A Note on Non-radial Sign-changing Solutions for the Schrödinger–Poisson Problem in the Semiclassical Limit

DOI10.1007/978-3-0348-0373-1_8zbMath1283.35034OpenAlexW4236905502MaRDI QIDQ5396570

Giusi Vaira

Publication date: 31 January 2014

Published in: Concentration Analysis and Applications to PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-0348-0373-1_8

zbMATH Keywords

variational methodsLyapunov-Schmidt reductionsemiclassical limitsign-changing solutionscluster solutionsSchrödinger-Poisson problem

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) NLS equations (nonlinear Schrödinger equations) (35Q55) PDEs in connection with quantum mechanics (35Q40) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)

Related Items (4)

Infinitely many sign-changing solutions for the nonlinear Schrödinger-Poisson system ⋮ Localized nodal solutions of higher topological type for nonlinear Schrödinger-Poisson system ⋮ Sign-changing solutions for nonlinear Schrödinger-Poisson systems with subquadratic or quadratic growth at infinity ⋮ Existence of multi-bump solutions for the fractional Schrödinger-Poisson system

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