Existence criteria of ground state solutions for Schrödinger-Poisson systems with a vanishing potential
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Publication:2063990
DOI10.3934/DCDSS.2020339zbMath1481.35166OpenAlexW3016415665MaRDI QIDQ2063990
Sitong Chen, Xian Hua Tang, Wen-nian Huang
Publication date: 3 January 2022
Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdss.2020339
NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Variational methods for second-order elliptic equations (35J20) Second-order elliptic systems (35J47)
Related Items (2)
Ground state solutions for Schrödinger–Poisson system with critical growth and nonperiodic potential ⋮ Groundstates and infinitely many solutions for the Schrödinger-Poisson equation with magnetic field
Cites Work
- Unnamed Item
- On the Schrödinger-Poisson-Slater system: behavior of minimizers, radial and nonradial cases
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- Some nonlinear elliptic problems in unbounded domains
- Ground state solutions for some Schrödinger-Poisson systems with periodic potentials
- 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
- On Schrödinger-Poisson systems
- Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
- 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
- Improved results for Klein-Gordon-Maxwell systems with general nonlinearity
- Nehari type ground state solutions for asymptotically periodic Schrödinger-Poisson systems
- Solutions of Hartree-Fock equations for Coulomb systems
- Minimax theorems
- Semiclassical ground state solutions for critical Schrödinger-Poisson systems with lower perturbations
- On the planar Schrödinger-Poisson system with the axially symmetric potential
- Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials
- Ground state solutions of Nehari-Pohozaev type for Kirchhoff-type problems with general potentials
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Non-Nehari manifold method for asymptotically periodic Schrödinger equations
- Positive solutions for some non-autonomous Schrödinger-Poisson systems
- Positive bound state solutions for some Schrödinger–Poisson systems
- MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
- A ecessary and Sufficient Condition for The Stability of General molecular Systems
- Thomas-fermi and related theories of atoms and molecules
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- Nonlinear Analysis - Theory and Methods
- NON-NEHARI-MANIFOLD METHOD FOR ASYMPTOTICALLY LINEAR SCHRÖDINGER EQUATION
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