Volume 18, Number 4, October-December 2012
|Page(s)||930 - 940|
|Published online||16 January 2012|
Multiplicity of solutions for the noncooperative p-Laplacian operator elliptic system with nonlinear boundary conditions
College of Mathematics, Changchun Normal University,
130032, Jilin, P.R. China
2 Jiangsu Key Laboratory for NSLSCS, School of Mathematical Sciences, Nanjing Normal University, Nanjing, Jiangsu 210046, P.R. China
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.
Mathematics Subject Classification: 35J70 / 35B20
Key words: p-Laplacian operator / limit index / critical growth / concentration-compactness principle
© EDP Sciences, SMAI, 2012
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