Existence of solutions to a class of quasilinear Schrödinger systems involving the fractional $p$-Laplacian

The purpose of this paper is to investigate the existence of solutions to the following quasilinear Schr\"{o}dinger type system driven by the fractional $p$-Laplacian \begin{align*} (-\Delta)^{s}_pu+a(x)|u|^{p-2}u&=H_u(x,u,v)\quad \mbox{in } \mathbb{R}^N,\\ (-\Delta)^s_qv+b(x)|v|^{q-2}v&=H_v(x,u,v)\...

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Autors principals:	Mingqi Xiang, Binlin Zhang, Zhe Wei
Format:	Artigo
Idioma:	Inglês
Publicat:	University of Szeged 2016-11-01
Col·lecció:	Electronic Journal of Qualitative Theory of Differential Equations
Matèries:	schrödinger system fractional $p$-laplacian mountain pass theorem
Accés en línia:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5164
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