Existence and concentration result for a quasilinear Schrödinger equation with critical growth
type: Item
instance of: scholarly article
title: Existence and concentration result for a quasilinear Schrödinger equation with critical growth
zbMATH Open document ID: 1383.35092
author: Liuyang Shao
author: Haibo Chen
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2018-01-22T00:00:00Z
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B09
Mathematics Subject Classification ID: 35J20
zbMATH DE Number: 6828446
zbMATH Keywords: quasilinear Schrödinger equation
zbMATH Keywords: variational methods
zbMATH Keywords: ground state solution
MaRDI profile type: Publication
full work available at URL: s00033-017-0869-6
OpenAlex ID: W2766035529
cites work: Evolution theorem for a class of perturbed envelope soliton solutions
cites work: Nash moser methods for the solution of quasilinear schrödinger equations
cites work: Global existence of small solutions to a relativistic nonlinear Schrödinger equation
cites work: Time-dependent dissipation in nonlinear Schrödinger systems
cites work: On multiplicity and concentration of positive solutions for a class of quasilinear problems with critical exponential growth in \(\mathbb R^{N}\)
cites work: Existence and concentration behavior of positive solutions for a Kirchhoff equation in \(\mathbb R^3\)
cites work: Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
cites work: Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
cites work: On ground state solutions for some non-autonomous Schrödinger-Poisson systems
cites work: On concentration of positive bound states of nonlinear Schrödinger equations
cites work: Existence and concentration of ground states to a quasilinear problem with competing potentials
cites work: Existence and concentration of ground state solutions for a subcubic quasilinear problem via Pohozaev manifold
cites work: Soliton solutions for quasilinear Schrödinger equations. II.
cites work: Existence and concentration of positive solutions for a quasilinear equation in \(\mathbb R^N\)
cites work: Infinitely many radial and non-radial solutions to a quasilinear Schrödinger equation
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. I
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: Variational Methods
cites work: Existence of ground state solutions for a quasilinear Schrödinger equation with critical growth
cites work: C1 + α local regularity of weak solutions of degenerate elliptic equations
cites work: On a class of nonlinear Schrödinger equations
cites work: On harnack type inequalities and their application to quasilinear elliptic equations
cites work: Q3342966
cites work: Local mountain-pass for a class of elliptic problems in \(\mathbb R^N\) involving critical growth
cites work: Solitary waves for a class of quasilinear Schrödinger equations in dimension two
DOI: 10.1007/S00033-017-0869-6
description: scientific article; zbMATH DE number 6828446