REMARKS ON A CLASS OF QUASILINEAR ELLIPTIC SYSTEMS INVOLVING THE (P,Q)-LAPLACIAN

被引：0
|
作者：
Zhang, Guoqing [1 ,2 ]
Liu, Xiping [2 ]
Liu, Sanyang [1 ]
机构：
[1] Xidian Univ, Dept Appl Math, Xian 710071, Shaanxi, Peoples R China
[2] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2005年
关键词：
Nehari manifold; (p; q)-Laplacian; variational methods;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the Nehari manifold for a class of quasilinear elliptic systems involving a pair of (p,q)-Laplacian operators and a parameter. We prove the existence of a nonnegative nonsemitrivial solution for the systems by discussing properties of the Nehari manifold, and so global bifurcation results are obtained. Thanks to Picone's identity, we also prove a nonexistence result.
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页数：10
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