Existence of weak solutions for some nonlinear elliptic equations with variable exponents

被引：1

作者：

Lv, Boqiang ^{[1
,2
]}

Li, Fengquan ^{[1
]}

Zou, Weilin ^{[2
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Nanchang Hangkong Univ, Coll Math & Informat Sci, Nanchang 330063, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2013年 / 58卷 / 10期

关键词：

Nonlinear elliptic equations; L; estimates; variable exponents; weak solution; existence; Primary: 35D05; Secondary: 35J60; 35J70; 26D07; RENORMALIZED SOLUTIONS; SOBOLEV SPACES; REGULARITY; GROWTH;

D O I：

10.1080/17476933.2012.681648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article we study a class of nonlinear elliptic equations with variable exponents. We obtain an L estimate on the solutions and prove the existence of weak solutions to such problems.

引用

页码：1431 / 1447

页数：17

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