On multiple solutions of a nonlinear Dirichlet problem

被引：10

作者：

Castro, A ^{[1
]}

Cossio, J

Neuberger, JM

机构：

[1] Univ N Texas, Dept Math, Denton, TX 76203 USA

[2] Univ Nacl Colombia, Dept Matemat, Medellin, Colombia

[3] Mississippi State Univ, Dept Math, Mississippi State, MS 39762 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1997年 / 30卷 / 06期

关键词：

nonlinear Dirichlet problem; multiplicity of solutions;

D O I：

10.1016/S0362-546X(96)00240-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a semilinear elliptic boundary value problem has five solutions when the range of the derivative of the nonlinearity includes at least the first two eigenvalues. We also prove that if the region is a ball the semilinear elliptic problem has two solutions that change sign and are nonradial.

引用

页码：3657 / 3662

页数：6

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