Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on ℝN
ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1231-1248.

In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation - Δ u + V ( x ) u - Δ p u + W ' ( u ) = 0 , ℝ N ,

where u   =   ( u 1 , u 2 , ... , u N + 1 ) , p > N ≥ 2 , W is a singular function and  V is a positive continuous function.

DOI : 10.1051/cocv/2017045
Classification : 35J60, 35A15
Mots-clés : Nonlinear elliptic equations, variational methods
Alves, Claudianor O. 1 ; dos Santos, Alan C.B. 1

1 
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     title = {Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on {\ensuremath{\mathbb{R}}\protect\textsuperscript{N}}},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
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Alves, Claudianor O.; dos Santos, Alan C.B. Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on ℝN. ESAIM: Control, Optimisation and Calculus of Variations, Tome 24 (2018) no. 3, pp. 1231-1248. doi : 10.1051/cocv/2017045. http://www.numdam.org/articles/10.1051/cocv/2017045/

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