Three-dimensional vortices in Abelian gauge theories

DOI10.1016/j.na.2008.10.023zbMath1173.81013arXiv0711.3351OpenAlexW2963018129MaRDI QIDQ1015149

Donato Fortunato, Vieri Benci

Publication date: 7 May 2009

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

Full work available at URL: https://arxiv.org/abs/0711.3351

zbMATH Keywords

solitary wavescritical pointsvortex solutionsKlein-Gordon-Maxwell equationsAbelian gauge theories

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) PDEs in connection with optics and electromagnetic theory (35Q60) Variational methods for elliptic systems (35J50) Yang-Mills and other gauge theories in quantum field theory (81T13) Electromagnetic interaction; quantum electrodynamics (81V10) Minkowski geometries in nonlinear incidence geometry (51B20)

Related Items (11)

Dirichlet and Neumann problems for Klein-Gordon-Maxwell systems ⋮ A minimization method and applications to the study of solitons ⋮ Vortex ground states for Klein-Gordon-Maxwell-Proca type systems ⋮ Vortex solutions in two-dimensional Bose–Einstein condensates with attraction ⋮ Schrödinger-Poisson system with singular potential ⋮ Spinning Q-balls for the Klein-Gordon-Maxwell equations ⋮ Solitary waves in Abelian gauge theories with strongly nonlinear potentials ⋮ Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations ⋮ A refined stability result for standing waves of the Schrödinger–Maxwell system ⋮ Magneto-static vortices in two-dimensional Abelian gauge theories ⋮ Spinning Q-balls in abelian gauge theories with positive potentials: existence and non existence

Cites Work

• Solitary waves in the nolinear wave equation and in gauge theories
• Existence and non-existence of solitary waves for the critical Klein-Gordon equation coupled with Maxwell's equations
• Dual variational methods in critical point theory and applications
• Solitary Waves in Abelian Gauge Theories
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• A compactness lemma
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