Existence and concentration of nontrivial solutions for a fractional magnetic Schrödinger-Poisson type equation
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Publication:5003277
DOI10.2422/2036-2145.201804_022zbMath1469.35015arXiv1808.01925OpenAlexW2961424632MaRDI QIDQ5003277
Publication date: 21 July 2021
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.01925
Pseudodifferential operators as generalizations of partial differential operators (35S05) Singular perturbations in context of PDEs (35B25) Variational methods applied to PDEs (35A15) Fractional partial differential equations (35R11)
Related Items (2)
Ground state solution for a nonlinear fractional magnetic Schrödinger equation with indefinite potential ⋮ Concentration phenomena for fractional magnetic NLS equations
Cites Work
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- Erratum to: Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Kato's inequality for magnetic relativistic Schrödinger operators
- On the existence of solutions for the Schrödinger-Poisson equations
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- On a class of nonlinear Schrödinger equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Fractional quantum mechanics and Lévy path integrals
- Existence and semi-classical limit of the least energy solution to a nonlinear Schrödinger equation with electromagnetic fields
- Multiplicity of positive solutions for a class of fractional Schrödinger equations via penalization method
- Nonlinear fractional magnetic Schrödinger equation: existence and multiplicity
- Fractional NLS equations with magnetic field, critical frequency and critical growth
- Semiclassical stationary states of nonlinear Schrödinger equations with an external magnetic field.
- A semilinear Schrödinger equation in the presence of a magnetic field
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Minimax theorems
- Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
- Multiplicity results for magnetic fractional problems
- Dual variational methods in critical point theory and applications
- A local mountain pass approach for a class of fractional NLS equations with magnetic fields
- Concentrating solutions for a class of nonlinear fractional Schrödinger equations in \(\mathbb{R}^N\)
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Positive semiclassical states for a fractional Schrödinger-Poisson system.
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
- Schrödinger operators with singular potentials
- Existence and concentration of solution for a class of fractional elliptic equation in \(\mathbb {R}^N\) via penalization method
- Bourgain-Brézis-Mironescu formula for magnetic operators
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Overdetermined problems with fractional laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
- Ground states for fractional magnetic operators
- Multiple solutions for Schrödinger-Poisson type equation with magnetic field
- Schrödinger-Poisson equations in R^3 involving critical Sobolev exponents
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Semiclassical states for NLS equations with magnetic potentials having polynomial growths
- Variational Methods for Nonlocal Fractional Problems
- A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
- Multiplicity and concentration of positive solutions for the fractional Schrödinger–Poisson systems with critical growth
- Magnetic Relativistic Schrödinger Operators and Imaginary-time Path Integrals
- Multiplicity and concentration results for a class of critical fractional Schrödinger–Poisson systems via penalization method
- Ground states and concentration phenomena for the fractional Schrödinger equation
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation
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