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Multiplicity of solutions for the noncooperative p-Laplacian operator elliptic system with nonlinear boundary conditions

Published online by Cambridge University Press:  16 January 2012

Sihua Liang  and
Jihui Zhang
Sihua Liang
Affiliation:
College of Mathematics, Changchun Normal University, Changchun 130032, Jilin, P.R. China. liangsihua@163.com
Jihui Zhang
Affiliation:
Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210046, P.R. China; jihuiz@jlonline.com
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Abstract

In this paper, we study the multiplicity of solutions for a class of noncooperative p-Laplacian operator elliptic system. Under suitable assumptions, we obtain a sequence of solutions by using the limit index theory.

Keywords

p-Laplacian operatorlimit indexcritical growthconcentration-compactness principle
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 18 , Issue 4 , October 2012 , pp. 930 - 940
Copyright
© EDP Sciences, SMAI, 2012

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