Multiplicity results for a class of superlinear elliptic problems

被引：41

作者：

Costa, DG ^{[1
]}

Wang, ZQ

机构：

[1] Univ Nevada, Dept Math Sci, Las Vegas, NV 89154 USA

[2] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Peoples R China

[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 03期

关键词：

D O I：

10.1090/S0002-9939-04-07635-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a class of superlinear elliptic problems -Deltau =lambdaf(u) under the Dirichlet boundary condition on a bounded smooth domain in R-N. Assuming that the nonlinearity f(u) is superlinear in a neighborhood of u = 0, we study the dependence of the number of signed and sign-changing solutions on the parameter lambda.

引用

页码：787 / 794

页数：8

共 6 条

[1]

Ambrosetti A., 1973, Journal of Functional Analysis, V14, P349, DOI 10.1016/0022-1236(73)90051-7

[2] On the sign of the mountain pass solution [J].