Nodal solutions for fractional Schrödinger-Poisson problems
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Publication:829087
DOI10.1007/s11425-018-9452-yzbMath1465.35180OpenAlexW2969163204MaRDI QIDQ829087
Jianfu Yang, Weilin Yu, Wei Long
Publication date: 5 May 2021
Published in: Science China. Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11425-018-9452-y
Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Fractional partial differential equations (35R11)
Related Items (5)
Multi-peak solutions to the Schrödinger equations coupled with a neutral scalar field ⋮ Least energy sign-changing solutions of fractional Kirchhoff–Schrödinger–Poisson system with critical and logarithmic nonlinearity ⋮ Least energy sign-changing solutions of fractional Kirchhoff-Schrödinger-Poisson system with critical growth ⋮ Non-degeneracy of multi-peak solutions for the Schrödinger-Poisson problem ⋮ Ground‐state solution of a nonlinear fractional Schrödinger–Poisson system
Cites Work
- Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Uniqueness of non-linear ground states for fractional Laplacians in \(\mathbb{R}\)
- Hitchhiker's guide to the fractional Sobolev spaces
- Concentration phenomenon for fractional nonlinear Schrödinger equations
- Infinitely many positive and sign-changing solutions for nonlinear fractional scalar field equations
- Concentration phenomena for the nonlocal Schrödinger equation with Dirichlet datum
- Infinitely many positive solutions for the fractional Schrödinger-Poisson system
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Nonlocal models for nonlinear, dispersive waves
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- Infinitely many solutions for the prescribed scalar curvature problem on \(\mathbb S^N\)
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Fractional quantum mechanics and Lévy path integrals
- Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
- Concentrating standing waves for the fractional nonlinear Schrödinger equation
- Positive semiclassical states for a fractional Schrödinger-Poisson system.
- The concentration behavior of ground state solutions for a fractional Schrödinger-Poisson system
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Existence of ground state solutions for the nonlinear fractional Schrödinger-Poisson system with critical Sobolev exponent
- Fractional Schrödinger–Poisson Systems with a General Subcritical or Critical Nonlinearity
- Uniqueness of Radial Solutions for the Fractional Laplacian
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- Positive solutions of the nonlinear Schrödinger equation with the fractional Laplacian
- INFINITELY MANY POSITIVE SOLUTIONS FOR THE NONLINEAR SCHRÖDINGER–POISSON SYSTEM
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- On the number of interior peak solutions for a singularly perturbed Neumann problem
- Spectra of Linearized Operators for NLS Solitary Waves
- On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART I: NECESSARY CONDITIONS
- Multiple semiclassical standing waves for fractional nonlinear Schrödinger equations
- Ground states and concentration phenomena for the fractional Schrödinger equation
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
- The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth
- An Extension Problem Related to the Fractional Laplacian
- On interacting bumps of semi-classical states of nonlinear Schrödinger equations.
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