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