A new partial regularity proof for solutions of nonlinear elliptic systems

被引：0

作者：

Christoph Hamburger

机构：

来源：

manuscripta mathematica | 1998年 / 95卷

关键词：

Weak Solution; Bilinear Form; Elliptic System; Manuscripta Math; Partial Regularity;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove partial regularity for weak solutionsu of the fully nonlinear elliptic system divA (x, u, Du) +B (x, u, Du)=0, whereA andB have natural polynomial growth, and whereB satisfies a two-sided or a one-sided condition. We do not employ a reverse Hölder inequality.

引用

页码：11 / 31

页数：20

共 50 条

[31] ON A METHOD OF K-UHLENBECK FOR PROVING PARTIAL REGULARITY FOR SOLUTIONS OF CERTAIN NONLINEAR ELLIPTIC-SYSTEMS
GIARRUSSO, E
MANUSCRIPTA MATHEMATICA, 1986, 54 (04) : 381 - 390
[32] REGULARITY FOR SOLUTIONS TO NONLINEAR ELLIPTIC EQUATIONS
Greco, Luigi
Moscariello, Gioconda
Zecca, Gabriella
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2013, 26 (9-10) : 1105 - 1113
[33] New argument for gevrey regularity of solutions of nonlinear elliptic PDEs
Tri, NM
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2003, 10 (03) : 353 - 358
[34] OPTIMAL PARTIAL REGULARITY RESULTS FOR NONLINEAR ELLIPTIC SYSTEMS IN CARNOT GROUPS
Chen, Shuhong
Tan, Zhong
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2013, 33 (08) : 3391 - 3405
[35] A new proof of partial regularity of solutions to Navier-Stokes equations
Vasseur, Alexis F.
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2007, 14 (5-6): : 753 - 785
[36] A new proof of partial regularity of solutions to Navier-Stokes equations
Alexis F. Vasseur
Nonlinear Differential Equations and Applications NoDEA, 2007, 14 : 753 - 785
[37] The regularity of generalized solutions of degenerate nonlinear higher order elliptic systems
Bonafede, S.
Nicolosi, F.
APPLICABLE ANALYSIS, 2010, 89 (03) : 337 - 352
[38] Partial Regularity of Solutions of Nonlinear Superelliptic Systems with Subquadratic Growth
Hamburger, Christoph
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2019, 38 (02): : 191 - 208
[39] REGULARITY FOR NONLINEAR ELLIPTIC EQUATIONS AND SYSTEMS
Marcellini, Paolo
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI, 2020, 98
[40] Boundary regularity for nonlinear elliptic systems
Grotowski, JF
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2002, 15 (03) : 353 - 388

← 1 2 3 4 5 →