An indefinite type equation involving two p-Laplacians

被引：11
|
作者：
Ramos Quoirin, Humberto [1 ]
机构：
[1] Univ Santiago Chile, Santiago, Chile
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期
关键词：
p-Laplacian; Indefinite weight; Nehari manifold;
D O I：
10.1016/j.jmaa.2011.08.074
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a problem involving the operators -Delta + W and its p-homogeneous version -Delta(p) + V. The existence of three non-negative solutions is obtained under indefinite type conditions on these operators. To this aim, we proceed by minimization of the energy functional on open parts of the Nehari manifold. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：189 / 200
页数：12
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