive for Rational Mechanics and Analysis 229 (2018), S. 503--545
ISSN: 0003-9527
DOI: 10.1007/s00205-018-1221-9
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Existence of variational solutions in noncylindrical domains
In: SIAM Journal on Mathematical Analysis 50 (2018), S. 3007--3057
ISSN: 0036-1410
DOI: 10.1137/17M1156423
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A quantitative isoperimetric inequality on the sphere
In: Advances in Calculus of Variations 10 (2017), S. 223--265
ISSN: 1864-8258
DOI: 10.1515/acv-2015-0042
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Parabolic equations and the bounded slope condition
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 34 (2017), S. 355--379
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2015.12.005
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The obstacle problem for parabolic minimizers
In: Journal of Evolution Equations 17 (2017), S. 1273--1310
ISSN: 1424-3199
DOI: 10.1007/s00028-017-0384-4
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Sharp boundedness and continuity results for the singular porous medium equation
In: Israel Journal of Mathematics 214 (2016), S. 259--314
ISSN: 0021-2172
DOI: 10.1007/s11856-016-1360-3
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The obstacle problem for the total variation flow
In: Annales Scientifiques De L Ecole Normale Superieure 49 (2016), S. 1143--1188
ISSN: 0012-9593
DOI: 10.24033/asens.2306
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The total variation flow with time dependent boundary values
In: Calculus of Variations and Partial Differential Equations 55 (2016), S. Art. 108, 31
ISSN: 0944-2669
DOI: 10.1007/s00526-016-1041-4
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A sharp quantitative isoperimetric inequality in higher codimension
In: ATTI Della Accademia Nazionale Dei Lincei Rendiconti Lincei Scienze Fisiche e Naturali 26 (2015), S. 309-362
ISSN: 1120-6349
DOI: 10.4171/RLM/709
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VERY WEAK SOLUTIONS OF SINGULAR POROUS MEDIUM EQUATIONS WITH MEASURE DATA
In: Communications on Pure and Applied Analysis 14 (2015), S. 23-49
ISSN: 1534-0392
DOI: 10.3934/cpaa.2015.14.23
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A Time Dependent Variational Approach to Image Restoration
In: Siam Journal on Imaging Sciences 8 (2015), S. 968-1006
ISSN: 1936-4954
DOI: 10.1137/140992771
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Non local diffusion equations
In: Journal of Mathematical Analysis and Applications 432 (2015), S. 398-428
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2015.06.053
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A sharp quantitative isoperimetric inequality in hyperbolic n-space
In: Calculus of Variations and Partial Differential Equations 54 (2015), S. 3967-4017
ISSN: 0944-2669
DOI: 10.1007/s00526-015-0928-9
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Short-Time Regularity for the H-Surface Flow
In: International Mathematics Research Notices (2015), S. 3694-3750
ISSN: 1073-7928
DOI: 10.1093/imrn/rnu042
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The evolution of H-surfaces with a Plateau boundary condition
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 32 (2015), S. 109-157
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2013.10.003
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Continuity estimates for porous medium type equations with measure data
In: Journal of Functional Analysis 267 (2014), S. 3351-3396
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2014.08.014
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Existence of evolutionary variational solutions via the calculus of variations
In: Journal of Differential Equations 256 (2014), S. 3912-3942
ISSN: 0022-0396
DOI: 10.1016/j.jde.2014.03.005
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POROUS MEDIUM TYPE EQUATIONS WITH MEASURE DATA AND POTENTIAL ESTIMATES
In: SIAM Journal on Mathematical Analysis 45 (2013), S. 3283-3330
ISSN: 0036-1410
DOI: 10.1137/130925323
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Parabolic equations with (p,q)-growth
In: Journal De Mathematiques Pures Et Appliquees 100 (2013), S. 535-563
ISSN: 0021-7824
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Parabolic Systems with p, q-Growth: A Variational Approach
In: Archive for Rational Mechanics and Analysis 210 (2013), S. 219-267
ISSN: 0003-9527
DOI: 10.1007/s00205-013-0646-4
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The regularity of general parabolic systems with degenerate diffusions
In: Memoirs of the American Mathematical Society 221 (2013)
ISSN: 0065-9266
DOI: 10.1090/S0065-9266-2012-00664-2
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Weak solutions to the heat flow for surfaces of prescribed mean curvature
In: Transactions of the American Mathematical Society 365 (2013), S. 4633-4677
ISSN: 0002-9947
DOI: 10.1090/S0002-9947-2013-05885-0
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Holder estimates for parabolic p(x, t)-Laplacian systems
In: Mathematische Annalen 354 (2012), S. 907-938
ISSN: 0025-5831
DOI: 10.1007/s00208-011-0750-4
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Stationary electro-rheological fluids: Low order regularity for systems with discontinuous coefficients
In: Advances in Calculus of Variations 5 (2012), S. 1-57
ISSN: 1864-8258
DOI: 10.1515/ACV.2011.009
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Global solutions to the heat flow for m-harmonic maps and regularity
In: Indiana University Mathematics Journal 61 (2012), S. 2157-2210
ISSN: 0022-2518
URL: http://www.iumj.indiana.edu/IUMJ/fulltext.php?artid=4819&year=2012&volume=61
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Partial regularity for parabolic systems with non-standard growth
In: Journal of Evolution Equations 12 (2012), S. 203-244
ISSN: 1424-3199
DOI: 10.1007/s00028-011-0130-2
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Higher integrability for parabolic systems with non-standard growth and degenerate diffusions
In: Publicacions Matematiques 55 (2011), S. 201-250
ISSN: 0214-1493
DOI: 10.5565/PUBLMAT_55111_10
URL: http://www.mat.uab.es/pubmat/volums/navegador/volum_id:89#
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Partial Hölder continuity for discontinuous elliptic problems with VMO-coefficients
In: Proceedings of the London Mathematical Society 103 (2011), S. 371-404
ISSN: 0024-6115
DOI: 10.1112/plms/pdr009
URL: http://plms.oxfordjournals.org/content/early/2011/02/27/plms.pdr009.abstract
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Degenerate problems with irregular obstacles
In: Journal für die reine und angewandte Mathematik 650 (2011), S. 107-160
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2011.006
URL: http://www.reference-global.com/doi/abs/10.1515/CRELLE.2011.006
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Gradient estimates via non-linear potentials
In: American Journal of Mathematics 133 (2011), S. 1093-1149
ISSN: 0002-9327
DOI: 10.1353/ajm.2011.0023
URL: http://muse.jhu.edu/login?uri=/journals/american_journal_of_mathematics/v133/133.4.duzaar.pdf
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Parabolic systems with polynomial growth and regularity
In: Memoirs of the American Mathematical Society 214 (2011), S. -
ISSN: 0065-9266
DOI: 10.1090/S0065-9266-2011-00614-3
URL: http://www.ams.org/journals/memo/0000-000-00/S0065-9266-2011-00614-3/home.html
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The boundary regularity of non-linear parabolic systems I
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), S. 201-255
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2009.09.003
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The boundary regularity of non-linear parabolic systems II
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), S. 145-200
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2009.09.002
URL: https://www.sciencedirect.com/science/article/pii/S0294144909000833?via=ihub
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Gradient continuity estimates
In: Calculus of Variations and Partial Differential Equations 39 (2010), S. 379-418
ISSN: 0944-2669
DOI: 10.1007/s00526-010-0314-6
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Gradient estimates via linear and nonlinear potentials
In: Journal of Functional Analysis 259 (2010), S. 2961-2998
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2010.08.006
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Local Lipschitz regularity for degenerate elliptic systems
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 27 (2010), S. 1361-1396
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2010.07.002
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Gradient estimates in non-linear potential theory
In: Rendiconti Lincei. Matematica e Applicazioni 20 (2009), S. 179-190
ISSN: 1120-6330
DOI: 10.4171/RLM/540
URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=20&iss=2&rank=6
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Harmonic Type Approximations Lemmas
In: Journal of Mathematical Analysis and Applications 352 (2009), S. 301-335
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.09.076
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The existence of regular boundary points for nonlinear elliptic systems. To the memory of Sergio Campanato
In: Journal für die reine und angewandte Mathematik 2007 (2007), S. 17-58
ISSN: 0075-4102
DOI: 10.1515/CRELLE.2007.002
URL: http://www.reference-global.com/doi/pdf/10.1515/CRELLE.2007.002
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Optimal regularity for second order parabolic systems via $A$-caloric approximation
In: Rivista di matematica della Università di Parma 7 (2005), S. 91-113
ISSN: 0035-6298
URL: http://rivista.math.unipr.it/vols/2005-4s/04.html
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Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
In: Annali Di Matematica Pura Ed Applicata 184 (2005), S. 421-448
ISSN: 0373-3114
DOI: 10.1007/s10231-004-0117-5
URL: http://www.springerlink.com/content/vcrdegy4y8j1b1px/fulltext.pdf
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Second order parabolic systems, optimal regularity, and singular sets of solutions
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 22 (2005), S. 705-751
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2004.10.011
URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6VKB-4G4PC1B-1-8&_cdi=6118&_user=616145&_orig=search&_coverDate=12%2F31%2F2005&_sk=999779993&view=c&wchp=dGLbVzb-zSkWz&md5=6e5a844d72a331ada8ce3e8dff936583&ie=/sdarticle.pdf
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Elliptic systems, singular sets and Dini continuity
In: Communications in Partial Differential Equations 29 (2004), S. 1215-1240
ISSN: 0360-5302
DOI: 10.1081/PDE-200033734
URL: http://www.informaworld.com/smpp/content~db=all?content=10.1081/PDE-200033734
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Partial and full boundary regularity for minimizers of functionals with nonquadratic growth
In: Journal of Convex Analysis 11 (2004), S. 437-476
ISSN: 0944-6532
URL: http://www.heldermann.de/JCA/JCA11/jca11027.htm
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Regularity for degenerate elliptic problems via $p$-harmonic approximation
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 21 (2004), S. 735-766
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2003.09.003
URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6VKB-4BRBCVJ-1-5&_cdi=6118&_user=616145&_orig=search&_coverDate=10%2F31%2F2004&_sk=999789994&view=c&wchp=dGLzVlz-zSkzS&md5=e353b7aee2d2bf8cde5892ba0f08fc99&ie=/sdarticle.pdf
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The $p$-harmonic approximation and the regularity of $p$-harmonic maps
In: Calculus of Variations and Partial Differential Equations 20 (2004), S. 235-256
ISSN: 0944-2669
DOI: 10.1007/s00526-003-0233-x
URL: http://www.springerlink.com/content/97wh09at0y84v6dj/fulltext.pdf
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Nonlinear elliptic systems with Dini continuous coefficients
In: Archiv der Mathematik 78 (2002), S. 58-73
ISSN: 0003-889X
DOI: 10.1007/s00013-002-8217-1
URL: http://www.springerlink.com/content/ubwra8e6wemxr1m5/fulltext.pdf
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Regularity of $\omega$-minimizers of quasi-convex variational integrals with polynomial growth
In: Differential Geometry and its Applications 17 (2002), S. 139-152
ISSN: 0926-2245
DOI: 10.1016/S0926-2245(02)00104-3
URL: http://www.sciencedirect.com/science?_ob=MImg&_imagekey=B6TYY-46B4N65-4-B3&_cdi=5631&_user=616145&_orig=search&_coverDate=09%2F30%2F2002&_sk=999829997&view=c&wchp=dGLbVtz-zSkzV&md5=04f186a6d48102cbdc0bdf90fa2a463e&ie=/sdarticle.pdf
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Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
In: Journal für die reine und angewandte Mathematik 546 (2002), S. 73-138
ISSN: 0075-4102
DOI: 10.1515/crll.2002.046
URL: http://www.reference-global.com/doi/pdf/10.1515/crll.2002.046
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Optimal partial regularity for nonlinear elliptic systems of higher order
In: Journal of Mathematical Sciences - the University of Tokyo 8 (2001), S. 463-499
ISSN: 1340-5705
URL: http://journal.ms.u-tokyo.ac.jp/
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Partial regularity for almost minimizers of quasi-convex integrals
In: SIAM Journal on Mathematical Analysis 32 (2000), S. 665-687
ISSN: 0036-1410
DOI: 10.1137/S0036141099374536
URL: http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SJMAAH000032000003000665000001&idtype=cvips&gifs=yes
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Existence and regularity for higher dimensional $H$-systems
In: Duke Mathematical Journal 101 (2000), S. 459-485
ISSN: 0012-7094
URL: http://projecteuclid.org/DPubS/Repository/1.0/Disseminate?view=body&id=pdffirstpage_1&handle=euclid.dmj/1092749201
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Optimal interior partial regularity for nonlinear elliptic systems: The method of $A$-harmonic approximation
In: Manuscripta Mathematica 103 (2000), S. 267-298
ISSN: 0025-2611
DOI: 10.1007/s002290070007
URL: http://www.springerlink.com/content/jvxdcub8hywkpyd5/fulltext.pdf
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Parametric sufaces of least $H$-energy in a Riemannian manifold
In: Mathematische Annalen 314 (1999), S. 197-244
ISSN: 0025-5831
URL: http://www.springerlink.com/content/ywgd2yf1t8elu9vp/fulltext.pdf
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Minimizing $p$-harmonic maps at a free boundary
In: Bollettino della Unione Matematica Italiana B 1 (1998), S. 391-406
ISSN: 0392-4041
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Minimization of conformally invariant energies in homotopy classes
In: Calculus of Variations and Partial Differential Equations 6 (1998), S. 285-313
ISSN: 0944-2669
DOI: 10.1007/s005260050092
URL: http://www.springerlink.com/content/xlb84df4mpc08qme/fulltext.pdf
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Boundary regularity for area minimizing currents with prescribed volume
In: Journal of Geometric Analysis 7 (1997), S. 585-592
ISSN: 1050-6926
DOI: 10.1007/BF02921634
URL: http://springerlink.com/content/pm75t747g33g7097/fulltext.pdf
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Hypersurfaces with constant mean curvature and prescribed area
In: Manuscripta Mathematica 91 (1996), S. 303-315
ISSN: 0025-2611
DOI: 10.1007/BF02567956
URL: http://www.springerlink.com/content/03k827467654842w/fulltext.pdf
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A mixed boundary value problem for energy minimizing harmonic maps
In: Mathematische Zeitschrift 221 (1996), S. 153-167
ISSN: 0025-5874
DOI: 10.1007/BF02622105
URL: http://www.springerlink.com/content/m26h54512503k505/fulltext.pdf
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Existence of hypersurfaces with prescribed mean curvature in Riemannian manifolds
In: Indiana University Mathematics Journal 45 (1996), S. 1045-1093
ISSN: 0022-2518
DOI: 10.1512/iumj.1996.45.1117
URL: http://www.iumj.indiana.edu/IUMJ/FULLTEXT/1996/45/1117
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Existence of area minimizing tangent cones of integral currents with prescribed mean curvature
In: Acta Mathematica Scientia 15 (1995), S. 95-102
ISSN: 0252-9602
URL: http://en.cnki.com.cn/Article_en/CJFDTotal-SXWY501.011.htm
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Existence and regularity of hypersurfaces with prescribed mean curvature and a free boundary
In: Journal für die reine und angewandte Mathematik 457 (1994), S. 23-43
ISSN: 0075-4102
URL: https://eudml.org/doc/153669
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Energy minimizing harmonic maps with an obstacle at the free boundary
In: Manuscripta Mathematica 83 (1994), S. 291-314
ISSN: 0025-2611
DOI: 10.1007/BF02567615
URL: http://www.springerlink.com/content/m67p822218012813/fulltext.pdf
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Comparison principles for hypersurfaces of prescribed mean curvature
In: Journal für die reine und angewandte Mathematik 457 (1994), S. 71-83
ISSN: 0075-4102
URL: http://eudml.org/doc/153671
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On the existence of surfaces with prescribed mean curvature and boundary in higher dimensions
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 10 (1993), S. 191-214
ISSN: 0294-1449
URL: http://www.numdam.org/item?id=AIHPC_1993__10_2_191_0
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$\lambda$ minimizing currents
In: Manuscripta Mathematica 80 (1993), S. 403-447
ISSN: 0025-2611
DOI: 10.1007/BF03026561
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Boundary regularity for minimizing currents with prescribed mean curvature
In: Calculus of Variations and Partial Differential Equations 1 (1993), S. 355-406
ISSN: 0944-2669
DOI: 10.1007/BF01206958
URL: http://www.springerlink.com/content/v82680827q00q040/fulltext.pdf
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A general existence theorem for integral currents with prescribed mean curvature form
In: Bollettino della Unione Matematica Italiana B 6 (1992), S. 901-912
ISSN: 0392-4041
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Area minimizing hypersurfaces with prescribed volume and boundary
In: Mathematische Zeitschrift 209 (1992), S. 581-618
ISSN: 0025-5874
DOI: 10.1007/BF02570855
URL: http://www.springerlink.com/content/t483384625752883/fulltext.pdf
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Regularity of $p$-harmonic maps into a closed hemisphere
In: Bollettino della Unione Matematica Italiana B 5 (1991), S. 157-170
ISSN: 0392-4041
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Einige Bemerkungen über die Existenz orientierter Mannigfaltigkeiten mit vorgeschriebener mittlerer Krümmung
In: Zeitschrift für Analysis und ihre Anwendungen 10 (1991), S. 525-534
ISSN: 0232-2064
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Einige Bemerkungen über die Regularität von stationären Punkten gewisser geometrischer Variationsintegrale
In: Mathematische Nachrichten 152 (1991), S. 39-47
ISSN: 0025-584X
URL: http://www3.interscience.wiley.com/cgi-bin/fulltext/113459912/PDFSTART
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Existence and regularity of functions which minimize certain energies in homotopy classes of mappings
In: Asymptotic Analysis 5 (1991), S. 129-144
ISSN: 0921-7134
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On integral currents with constant mean curvature
In: Rendiconti Del Seminario Matematico Della Universita Di Padova 85 (1991), S. 79-103
ISSN: 0041-8994
URL: http://rendiconti.math.unipd.it/volumes/vol085.html?lan=english
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Existenz und Regularität von Hyperflächen mit vorgeschriebener mittlerer Krümmung
In: Analysis 10 (1990), S. 193-230
ISSN: 0003-2638
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On removable singularities of p-harmonic maps
In: Annales de l'Institut Henri Poincaré - Analyse Non Linéaire 7 (1990), S. 385-405
ISSN: 0294-1449
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On the existence of integral currents with prescribed mean curvature vector
In: Manuscripta Mathematica 67 (1990), S. 41-67
ISSN: 0025-2611
DOI: 10.1007/BF02568422
URL: http://www.springerlink.com/content/f87239377k748433/fulltext.pdf
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An optimal estimate for the singular set of a harmonic map in the free boundary
In: Journal für die reine und angewandte Mathematik 401 (1989), S. 157-187
ISSN: 1435-5345
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A partial regularity theorem for harmonic maps at a free boundary
In: Asymptotic Analysis 2 (1989), S. 299-343
ISSN: 0921-7134
URL: http://www.iospress.nl/loadtop/load.php?isbn=09217134
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Variational inequalities and harmonic mappings
In: Journal für die reine und angewandte Mathematik 374 (1987), S. 39-60
ISSN: 1435-5345
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Optimal regularity theorems for variational problems with obstacles
In: Manuscripta Mathematica 56 (1986), S. 209-234
ISSN: 0025-2611
URL: http://www.springerlink.com/content/g6776qu144261x42/fulltext.pdf
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Variational problems with non-convex obstacles and an integral constraint for vector-valued functions
In: Mathematische Zeitschrift 191 (1986), S. 585-591
ISSN: 0025-5874
URL: http://www.springerlink.com/content/jl471u5686011245/fulltext.pdf
BibTeX: Download
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