Entropy solutions for a doubly nonlinear elliptic problem with variable exponent

被引：16

作者：

Bonzi, Bernard K. ^{[1
]}

Ouaro, Stanislas ^{[1
]}

机构：

[1] Univ Ouagadougou, Lab Anal Math Equat LAME, UFR, Ouagadougou, Burkina Faso

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 370卷 / 02期

关键词：

Generalized Lebesgue-Sobolev spaces; Weak energy solution; Entropy solution; p(x)-Laplace operator; Electrorheological fluids; Thermorheological fluids; SOBOLEV EMBEDDINGS; ELECTRORHEOLOGICAL FLUIDS; NONSTANDARD GROWTH; FUNCTIONALS; EXISTENCE; EQUATIONS;

D O I：

10.1016/j.jmaa.2010.05.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the boundary value problem b(u) - diva(x, del u) = f in Omega, u = 0 on partial derivative Omega, where Omega is a smooth bounded domain in R-N (N >= 3) and div a(x, del u) is a p(x)-Laplace type operator with p(.) : Omega -> [1, +infinity) a measurable function and b a continuous and nondecreasing function from R -> R. We prove the existence and uniqueness of an entropy solution for L-1-data f. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：392 / 405

页数：14

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