Existence and uniqueness of multi-bump solutions for nonlinear Schrödinger-Poisson systems
From MaRDI portal
Publication:1983648
DOI10.1515/ans-2021-2135zbMath1473.35207OpenAlexW3192230646MaRDI QIDQ1983648
Publication date: 10 September 2021
Published in: Advanced Nonlinear Studies (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/ans-2021-2135
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for higher-order elliptic equations (35J35) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (4)
Uniqueness of positive bound states with multiple bumps for Schrödinger-Poisson system ⋮ Solutions of a quasilinear Schrödinger-Poisson system with linearly bounded nonlinearities ⋮ Infinitely many solutions for the nonlinear Schrödinger-Poisson system ⋮ Local uniqueness of multi-bump solutions for singularly perturbed Kirchhoff problems
Cites Work
- Unnamed Item
- Existence and concentration of positive solutions for semilinear Schrödinger-Poisson systems in \({\mathbb{R}^{3}}\)
- Cluster solutions for the Schrödinger-Poisson-Slater problem around a local minimum of the potential
- Multi-bump bound states of Schrödinger equations with a critical frequency
- Multiplicity of positive solutions for a nonlinear Schrödinger-Poisson system
- On the prescribed scalar curvature problem in \(\mathbb{R}^N\), local uniqueness and periodicity
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- On the existence of solutions for the Schrödinger-Poisson equations
- On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
- Symmetry and related properties via the maximum principle
- The Thomas-Fermi-von Weizsäcker theory of atoms and molecules
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Multi-peak bound states for nonlinear Schrödinger equations
- Standing waves with a critical frequency for nonlinear Schrödinger equations. II.
- Standing waves with a critical frequency for nonlinear Schrödinger equations
- Uniqueness of positive multi-lump bound states of nonlinear Schrödinger equations
- Semi-classical solutions for Schrödinger-Poisson equations with a critical frequency
- Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential
- Solutions of Hartree-Fock equations for Coulomb systems
- On the number of single-peak solutions of the nonlinear Schrödinger equation.
- Multi-bump standing waves with a critical frequency for nonlinear Schrödinger equations
- Multiplicity and concentration of positive solutions for the Schrödinger-Poisson equations
- A singularly perturbed Kirchhoff problem revisited
- Multiplicity of concentrating positive solutions for Schrödinger-Poisson equations with critical growth
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Existence and concentration of ground states for Schrödinger-Poisson equations with critical growth
- Uniqueness of solutions of mean field equations in 𝑅²
- On Concentration of Positive Bound States for the Schrödinger-Poisson Problem with Potentials
- Uniqueness of standing waves for nonlinear Schrödinger equations
- Elliptic Partial Differential Equations of Second Order
- Thomas-fermi and related theories of atoms and molecules
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
- Existence of Multi-bump Standing Waves with a Critical Frequency for Nonlinear Schrödinger Equations
- Existence of multi-bumb solutions for nonlinear schrödinger equations via variational method
- Multibump solutions for nonlinear Schrödinger‐Poisson systems
- SOLUTIONS OF THE SCHRÖDINGER–POISSON PROBLEM CONCENTRATING ON SPHERES, PART II: EXISTENCE
- On Bound States Concentrating on Spheres for the Maxwell--Schrödinger Equation
- Uniqueness of positive bound states with multi-bump for nonlinear Schrödinger equations
- A Sharp Inequality on the Exponentiation of Functions on the Sphere
This page was built for publication: Existence and uniqueness of multi-bump solutions for nonlinear Schrödinger-Poisson systems
