Vortex ground states for Klein-Gordon-Maxwell-Proca type systems

DOI10.1063/1.4982038zbMath1414.35220arXiv1603.04649OpenAlexW3105723422MaRDI QIDQ2981019

Jarosław Mederski, Alessio Pomponio, Pietro D'Avenia

Publication date: 8 May 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.04649

zbMATH Keywords

elliptic systemsvortex solutionsground statesKlein-Gordon-Maxwell-Proca systemKlein-Gordon-Maxwell system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Second-order elliptic systems (35J47)

Related Items (4)

Schrödinger–Poisson–Proca systems in EMS regime ⋮ Standing waves for nonautonomous Klein-Gordon-Maxwell systems ⋮ Klein-Gordon-Maxwell-Proca type systems in the electro-magneto-static case: the high dimensional case ⋮ Strong convergence of the Bopp-Podolsky-Schrödinger-Proca system to the Schrödinger-Poisson-Proca system in the electro-magneto-static case

Cites Work

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• Static Klein-Gordon-Maxwell-Proca systems in 4-dimensional closed manifolds. II
• On the electrostatic Born-Infeld equation with extended charges
• Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems
• Ground-state solutions for the electrostatic nonlinear Klein-Gordon-Maxwell system
• Solitary waves for nonlinear Klein-Gordon equations coupled with Born-Infeld theory
• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• Spinning Q-balls for the Klein-Gordon-Maxwell equations
• Three-dimensional vortices in Abelian gauge theories
• Magneto-static vortices in two-dimensional Abelian gauge theories
• Ground state solutions for some indefinite variational problems
• Geometry, particles, and fields
• Minimax theorems
• Resonant states for the static Klein-Gordon-Maxwell-Proca system
• Ground state solutions for the nonlinear Klein-Gordon-Maxwell equations
• Spinning Q-balls in abelian gauge theories with positive potentials: existence and non existence
• The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds
• Klein-Gordon-Maxwell systems in a bounded domain
• Semiclassical states for a static supercritical Klein–Gordon–Maxwell–Proca system on a closed Riemannian manifold
• Static Klein–Gordon–Maxwell–Proca systems in 4-dimensional closed manifolds
• Improved estimates and a limit case for the electrostatic Klein–Gordon–Maxwell system
• Topology, Geometry and Gauge fields
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Variational Methods in Nonlinear Field Equations
• Particules libres photons et particules « charge pure »
• Théorie non relativiste des particules à spin entier
• Topology, geometry, and gauge fields. Interactions

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