On concentration of positive ground states for the asymptotically linear fractional Schrödinger equation
DOI10.1063/1.5025268zbMath1390.35332OpenAlexW2791236845MaRDI QIDQ4607665
Suhong Li, Jiongyue Li, Yu Chen
Publication date: 14 March 2018
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.5025268
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)
Related Items (1)
Cites Work
- Unnamed Item
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Concentrating standing waves for the fractional Schrödinger equation with critical nonlinearities
- Semi-classical states for nonlinear Schrödinger equations
- Semiclassical states of nonlinear Schrödinger equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Fractional quantum mechanics and Lévy path integrals
- Semi-classical states of nonlinear Schrödinger equations: a variational reduction method
- Singularly perturbed elliptic problems with superlinear or asymptotically linear nonlinearities
- Local mountain passes for semilinear elliptic problems in unbounded domains
- Semiclassical solutions of Schrödinger equations with magnetic fields and critical nonlinearities
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Asymptotic behavior of solutions for nonlinear elliptic problems with the fractional Laplacian
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Concentration on curves for nonlinear Schrödinger Equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Ground state solutions for nonlinear fractional Schrödinger equations in $\mathbb {R}^N$RN
This page was built for publication: On concentration of positive ground states for the asymptotically linear fractional Schrödinger equation
