Single and multi-peak solutions for a nonlinear Maxwell-Schrödinger system with a general nonlinearity

DOI10.1016/j.na.2011.03.063zbMath1218.35085OpenAlexW2040780650MaRDI QIDQ544189

Jinmyoung Seok

Publication date: 14 June 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.03.063

zbMATH Keywords

variational methodsnonlinear Maxwell-Schrödinger equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Schrödinger operator, Schrödinger equation (35J10) Second-order elliptic systems (35J47) Positive solutions to PDEs (35B09) Boundary value problems for second-order elliptic systems (35J57)

Related Items (4)

Multi-peak solutions for a nonlinear Schrödinger-Poisson system including critical growth in \(\mathbb{R}^{3}\) ⋮ Existence and concentration of ground state solutions for doubly critical Schrödinger-Poisson-type systems ⋮ Multiplicity and concentration of nontrivial solutions for fractional Schrödinger-Poisson system involving critical growth ⋮ The existence and concentration of positive solutions for a nonlinear Schrödinger-Poisson system with critical growth

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• High energy solutions for the superlinear Schrödinger-Maxwell equations
• Ground state solutions for the nonlinear Schrödinger-Maxwell equations
• On the existence of solutions for the Schrödinger-Poisson equations
• Multiple semiclassical solutions for the nonlinear Maxwell-Schrödinger system
• An eigenvalue problem for the Schrödinger-Maxwell equations
• Multi-peak standing waves for nonlinear Schrödinger equations with a general nonlinearity
• The Schrödinger-Poisson equation under the effect of a nonlinear local term
• Standing waves for nonlinear Schrödinger equations with a general nonlinearity
• Semiclassical states for the nonlinear Schrödinger equation with the electromagnetic field
• MULTIPLE BOUND STATES FOR THE SCHRÖDINGER–POISSON PROBLEM
• Existence of large positive solutions of some nonlinear elliptic $si:equations on singularly perturbed doamins
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• SEMICLASSICAL STATES FOR COUPLED SCHRÖDINGER–MAXWELL EQUATIONS: CONCENTRATION AROUND A SPHERE

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