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&...

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Bibliographic Details
Main Authors: Mingqi Xiang, Binlin Zhang, Zhe Wei
Format: Article
Language:English
Published: University of Szeged 2016-11-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5164