Renormalized solutions for nonlinear elliptic equations with variable exponents and L1 data

被引：74

作者：

Bendahmane, Mostafa ^{[1
]}

Wittbold, Petra ^{[2
]}

机构：

[1] Univ Concepcion, Dept Ingn Matemat, Concepcion, Chile

[2] Tech Univ Berlin, Inst Math, D-10623 Berlin, Germany

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 70卷 / 02期

关键词：

Elliptic equation; Variable exponents; Renormalized solution; Existence; Uniqueness; PARABOLIC EQUATIONS; SOBOLEV SPACES; EXISTENCE; FUNCTIONALS; REGULARITY; UNIQUENESS;

D O I：

10.1016/j.na.2007.12.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove existence and uniqueness of a renormalized solution to nonlinear elliptic equations with variable exponents and L data. The functional setting involves Lebesgue-Sobolev space with variable exponents W-l.p(.) (Omega). (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：567 / 583

页数：17

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