Existence and limit behavior of least energy solutions to constrained Schrödinger-Bopp-Podolsky systems in \({\mathbb{R}}^3\)

DOI10.1007/S00033-023-01950-WzbMath1514.35169arXiv2205.10452OpenAlexW4319661697MaRDI QIDQ6102491

Gaetano Siciliano, Gustavo de Paula Ramos

Publication date: 8 May 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.10452

zbMATH Keywords

Schrödinger-Bopp-Podolsky systemexistence of least energy solutions

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Higher-order elliptic systems (35J48)

Related Items (4)

Critical Schrödinger-Bopp-Podolsky system with prescribed mass ⋮ Positive solutions for a non-autonomous Schrödinger-Bopp-Podolsky system ⋮ Unnamed Item ⋮ Unnamed Item

Cites Work

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• On the radiality of constrained minimizers to the Schrödinger-Poisson-Slater energy
• Stable standing waves for a class of nonlinear Schrödinger-Poisson equations
• Scaling properties of functionals and existence of constrained minimizers
• The concentration-compactness principle in the calculus of variations. The locally compact case. I
• Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case

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