Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation
type: Item
instance of: scholarly article
title: Multiplicity and concentration of positive solutions for fractional nonlinear Schrödinger equation
zbMATH Open document ID: 1395.35016
author: Xudong Shang
author: Jihui Zhang
published in: Communications on Pure and Applied Analysis
publication date: 2018-08-23T00:00:00Z
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35J61
Mathematics Subject Classification ID: 35B38
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35B09
zbMATH DE Number: 6923943
zbMATH Keywords: fractional Schrödinger equations
zbMATH Keywords: multiplicity of solutions
zbMATH Keywords: Ekeland's variational principle
MaRDI profile type: Publication
full work available at URL: cpaa.2018107
OpenAlex ID: W2805164373
cites work: Nonlocal diffusion and applications
cites work: Methods in Nonlinear Analysis
cites work: Multiplicity of positive and nodal solutions for nonlinear elliptic problems in \(\mathbb{R}^ N\)
cites work: The effect of concentrating potentials in some singularly perturbed problems
cites work: Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
cites work: Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
cites work: Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
cites work: Concentrating standing waves for the fractional nonlinear Schrödinger equation
cites work: Ground states and concentration phenomena for the fractional Schrödinger equation
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
cites work: The concentration-compactness principle in the calculus of variations. The locally compact case. II
cites work: On a class of nonlinear Schrödinger equations
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: On nonhomogeneous elliptic equations involving critical Sobolev exponent
cites work: Minimax theorems
DOI: 10.3934/CPAA.2018107
description: scientific article; zbMATH DE number 6923943