The critical fractional Schrödinger equation with a small superlinear term
type: Item
instance of: scholarly article
title: The critical fractional Schrödinger equation with a small superlinear term
zbMATH Open document ID: 1409.35231
author: Jian Zhang
author: Jichao Wang
author: Yanju Ji
published in: Nonlinear Analysis. Real World Applications
publication date: 2019-02-27T00:00:00Z
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35B33
zbMATH DE Number: 7030099
zbMATH Keywords: fractional Schrödinger equation
zbMATH Keywords: critical growth
zbMATH Keywords: variational method
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.07.003
OpenAlex ID: W2883071686
cites work: Fractional quantum mechanics and Lévy path integrals
cites work: Nonlocal diffusion and applications
cites work: An Extension Problem Related to the Fractional Laplacian
cites work: Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
cites work: Bound state for the fractional Schrödinger equation with unbounded potential
cites work: Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
cites work: Ground state solutions of asymptotically linear fractional Schrödinger equations
cites work: A critical nonlinear fractional elliptic equation with saddle-like potential in \(\mathbb{R}^N\)
cites work: Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
cites work: Concentrating standing waves for the fractional nonlinear Schrödinger equation
cites work: Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
cites work: Ground states and concentration phenomena for the fractional Schrödinger equation
cites work: Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
cites work: Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
cites work: On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
cites work: Ground state solutions of scalar field fractional Schrödinger equations
cites work: Multiple positive solutions for nonlinear critical fractional elliptic equations involving sign-changing weight functions
cites work: The existence of nontrivial solutions for the critical Kirchhoff type problem in \(\mathbb R^N\)
cites work: Q2995197
cites work: Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
cites work: Fractional Schrödinger-Poisson systems with a general subcritical or critical nonlinearity
cites work: Hitchhiker's guide to the fractional Sobolev spaces
cites work: On fractional Schrödinger equations in \({\mathbb R}^N\) without the Ambrosetti-Rabinowitz condition
cites work: Minimax theorems
cites work: Best constants for Sobolev inequalities for higher order fractional derivatives
cites work: The Brezis-Nirenberg result for the fractional Laplacian
cites work: Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
cites work: Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
cites work: Four positive solutions for the semilinear elliptic equation: \(-\Delta u+u=a(x) u^p +f(x)\) in \(\mathbb{R}^N\)
cites work: Critical point theory and Hamiltonian systems
cites work: The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
cites work: Multiple positive solutions of some elliptic problems via the Morse theory and the domain topology
cites work: A Variation of the Mountain Pass Lemma and Applications
DOI: 10.1016/J.NONRWA.2018.07.003
description: scientific article; zbMATH DE number 7030099