On a p-Kirchhoff equation via Krasnoselskii's genus

被引：117

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

页码：819 / 822

页数：4

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