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

The main purpose of this paper is to establish the existence of multiple solutions 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 p...

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Veröffentlicht in:Acta mathematica scientia 2013, Vol.33 (1), p.107-121
1. Verfasser: 李圆晓 高文杰
Format: Artikel
Sprache:eng
Schlagworte:
35J50
35J61
concave-convex nonlinearities
critical Sobolev-Hardy exponent
Exponents
Mathematical analysis
Nehari manifold
Nonlinearity
positive solution
singular elliptic system
Variational methods
临界
变分方法
奇异
拟线性椭圆型方程组
指数和
椭圆系统
解的存在性
非线性
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Beschreibung
Zusammenfassung:The main purpose of this paper is to establish the existence of multiple solutions 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.
ISSN:0252-9602
1572-9087
DOI:10.1016/S0252-9602(12)60197-0