The fibering method approach for a non-linear Schrödinger equation coupled with the electromagnetic field

DOI10.5565/PUBLMAT6422001zbMath1448.35171arXiv1806.05260OpenAlexW3040357495WikidataQ122113094 ScholiaQ122113094MaRDI QIDQ2192679

Gaetano Siciliano, Kaye O. Silva

Publication date: 17 August 2020

Published in: Publicacions Matemàtiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.05260

zbMATH Keywords

variational methodsNehari manifoldSchrödinger-Poisson systemfibering methods

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

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Cites Work

• An eigenvalue problem for the Schrödinger-Maxwell equations
• Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity
• On extreme values of Nehari manifold method via nonlinear Rayleigh's quotient
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Nonlinear Schrödinger equation in the Bopp-Podolsky electrodynamics: solutions in the electrostatic case
• On branches of positive solutions for 𝑝-Laplacian problems at the extreme value of the Nehari manifold method
• Unnamed Item

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