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.

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.

DOI : 10.1051/cocv/2011189
Classification : 35J70, 35B20
Mots-clés : p-laplacian operator, limit index, critical growth, concentration-compactness principle 
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     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},
     publisher = {EDP-Sciences},
     volume = {18},
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     doi = {10.1051/cocv/2011189},
     zbl = {1276.35091},
     language = {en},
     url = {http://www.numdam.org/articles/10.1051/cocv/2011189/}
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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. http://www.numdam.org/articles/10.1051/cocv/2011189/

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