Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
type: Item
instance of: scholarly article
title: Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
zbMATH Open document ID: 1338.35463
author: Tian-Xiang Gou
author: Hong-Rui Sun
published in: Applied Mathematics and Computation
publication date: 2016-06-23T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 6597065
zbMATH Keywords: fractional Laplacian
zbMATH Keywords: Ambrosetti-Rabinowitz condition
zbMATH Keywords: mountain pass lemma
zbMATH Keywords: concentration compactness principle
MaRDI profile type: Publication
full work available at URL: j.amc.2014.09.035
OpenAlex ID: W2072688683
cites work: Dual variational methods in critical point theory and applications
cites work: Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
cites work: Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
cites work: Bound state for the fractional Schrödinger equation with unbounded potential
cites work: Homoclinic type solutions for a semilinear elliptic PDE on ℝn
cites work: Existence and symmetry results for a Schrödinger type problem involving the fractional Laplacian
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Existence and stability of standing waves for nonlinear fractional Schrödinger equations
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: The existence of a nontrivial solution to a nonlinear elliptic problem of linking type without the Ambrosetti-Rabinowitz condition
cites work: The existence of nontrivial solutions to a semilinear elliptic system on \(\mathbb R^N\) without the Ambrosetti-Rabinowitz condition
cites work: The existence of a nontrivial solution to a nonlinear elliptic boundary value problem of \(p\)-Laplacian type without the Ambrosetti-Rabinowitz condition
cites work: Superlinear problems without Ambrosetti and Rabinowitz growth condition
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: Superlinear problems
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: On superlinear \(p(x)\)-Laplacian problems without Ambrosetti and Rabinowitz condition
cites work: Minimax theorems
cites work: Optimal regularity and nondegeneracy of a free boundary problem related to the fractional Laplacian
DOI: 10.1016/J.AMC.2014.09.035
description: scientific article; zbMATH DE number 6597065