Existence of standing wave solutions for coupled quasilinear Schrödinger systems with critical exponents in $\mathbb{R}^N$

This paper is concerned with the following quasilinear Schrödinger system in $\mathbb{R}^N$: \begin{equation*} \begin{cases} -\varepsilon^2\Delta u+V_1(x)u-\varepsilon^2\Delta(u^{2})u=K_1(x)|u|^{22^*-2}u+h_1(x,u,v)u, \\ -\varepsilon^2\Delta v+V_2(x)v-\varepsilon^2\Delta(v^{2})v=K_2(x)|v|^{22^*-2}v+h...

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Bibliographic Details

Published in:	Electronic Journal of Qualitative Theory of Differential Equations
Main Authors:	Lili Wang, Xiangdong Fang, Zhi-Qing Han
Format:	Article
Language:	English
Published:	University of Szeged 2017-02-01
Subjects:	quasilinear schrödinger system critical growth standing wave solutions mountain pass theorem $(ps)_c$ sequence
Online Access:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5057