On a p-Kirchhoff equation via Krasnoselskii's genus

被引：114
|
作者：
Correa, Francisco Julio S. A. [1 ]
Figueiredo, Giovany M. [2 ]
机构：
[1] Univ Fed Campina Grande, Unidade Acad Matemat & Estatisit, BR-58109970 Paraiba, PB, Brazil
[2] Fed Univ Para, Fac Matemat, ICEN, BR-66075110 Belem, Para, Brazil
来源：
APPLIED MATHEMATICS LETTERS | 2009年 / 22卷 / 06期
关键词：
Genus theory; Nonlocal problems; Kirchhoff equation; ELLIPTIC EQUATION;
D O I：
10.1016/j.aml.2008.06.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work will use the genus theory, introduced by Krasnoselskii, to show a result of existence and multiplicity of solutions of the p-Kirchhoff equation -[M(integral(Omega) vertical bar del u vertical bar(p)dx)](p-1) Delta(p)u = f(x, u) in Omega, u = 0 on partial derivative Omega where Omega is a bounded smooth domain of R-N, 1 < p < N, and M and f are continuous functions. (C) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码：819 / 822
页数：4
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