Concentrating solutions of nonlinear fractional Schrödinger equation with potentials

From MaRDI portal
Publication:2254011

DOI10.1016/J.JDE.2014.10.012zbMath1348.35243OpenAlexW2079511279MaRDI QIDQ2254011

Xudong Shang, Ji Hui Zhang

Publication date: 4 February 2015

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.10.012




Related Items (47)

Multi-peak semiclassical bound states for fractional Schrödinger equations with fast decaying potentialsExistence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization methodMultiplicity of positive solutions for fractional elliptic systems involving sign-changing weightA multiplicity result for a nonlinear fractional Schrödinger equation in \(\mathbb{R}^N\) without the Ambrosetti-Rabinowitz conditionConcentration phenomena for fractional elliptic equations involving exponential critical growthWeak solutions for a fractionalp-Laplacian equation with sign-changing potentialNew existence of solutions for the fractional \(p\)-Laplacian equations with sign-changing potential and nonlinearitySingularly perturbed fractional Schrödinger equation involving a general critical nonlinearityMultiple solutions for a fractional nonlinear Schrödinger equation with local potentialMulti-peak solutions to fractional nonlinear Schrödinger equation with general nonlinearityEntire solutions of nonlocal elasticity models for composite materialsMultiplicity of positive solutions for a class of fractional Schrödinger equations via penalization methodAnalysis of the damped nonlinear space-fractional Schrödinger equationFractional NLS equations with magnetic field, critical frequency and critical growthSpike solutions for a fractional elliptic equation in a compact Riemannian manifoldExistence and multiplicity of solutions for perturbed fractional p-Laplacian equations with critical nonlinearity in NMulti-peak solutions of a class of fractional \(p\)-Laplacian equationsMultiplicity of semiclassical solutions for fractional Choquard equations with critical growthMulti-bump positive solutions of a fractional nonlinear Schrödinger equation in \(\mathbb{R}^N\)Existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff system involving the fractional \(p\)-Laplacian with sign-changing potentialMultiplicity and concentration of solutions for a fractional Schrödinger equation via Nehari method and pseudo-index theorySemi-classical solutions for fractional Schrödinger equations with potential vanishing at infinityThe critical fractional Schrödinger equation with a small superlinear termMultiplicity and concentration of positive solutions to the fractional Kirchhoff type problems involving sign-changing weight functionsNew existence of multiple solutions for nonhomogeneous Schrödinger-Kirchhoff problems involving the fractional \(p\)-Laplacian with sign-changing potentialInfinitely many radial and non-radial solutions for a fractional Schrödinger equationExistence of weak solutions for a fractional \(p\)-Laplacian equation in \(\mathbb R^N\)Ground state of Kirchhoff type fractional Schrödinger equations with critical growthModulational instability in fractional nonlinear Schrödinger equationGround state sign-changing solutions for a class of nonlinear fractional Schrödinger-Poisson system with potential vanishing at infinityTime fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by Gaussian white noiseMultiplicity of semiclassical states for fractional Schrödinger equations with critical frequencyAnalysis of time fractional and space nonlocal stochastic nonlinear Schrödinger equation driven by multiplicative white noiseOrbital stability of standing waves for nonlinear fractional Schrödinger equation with unbounded potentialExistence of normalized solutions for nonlinear fractional Schrödinger equations with trapping potentialsExistence of solutions for a class of fractional elliptic problems on exterior domainsA critical nonlinear fractional elliptic equation with saddle-like potential in ℝNSolutions of p-Kirchhoff type problems with critical nonlinearity in R NThe existence of normalized solutions for a nonlocal problem in \(\mathbb{R}^3\)Multi-spike positive solutions for nonlinear fractional Schrödinger equationsExistence of the global solution for fractional logarithmic Schrödinger equationInfinitely many solutions for a class of sublinear fractional Schrödinger equations with indefinite potentialsExistence and concentration of ground states of fractional nonlinear Schrödinger equations with potentials vanishing at infinityEXISTENCE AND CONCENTRATION OF SOLUTION FOR A NON-LOCAL REGIONAL SCHRÖDINGER EQUATION WITH COMPETING POTENTIALSSemi-classical analysis for fractional Schrödinger equations with fast decaying potentialsLeast energy sign-changing solutions for the fractional Schrödinger-Poisson systems in \(\mathbb{R}^3\)Concentration phenomenon of solutions for fractional Choquard equations with upper critical growth




Cites Work




This page was built for publication: Concentrating solutions of nonlinear fractional Schrödinger equation with potentials