Existence of infinitely many radial and non-radial solutions for quasilinear Schrödinger equations with general nonlinearity

In this paper, we prove the existence of many solutions for the following quasilinear Schrödinger equation \begin{equation*} -\Delta u - u\Delta(|u|^2) + V(|x|)u = f(|x|,u),\qquad x \in \mathbb{R}^N. \end{equation*} Under some generalized assumptions on $f$, we obtain infinitely many radial solution...

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Bibliografske podrobnosti

Principais autores:	Jianhua Chen, Xianhua Tang, Jian Zhang, Huxiao Luo
Format:	Artigo
Jezik:	Inglês
Izdano:	University of Szeged 2017-05-01
Serija:	Electronic Journal of Qualitative Theory of Differential Equations
Teme:	quasilinear schrödinger equation radial solution non-radial solution symmetric mountain pass theorem
Online dostop:	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=5583
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