Multiple positive solutions for a class of concave-convex elliptic problems in RN involving sign-changing weight

被引：113

作者：

Wu, Tsung-fang ^{[1
]}

机构：

[1] Natl Univ Kaohsiung, Dept Appl Math, Kaohsiung 811, Taiwan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2010年 / 258卷 / 01期

关键词：

Semilinear elliptic equations; Sign-changing weight; Multiple positive solutions; MAXIMUM PRINCIPLE; EQUATIONS; NONLINEARITIES; EXPONENTS; SYMMETRY;

D O I：

10.1016/j.jfa.2009.08.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the multiplicity of positive solutions for the following concave-convex elliptic equation: [GRAPHICS] where 1 < 1 < 2 < p < 2* (2* = 2N/N-2 if N >= 3, 2* = infinity if N = 1, 2) and the parameters lambda, mu >= 0. We assume that f(lambda)(x) = lambda f (+) f (-) (x) is sign-changing and g(mu)(x) = a(x) + mu b(x), where the functions f(+/-), a and b satisfy suitable conditions. (C) 2009 Elsevier Inc. All rights reserved.

引用

页码：99 / 131

页数：33

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