Existence and multiplicity of solutions for a class of p&q elliptic problems with critical exponent

被引：43
作者：
Figueiredo, Giovany M. [1 ]
机构：
[1] Fed Univ Para, Fac Matemat, BR-66059 Belem, Para, Brazil
来源：
MATHEMATISCHE NACHRICHTEN | 2013年 / 286卷 / 11-12期
关键词：
p & q laplacian; variational methods; critical growth; POSITIVE SOLUTIONS; CRITICAL GROWTH; R-N; EQUATIONS;
D O I：
10.1002/mana.201100237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the existence and multiplicity of nontrivial solutions to the following class of p&q elliptic problems with critical exponent -div(a(vertical bar del u vertical bar(p))vertical bar del u vertical bar(p-2)del u)-lambda vertical bar u vertical bar(s-2)u+vertical bar u vertical bar gamma*(-2) in Omega, and u - 0 on partial derivative Omega, where Omega subset of R-N is a bounded smooth domain, N >= 3, lambda is a positive parameter and a: R -> R is a function of C-1 class. Here 1 < gamma < N, gamma < s < gamma* or 1 < s < gamma be stated later. (C) 2013 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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页码：1129 / 1141
页数：13
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