Nonexistence of least energy nodal solutions for Schrödinger-Poisson equation
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Publication:518491
DOI10.1016/j.aml.2016.12.016zbMath1364.35334OpenAlexW2579595509MaRDI QIDQ518491
Publication date: 28 March 2017
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2016.12.016
Variational methods applied to PDEs (35A15) NLS equations (nonlinear Schrödinger equations) (35Q55) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01)
Related Items (11)
Multiple positive solutions for the Schrödinger-Poisson equation with critical growth ⋮ Ground state solution for a Schrödinger-Poisson equation with critical growth ⋮ Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Saddle solutions for the Choquard equation with a general nonlinearity ⋮ Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with super 2-linear growth at infinity ⋮ A note on sign-changing solutions for the Schrödinger Poisson system ⋮ Nodal solutions of a nonlocal Choquard equation in a bounded domain ⋮ Infinitely many solutions for the nonlinear Schrödinger-Poisson system with broken symmetry ⋮ Ground state and nodal solutions for a Schrödinger-Poisson equation with critical growth ⋮ Nodal solutions for the Schrödinger-Poisson equations with convolution terms ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with a 3-linear growth nonlinearity
Cites Work
- Nodal solutions for the Choquard equation
- Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
- Sign-changing radial solutions for the Schrödinger-Poisson-Slater problem
- Energy bounds for entire nodal solutions of autonomous superlinear equations
- Ground state solutions for the nonlinear Schrödinger-Maxwell equations
- An eigenvalue problem for the Schrödinger-Maxwell equations
- Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
- Existence of least energy nodal solution for a Schrödinger-Poisson system in bounded domains
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
- SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE
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