Singularly perturbed Neumann problem for fractional Schrödinger equations
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Publication:1635852
DOI10.1007/s11425-016-0420-2zbMath1395.35013arXiv1409.4556OpenAlexW2964033560MaRDI QIDQ1635852
Publication date: 1 June 2018
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.4556
Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Semilinear elliptic equations (35J61) Fractional partial differential equations (35R11)
Related Items (4)
Robust nonlocal trace spaces and Neumann problems ⋮ Uniqueness of minimal energy solutions for a semilinear problem involving the fractional Laplacian ⋮ Multiplicity of solutions for a class of fractional elliptic problems with critical exponential growth and nonlocal Neumann condition ⋮ Fractional elliptic problem in exterior domains with nonlocal Neumann condition
Cites Work
- Unnamed Item
- Unnamed Item
- Density estimates for a variational model driven by the Gagliardo norm
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Fractional semilinear Neumann problems arising from a fractional Keller-Segel model
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Nonlocal problems with Neumann boundary conditions
- Boundary fluxes for nonlocal diffusion
- Large amplitude stationary solutions to a chemotaxis system
- Locating the peaks of least-energy solutions to a semilinear Neumann problem
- Censored stable processes
- Multiple interior peak solutions for some singularly perturbed Neumann problems.
- Green function estimate for censored stable processes
- Multiple boundary peak solutions for some singularly perturbed Neumann problems
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- On Neumann and oblique derivatives boundary conditions for nonlocal elliptic equations
- Nonlinear equations for fractional Laplacians. I: Regularity, maximum principles, and Hamiltonian estimates
- How to approximate the heat equation with Neumann boundary conditions by nonlocal diffusion problems
- Local and nonlocal boundary conditions for \(\mu\)-transmission and fractional elliptic pseudodifferential operators
- On Neumann type problems for nonlocal equations set in a half space
- Regularity of the obstacle problem for a fractional power of the laplace operator
- Nonlocal minimal surfaces
- On the Neumann Problem for Some Semilinear Elliptic Equations and Systems of Activator-Inhibitor Type
- On the shape of least‐energy solutions to a semilinear Neumann problem
- On Multiple Mixed Interior and Boundary Peak Solutions for Some Singularly Perturbed Neumann Problems
- Analysis and Approximation of Nonlocal Diffusion Problems with Volume Constraints
- A NONLOCAL VECTOR CALCULUS, NONLOCAL VOLUME-CONSTRAINED PROBLEMS, AND NONLOCAL BALANCE LAWS
- Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations
- Ground states and concentration phenomena for the fractional Schrödinger equation
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