Nonlinear perturbations of a p(x)-Laplacian equation with critical growth in RN

被引：15

作者：

Alves, Claudianor O. ^{[1
]}

Ferreira, Marcelo C. ^{[1
]}

机构：

[1] Univ Fed Campina Grande, Unidade Acad Matemat, BR-58429900 Campina Grande, PB, Brazil

来源：

MATHEMATISCHE NACHRICHTEN | 2014年 / 287卷 / 8-9期

关键词：

Variational methods; p(x)-Laplacian; critical growth; ELLIPTIC-EQUATIONS; VARIABLE EXPONENT; REGULARITY; EXISTENCE; MULTIPLICITY; THEOREMS;

D O I：

10.1002/mana.201200336

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence of solution for a class of p(x)-Laplacian equations where the nonlinearity has a critical growth. Here, we consider two cases: the first case involves the situation where the variable exponents are periodic functions. The second one involves the case where the variable exponents are nonperiodic perturbations. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim

引用

页码：849 / 868

页数：20

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