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.

引用

页数：10

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