A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case

DOI10.1016/J.JMAA.2021.125326zbMath1471.35122arXiv2011.09793OpenAlexW3160729122MaRDI QIDQ2041716

Zhisu Liu, Gaetano Siciliano

Publication date: 23 July 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.09793

zbMATH Keywords

variational methodsperturbation approachexistence and multiplicity of solutionsSchrödinger-Born-Infeld system

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47)

Related Items (6)

A perturbation approach to studying sign-changing solutions of Kirchhoff equations with a general nonlinearity ⋮ Existence and asymptotic behavior of solutions for a Schrödinger-Born-Infeld system in \(\mathbb{R}^3\) with a general nonlinearity ⋮ Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity ⋮ Multiple solutions for a nonhomogeneous Schrödinger-Born-Infeld system ⋮ Existence and asymptotic behavior of solutions for the Schrödinger-Born-Infeld system with steep potential well ⋮ Existence and multiplicity of bound state solutions to a Kirchhoff type equation with a general nonlinearity

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