Existence and asymptotic behavior of solutions for a Schrödinger-Born-Infeld system in \(\mathbb{R}^3\) with a general nonlinearity

DOI10.1016/j.jmaa.2022.126555zbMath1498.35227OpenAlexW4287448528MaRDI QIDQ2674881

Leiga Zhao, Chongqing Wei, Anran Li

Publication date: 14 September 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2022.126555

zbMATH Keywords

existenceasymptotic behaviorSchrödinger-Born-Infeld system

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Second-order elliptic systems (35J47) Quasilinear elliptic equations (35J62)

Related Items (1)

Existence and asymptotic behavior of solutions for the Schrödinger-Born-Infeld system with steep potential well

Cites Work

• Unnamed Item
• On the electrostatic Born-Infeld equation with extended charges
• Existence of a positive solution to Kirchhoff-type problems without compactness conditions
• Nonlinear scalar field equations. I: Existence of a ground state
• An existence and stability result for standing waves of nonlinear Schrödinger equations
• On the Schrödinger-Maxwell equations under the effect of a general nonlinear term
• Spacelike hypersurfaces with prescribed boundary values and mean curvature
• Maximal space-like hypersurfaces in the Lorentz-Minkowski spaces
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Solitons and the electromagnetic field
• Born-Infeld particles and Dirichlet \(p\)-branes
• Local conditions insuring bifurcation from the continuous spectrum
• A perturbation approach for the Schrödinger-Born-Infeld system: solutions in the subcritical and critical case
• On the Schrödinger-Born-Infeld system
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Positive solutions for some non-autonomous Schrödinger-Poisson systems
• On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝ^N
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Variational Methods
• Existence and Stability of Standing Waves For Schrödinger-Poisson-Slater Equation

This page was built for publication: Existence and asymptotic behavior of solutions for a Schrödinger-Born-Infeld system in \(\mathbb{R}^3\) with a general nonlinearity