Sign-changing solutions for Schrödinger-Poisson system with \(p\)-Laplacian in \(\mathbb{R}^3\)

DOI10.1016/j.aml.2022.108535zbMath1506.35057OpenAlexW4311351174MaRDI QIDQ2678355

Chun-Lei Tang, Xiao-Ping Chen

Publication date: 23 January 2023

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108535

zbMATH Keywords

existence\(p\)-Laplaciansign-changing solutionsSchrödinger-Poisson system

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

• Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system
• On a superlinear elliptic \(p\)-Laplacian equation.
• Multiple mixed states of nodal solutions for nonlinear Schrödinger systems
• Sign-changing solutions for the nonlinear Schrödinger-Poisson system in \(\mathbb {R}^3\)
• Critical exponents of weighted Sobolev embeddings for radial functions
• The Schrödinger-Poisson system with \(p\)-Laplacian
• The Schrödinger-Poisson equation under the effect of a nonlinear local term

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