Concentration of bound states for fractional Schrödinger-Poisson system via penalization methods
From MaRDI portal
Publication:2128870
DOI10.3934/cpaa.2022014zbMath1492.35031arXiv1710.03495OpenAlexW2975470658MaRDI QIDQ2128870
Publication date: 22 April 2022
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.03495
Stability in context of PDEs (35B35) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
Related Items (2)
Concentration behaviour of normalized ground states of the mass critical fractional Schrödinger equations with ring-shaped potentials ⋮ Properties of the minimizers for a constrained minimization problem arising in fractional NLS system
Cites Work
- Unnamed Item
- Nonlocal diffusion and applications
- Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Existence and concentration result for the fractional Schrödinger equations with critical nonlinearities
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Fractional Laplacian in conformal geometry
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
- Multiplicity and concentration of nontrivial solutions for fractional Schrödinger-Poisson system involving critical growth
- Positive semiclassical states for a fractional Schrödinger-Poisson system.
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Standing waves for nonlinear Schrödinger equations with a general nonlinearity
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- Regularity of the obstacle problem for a fractional power of the laplace operator
- On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
- Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
- Existence and concentration of positive ground state solutions for nonlinear fractional Schrödinger‐Poisson system with critical growth
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
- Financial Modelling with Jump Processes
- Ground state solutions for the non-linear fractional Schrödinger–Poisson system
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- An Extension Problem Related to the Fractional Laplacian
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
This page was built for publication: Concentration of bound states for fractional Schrödinger-Poisson system via penalization methods