A note on sign-changing solutions for the Schrödinger Poisson system

DOI10.3934/ERA.2020013zbMath1448.35165OpenAlexW3009441572MaRDI QIDQ2202477

Hui Guo, Tao Wang

Publication date: 18 September 2020

Published in: Electronic Research Archive (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/era.2020013

zbMATH Keywords

variational methodsSchrödinger-Poisson systeminfinitely many sign-changing solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) 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 (6)

Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Ground state sign-changing solutions for a Schrödinger-Poisson system with steep potential Well and critical growth ⋮ Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system with super 2-linear growth at infinity ⋮ Nodal solutions for the Schrödinger–Poisson system with an asymptotically cubic term ⋮ Sharp condition of global well-posedness for inhomogeneous nonlinear Schrödinger equation ⋮ Ground state sign-changing solution for Schrödinger-Poisson system with steep potential well

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• ON NODAL SOLUTIONS OF THE NONLINEAR SCHRÖDINGER–POISSON EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations

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