Energy solutions and concentration problem of fractional Schrödinger equation
From MaRDI portal
Publication:1633731
DOI10.1186/s13661-018-0940-zzbMath1483.35322OpenAlexW2796140104MaRDI QIDQ1633731
Publication date: 20 December 2018
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13661-018-0940-z
fractional Schrödinger equationsconcentration of solutionssublinear perturbationsteep potential wellinfinitely many high or small energy solutions
Variational methods applied to PDEs (35A15) Fractional derivatives and integrals (26A33) Perturbations in context of PDEs (35B20) Fractional partial differential equations (35R11)
Related Items (2)
Infinitely many small energy solutions for fourth-order elliptic equations with \(p\)-Laplacian in \(\mathbb{R}^N\) ⋮ Infinitely many solutions for fractional Schrödinger equation with potential vanishing at infinity
Cites Work
- Unnamed Item
- Unnamed Item
- Multiple solutions of nonlinear Schrödinger equation with the fractional Laplacian
- Nonlocal diffusion and applications
- Existence and symmetry of solutions for critical fractional Schrödinger equations with bounded potentials
- Solutions of nonlinear Schrödinger equation with fractional Laplacian without the Ambrosetti-Rabinowitz condition
- Ground states for fractional Schrödinger equations involving a critical nonlinearity
- Existence and concentration of solutions for the Schrödinger-Poisson equations with steep well potential
- Infinitely many solutions of quasilinear Schrödinger equation with sign-changing potential
- Hitchhiker's guide to the fractional Sobolev spaces
- Multiple solutions for a class of fractional Schrödinger equations in \(\mathbb{R}^N\)
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Infinitely many radial and non-radial solutions for a fractional Schrödinger equation
- Multiplicity and concentration of solutions for fractional Schrödinger equation with sublinear perturbation and steep potential well
- Schrödinger-Poisson system with steep potential well
- Mountain pass solutions for non-local elliptic operators
- Ground state solutions of scalar field fractional Schrödinger equations
- Existence and stability of standing waves for nonlinear fractional Schrödinger equations with Hartree type nonlinearity
- Existence of weak solutions for a fractional Schrödinger equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Fractional quantum mechanics and Lévy path integrals
- Minimax theorems
- Variational methods for non-local operators of elliptic type
- Positive solutions of fractional elliptic equation with critical and singular nonlinearity
- Symmetry results for systems involving fractional Laplacian
- Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Elliptic problems involving the fractional Laplacian in \(\mathbb R^N\)
- Existence and multiplicity of entire solutions for fractional \(p\)-Kirchhoff equations
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Variational Methods for Nonlocal Fractional Problems
- Multiplicity of positive solutions for a class of problems with critical growth in ℝN
- Existence of solutions for fractional Schrodinger equation with asymptotica- lly periodic terms
- Existence and multiplicity results for some superlinear elliptic problems on RN
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground state solutions of asymptotically linear fractional Schrödinger equations
- Positive solutions of a singular fractional boundary value problem with a fractional boundary condition
- Variant fountain theorems and their applications
This page was built for publication: Energy solutions and concentration problem of fractional Schrödinger equation
