Issue |
ESAIM: COCV
Volume 18, Number 4, October-December 2012
|
|
---|---|---|
Page(s) | 930 - 940 | |
DOI | https://doi.org/10.1051/cocv/2011189 | |
Published online | 16 January 2012 |
Multiplicity of solutions for the noncooperative p-Laplacian operator elliptic system with nonlinear boundary conditions
1
College of Mathematics, Changchun Normal University,
Changchun
130032, Jilin, P.R. China
liangsihua@163.com
2
Jiangsu Key Laboratory for NSLSCS, School of Mathematical
Sciences, Nanjing Normal University, Nanjing, Jiangsu
210046, P.R.
China
jihuiz@jlonline.com
Received:
5
May
2011
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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