On the fractional Schrödinger problem with non-symmetric potential

DOI10.1002/mma.3309zbMath1375.35618OpenAlexW2024419516MaRDI QIDQ2795381

Publication date: 21 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3309

zbMATH Keywords

reduction Schrödinger equation fractional Laplacian non-symmetric potential

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Asymptotic expansions of solutions to PDEs (35C20) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Cites Work

Unnamed Item
Uniqueness of non-linear ground states for fractional Laplacians in $\mathbb{R}$
On some critical problems for the fractional Laplacian operator
A critical fractional equation with concave-convex power nonlinearities
Fractional Laplacian in conformal geometry
Local well-posedness and blow-up in the energy space for a class of $L^2$ critical dispersion generalized Benjamin-Ono equations
A one-dimensional model for dispersive wave turbulence
The Pohozaev identity for the fractional Laplacian
Mountain pass solutions for non-local elliptic operators
The concentration-compactness principle in the calculus of variations. The locally compact case. I
Multi-bump bound states of Schrödinger equations with a critical frequency
Nonlocal models for nonlinear, dispersive waves
The concentration-compactness principle in the calculus of variations. The locally compact case. II
Infinitely many solutions for the prescribed scalar curvature problem on $\mathbb S^N$
Uniqueness of positive solutions of $\Delta u-u+u^ p=0$ in $R^ n$
Uniqueness and related analytic properties for the Benjamin-Ono equation -- A nonlinear Neumann problem in the plane
Infinitely many bound states for some nonlinear scalar field equations
On the existence of positive entire solutions of a semilinear elliptic equation
Local mountain passes for semilinear elliptic problems in unbounded domains
Concentrating standing waves for the fractional nonlinear Schrödinger equation
Infinitely many positive solutions for the nonlinear Schrödinger equations in $\mathbb R^N$
Nodal and multiple solutions of nonlinear problems involving the fractional Laplacian
Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
From the long jump random walk to the fractional Laplacian
Mean field dynamics of boson stars
The Effect of the Domain Geometry in Singular Perturbation Problems
On Positive Multipeak Solutions of a Nonlinear Elliptic Problem
Existence of Multi-bump Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations
Infinitely Many Positive Solutions to Some Scalar Field Equations with Nonsymmetric Coefficients
$\Gamma$-Limit of a Phase-Field Model of Dislocations
An Extension Problem Related to the Fractional Laplacian
Blowup for nonlinear wave equations describing boson stars
The Brezis-Nirenberg result for the fractional Laplacian
On interacting bumps of semi-classical states of nonlinear Schrödinger equations.

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