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 operator, limit index, critical growth, concentration-compactness principle
@article{COCV_2012__18_4_930_0,
author = {Liang, Sihua and Zhang, Jihui},
title = {Multiplicity of solutions for the noncooperative $p$-laplacian operator elliptic system with nonlinear boundary conditions},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {930--940},
year = {2012},
publisher = {EDP Sciences},
volume = {18},
number = {4},
doi = {10.1051/cocv/2011189},
zbl = {1276.35091},
language = {en},
url = {https://www.numdam.org/articles/10.1051/cocv/2011189/}
}
TY - JOUR AU - Liang, Sihua AU - Zhang, Jihui TI - Multiplicity of solutions for the noncooperative $p$-laplacian operator elliptic system with nonlinear boundary conditions JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2012 SP - 930 EP - 940 VL - 18 IS - 4 PB - EDP Sciences UR - https://www.numdam.org/articles/10.1051/cocv/2011189/ DO - 10.1051/cocv/2011189 LA - en ID - COCV_2012__18_4_930_0 ER -
%0 Journal Article %A Liang, Sihua %A Zhang, Jihui %T Multiplicity of solutions for the noncooperative $p$-laplacian operator elliptic system with nonlinear boundary conditions %J ESAIM: Control, Optimisation and Calculus of Variations %D 2012 %P 930-940 %V 18 %N 4 %I EDP Sciences %U https://www.numdam.org/articles/10.1051/cocv/2011189/ %R 10.1051/cocv/2011189 %G en %F COCV_2012__18_4_930_0
Liang, Sihua; Zhang, Jihui. Multiplicity of solutions for the noncooperative $p$-laplacian operator elliptic system with nonlinear boundary conditions. ESAIM: Control, Optimisation and Calculus of Variations, Tome 18 (2012) no. 4, pp. 930-940. doi: 10.1051/cocv/2011189
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