EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS

doi:10.1016/S0252-9602(12)60197-0

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (1): 107-121.doi: 10.1016/S0252-9602(12)60197-0

EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS

李圆晓|高文杰

College of Science, Henan University of Technology, Zhengzhou 450001, China； Institute of Mathematics, Jilin University, Changchun 130012, China

收稿日期:2011-10-10 修回日期:2012-02-24 出版日期:2013-01-20 发布日期:2013-01-20
基金资助:
This project is supported by NSFC (10771085), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education, and the 985 Program of Jilin University.

EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS

LI Yuan-Xiao, GAO Wen-Jie

College of Science, Henan University of Technology, Zhengzhou 450001, China； Institute of Mathematics, Jilin University, Changchun 130012, China

Received:2011-10-10 Revised:2012-02-24 Online:2013-01-20 Published:2013-01-20
Supported by:
This project is supported by NSFC (10771085), Key Lab of Symbolic Computation and Knowledge Engineering of Ministry of Education, and the 985 Program of Jilin University.

摘要/Abstract

摘要：

The main purpose of this paper is to establish the existence of multiple so-lutions for singular elliptic system involving the critical Sobolev-Hardy exponents and concave-convex nonlinearities. It is shown, by means of variational methods, that under certain conditions, the system has at least two positive solutions.

关键词: singular elliptic system, concave-convex nonlinearities, positive solution, Ne-hari manifold, critical Sobolev-Hardy exponent

Abstract:

Key words: singular elliptic system, concave-convex nonlinearities, positive solution, Ne-hari manifold, critical Sobolev-Hardy exponent

中图分类号:

35J61

李圆晓, 高文杰. EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS[J]. 数学物理学报(英文版), 2013, 33(1): 107-121.

LI Yuan-Xiao, GAO Wen-Jie. EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS[J]. Acta mathematica scientia,Series B, 2013, 33(1): 107-121.

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EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS

EXISTENCE OF MULTIPLE SOLUTIONS FOR SINGULAR QUASILINEAR ELLIPTIC SYSTEM WITH CRITICAL SOBOLEV-HARDY EXPONENTS AND CONCAVE-CONVEX TERMS

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