Local Holder continuity of weak solutions for an anisotropic elliptic equation

被引：2

作者：

Di Castro, Agnese ^{[1
,2
]}

机构：

[1] Univ Parma, Dipartimento Matemat, I-43124 Parma, Italy

[2] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2013年 / 20卷 / 03期

关键词：

Anisotropic elliptic problems; Local Holder continuity; Intrinsic scaling method; GENERAL GROWTH-CONDITIONS; VARIATIONAL-PROBLEMS; INTEGRAL FUNCTIONALS; NONSTANDARD GROWTH; SOBOLEV SPACES; REGULARITY; MINIMIZERS; BOUNDEDNESS; EXISTENCE;

D O I：

10.1007/s00030-012-0160-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove, following DiBenedetto's intrinsic scaling method, that a local bounded weak solution of the equation -Sigma(N)(i=1) partial derivative/partial derivative x(i) [vertical bar partial derivative u/partial derivative x(i)vertical bar(p)(i-2) partial derivative u/partial derivative x(i)] = f in Omega, is locally Holder continuous, where f is a given bounded function and p(i) >= 2, for any i = 1, . . . , N.

引用

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页码：463 / 486

页数：24

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