On semilinear elliptic equations involving concave-convex nonlinearities and sign-changing weight function

被引：178

作者：

Wu, TF ^{[1
]}

机构：

[1] So Taiwan Univ Technol, Ctr Gen Educ, Tainan 71005, Taiwan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 318卷 / 01期

关键词：

semilinear elliptic equations; Nehari manifold; concave-convex nonlinearities;

D O I：

10.1016/j.jmaa.2005.05.057

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the combined effect of concave and convex nonlinearities on the number of positive solutions for semilinear elliptic equations with a sign-changing weight function. With the help of the Nehari manifold, we prove that there are at least two positive solutions for Eq. (E-lambda,E-f) in bounded domains. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：253 / 270

页数：18

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