Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method
type: Item
instance of: scholarly article
title: Existence of nontrivial solutions and high energy solutions for a class of quasilinear Schrödinger equations via the dual-perturbation method
zbMATH Open document ID: 1294.35020
DOI: 10.1155/2013/256324
author: Yu Chen
author: Xian Wu
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: We study the quasilinear Schrödinger equation of the form \(-\Delta u+V(x)u-\Delta(u^2)u=h(x,u)\), \(x\in \mathbb{R}^N\). Under appropriate assumptions on \(V(x)\) and \(h(x,u)\), existence results of nontrivial solutions and high energy solutions are obtained by the dual-perturbation method.
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 6306566
zbMATH Keywords: quasilinear Schrödinger equation
zbMATH Keywords: dual-perturbation method
Wikidata QID: Q58915695
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/256324
OpenAlex ID: W1966403406
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description: scientific article; zbMATH DE number 6306566