The partial regularity for minimizers of splitting type variational integrals under general growth conditions II. The nonautonomous case

被引：0

作者：

Breit D. ^{[1
]}

机构：

[1] Universität des Saarlandes, D-66041 Saarbrücken

来源：

Journal of Mathematical Sciences | 2010年 / 166卷 / 3期

关键词：

Variational Integral; High Integrability; Partial Regularity; Young Inequality; Splitting Type;

D O I：

10.1007/s10958-010-9866-4

中图分类号：

学科分类号：

摘要：

We consider splitting type variational problems with general growth conditions and prove the partial regularity (and the full regularity in 2D) of minimizers in the case of x-dependence. The results obtained generalize the results of Bildhauer and Fuchs concerning such problems with power growth conditions. Bibliography: 17 titles. © 2010 Springer Science+Business Media, Inc.

引用

页码：33 / 52

页数：19

共 15 条

[1] The partial regularity for minimizers of splitting type variational integrals under general growth conditions I. the autonomous case
Breit D.
[J]. Journal of Mathematical Sciences, 2010, 166 (3) : 15 - 32
[2] Partial regularity for local minimizers of splitting-type variational integrals
Bildhauer, M.
Fuchs, M.
[J]. ASYMPTOTIC ANALYSIS, 2007, 55 (1-2) : 33 - 47
[3] Interior Regularity for Free and Constrained Local Minimizers of Variational Integrals Under General Growth and Ellipticity Conditions
M. Bildhauer
M. Fuchs
[J]. Journal of Mathematical Sciences, 2004, 123 (6) : 4565 - 4576
[4] Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Goodrich, Christopher
Scilla, Giovanni
Stroffolini, Bianca
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2022, 152 (05) : 1191 - 1232
[5] A regularity theory for scalar local minimizers of splitting-type variational integrals
Bildhauer, Michael
Fuchs, Martin
Zhong, Xiao
[J]. ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2007, 6 (03) : 385 - 404
[6] Variational integrals of splitting-type: higher integrability under general growth conditions
M. Bildhauer
M. Fuchs
[J]. Annali di Matematica Pura ed Applicata, 2009, 188 : 467 - 496
[7] Variational integrals of splitting-type: higher integrability under general growth conditions
Bildhauer, M.
Fuchs, M.
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 2009, 188 (03) : 467 - 496
[8] BOUNDARY PARTIAL REGULARITY FOR MINIMIZERS OF DISCONTINUOUS QUASICONVEX INTEGRALS WITH GENERAL GROWTH
Ok, Jihoon
Scilla, Giovanni
Stroffolini, Bianca
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 21 (12) : 4173 - 4214
[9] Gradient regularity for minimizers under general growth conditions
Cianchi, A
Fusco, N
[J]. JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 1999, 507 : 15 - 36
[10] On the global regularity for minimizers of variational integrals: splitting-type problems in 2D and extensions to the general anisotropic setting
Michael Bildhauer
Martin Fuchs
[J]. Journal of Elliptic and Parabolic Equations, 2022, 8 : 853 - 884

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