RN中一类(p, q)-Laplacian椭圆方程组的多重正解

数学物理学报 ›› 2014, Vol. 34 ›› Issue (5): 1264-1274.

R^N中一类(p, q)-Laplacian椭圆方程组的多重正解

张文丽¹, 钟立楠²

1.长治学院数学系山西长治 046011|
2.延边大学理学院数学系吉林延吉 133002

收稿日期:2013-07-21 修回日期:2014-05-14 出版日期:2014-10-25 发布日期:2014-10-25
基金资助:
国家自然科学基金(11261062)和山西省高校科技研究开发项目(20111129, 2013158)资助

Multiplicity of Positive Solutions for a (p, q-Laplacian Elliptic Systems in R^N

1.Department of Mathematics, Changzhi University, Shanxi Changzhi 046011;
2.Department of Mathematics, College of Science, Yanbian University, Jilin |Yanji 133002

Received:2013-07-21 Revised:2014-05-14 Online:2014-10-25 Published:2014-10-25
Supported by:
国家自然科学基金(11261062)和山西省高校科技研究开发项目(20111129, 2013158)资助

摘要/Abstract

摘要：

研究了一类(p, q)-Laplacian拟线性椭圆方程组问题,利用Nehari流形和Ljusternik-Schnirelmann 畴数理论,探讨了位势函数f(x)如何影响这类方程组正解的个数.

关键词: 正解, (p, q)-Laplacian拟线性方程组, Nehari 流形, Ljusternik-Schnirelmann 畴数理论

Abstract:

In the paper, by using Nehari manifold and Ljusternik-Schnirelmann theory, we investigate how the shape of the graph of f(x) affects the number of positive solutions of a class of (p, q)-Laplacian systems.

Key words: Positive solutions, (p, q)-Laplacian quasilinear systems, Nehari manifold, Ljusternik-Schnirelmann category theory

中图分类号:

34B15

张文丽, 钟立楠. R^N中一类(p, q)-Laplacian椭圆方程组的多重正解[J]. 数学物理学报, 2014, 34(5): 1264-1274.

ZHANG Wen-Li, ZHONG Li-Nan. Multiplicity of Positive Solutions for a (p, q-Laplacian Elliptic Systems in R^N[J]. Acta mathematica scientia,Series A, 2014, 34(5): 1264-1274.

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