Antisymmetric solutions for a class of quasilinear defocusing Schrödinger equations

In this paper we consider the existence of antisymmetric solutions for the quasilinear defocusing Schrödinger equation in $H^1(\mathbb{R}^N)$: $$ -\Delta u +\frac{k}{2}u \Delta u^2+V(x)u=g(u), $$ where $N\geq 3$, $V(x)$ is a positive continuous potential, $g(u)$ is of subcritical growth and $k$ is a...

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Bibliographic Details
Main Authors: Janete Soares Gamboa, Jiazheng Zhou
Format: Article
Language:English
Published: University of Szeged 2020-03-01
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=8017