Multiple solutions for a fractional nonlinear Schrödinger equation with local potential
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Publication:2408387
DOI10.3934/cpaa.2017104zbMath1372.35010OpenAlexW2748661431MaRDI QIDQ2408387
Publication date: 12 October 2017
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/cpaa.2017104
multiple solutionsfractional Schrödinger equationLjusternik-Schnirelmann theorypenalization techniquessingle spike solution
Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Boundary value problems for PDEs with pseudodifferential operators (35S15)
Related Items (3)
On a class of nonlocal Schrödinger equations with exponential growth ⋮ Multiplicity and concentration of solutions to a fractional p-Laplace problem with exponential growth ⋮ Multiplicity and concentration of solutions to a fractional \((p,p_1)\)-Laplace problem with exponential growth
Cites Work
- Unnamed Item
- Unnamed Item
- Nonlocal diffusion and applications
- A multiplicity result via Ljusternick-Schnirelmann category and Morse theory for a fractional Schrödinger equation in \(\mathbb{R}^N\)
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Lewy-Stampacchia type estimates for variational inequalities driven by (non)local operators
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- A critical fractional equation with concave-convex power nonlinearities
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Bifurcation results for a fractional elliptic equation with critical exponent in \(\mathbb {R}^n\)
- Mountain pass solutions for non-local elliptic operators
- The effect of the domain topology on the number of positive solutions of nonlinear elliptic problems
- Fractional quantum mechanics and Lévy path integrals
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Variational methods for non-local operators of elliptic type
- Multiple positive solutions to nonlinear Schrödinger equations with competing potential functions
- Uniqueness and nondegeneracy of positive solutions of \((-\Delta )^su+u= u^p\) in \(\mathbb R^N\) when s is close to 1
- Concentrating solutions of nonlinear fractional Schrödinger equation with potentials
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Bound state for the fractional Schrödinger equation with unbounded potential
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Fractional Elliptic Problems with Critical Growth in the Whole of ℝn
- Multiple Solutions for a Nonlinear Schrödinger Equation with Magnetic Fields
- Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations
- Ground states and concentration phenomena for the fractional Schrödinger equation
- Nonlinear scalar field equations involving the fractional Laplacian
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
- Ground states for fractional Schrödinger equations with critical growth
- On fractional Schr$\ddot{\mbox{o}}$ödinger equation in $\mathbb {R}^{N}$RN with critical growth
- An Extension Problem Related to the Fractional Laplacian
- The Brezis-Nirenberg result for the fractional Laplacian
- Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions
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