ENTROPY AND RENORMALIZED SOLUTIONS FOR THE p(x)-LAPLACIAN EQUATION WITH MEASURE DATA

被引：31

作者：

Zhang, Chao ^{[1
]}

Zhou, Shulin ^{[1
]}

机构：

[1] Peking Univ, Sch Math Sci, LMAM, Beijing 100871, Peoples R China

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2010年 / 82卷 / 03期

关键词：

variable exponents; entropy solutions; renormalized solutions; existence; uniqueness; NONLINEAR ELLIPTIC-EQUATIONS; EXPONENT SOBOLEV SPACES; VARIABLE EXPONENT; EXISTENCE; REGULARITY; UNIQUENESS; FUNCTIONALS;

D O I：

10.1017/S0004972710000432

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove the existence and uniqueness of both entropy solutions and renormalized solutions for the p(x)-Laplacian equation with variable exponents and a signed measure in L-1 (Omega) + W--1,W-p'(.)(Omega). Moreover, we obtain the equivalence of entropy solutions and renormalized solutions.

引用

页码：459 / 479

页数：21

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