Asymptotic profile of ground states for the Schrödinger-Poisson-Slater equation
From MaRDI portal
Publication:2078593
DOI10.1016/j.na.2021.112778zbMath1485.35204arXiv2201.00860OpenAlexW4207062087MaRDI QIDQ2078593
Publication date: 1 March 2022
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2201.00860
asymptotic behaviorground state solutionSchrödinger-Poisson-Slater equationnonlocal semilinear elliptic equation
Asymptotic behavior of solutions to PDEs (35B40) Variational methods applied to PDEs (35A15) Semilinear elliptic equations (35J61)
Related Items
Existence and concentration behavior of positive solutions to Schrödinger-Poisson-Slater equations, Existence of nontrivial distributional solutions for a class of Schrödinger-Poisson system with Sobolev critical nonlinearity and zero mass
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency
- Schrödinger-Poisson system with steep potential well
- On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On Schrödinger-Poisson systems
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Existence and multiplicity of positive solutions to Schrödinger-Poisson type systems with critical nonlocal term
- Existence and nonexistence of positive solutions for a static Schrödinger-Poisson-Slater equation
- Solutions of Hartree-Fock equations for Coulomb systems
- On the Schrödinger-Poisson system with indefinite potential and 3-sublinear nonlinearity
- On a class of nonlinear Schrödinger-Poisson systems involving a nonradial charge density
- Asymptotic properties of ground states of scalar field equations with a vanishing parameter
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- Bound state nodal solutions for the non-autonomous Schrödinger-Poisson system in \(\mathbb{R}^3\)
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Positive bound state solutions for some Schrödinger–Poisson systems
- Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations
- EXISTENCE OF STEADY STATES FOR THE MAXWELL–SCHRÖDINGER–POISSON SYSTEM: EXPLORING THE APPLICABILITY OF THE CONCENTRATION–COMPACTNESS PRINCIPLE
- On an Exchange Interaction Model for Quantum Transport: The Schrödinger–Poisson–Slater System
- GROUND AND BOUND STATES FOR A STATIC SCHRÖDINGER–POISSON–SLATER PROBLEM
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation