Existence of hylomorphic solitary waves in Klein-Gordon and in Klein-Gordon-Maxwell equations

DOI10.4171/RLM/546zbMath1194.35343arXiv0903.3508MaRDI QIDQ1030950

Donato Fortunato, Vieri Benci

Publication date: 27 October 2009

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0903.3508

zbMATH Keywords

vorticeshylomorphic solitonsAbelian gauge theories\(Q\)-balls

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Electromagnetic interaction; quantum electrodynamics (81V10) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton solutions (35C08) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (13)

A proposed model in which solitons exhibit electron and proton-like behavior ⋮ Hylomorphic solitons and charged Q-balls: existence and stability ⋮ Hylomorphic solitons ⋮ Hamiltonian formulation of the Klein-Gordon-Maxwell equations ⋮ A minimization method and applications to the study of solitons ⋮ The role of the scalar curvature in some singularly perturbed coupled elliptic systems on Riemannian manifolds ⋮ Concentration and compactness in nonlinear Schrödinger-Poisson system with a general nonlinearity ⋮ On the Schrödinger-Maxwell equations under the effect of a general nonlinear term ⋮ Spinning Q-balls for the Klein-Gordon-Maxwell equations ⋮ Existence of solitary wave solutions for the nonlinear Klein-Gordon equation coupled with Born-Infeld theory with critical Sobolev exponent ⋮ Solitary waves in Abelian gauge theories with strongly nonlinear potentials ⋮ Klein-Gordon-Maxwell equations in high dimensions ⋮ Spinning Q-balls in abelian gauge theories with positive potentials: existence and non existence

Cites Work

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• Nonlinear scalar field equations. I: Existence of a ground state
• Stable standing waves of nonlinear Klein-Gordon equations
• Hylomorphic solitons in the nonlinear Klein-Gordon equation
• Existence of 3D-vortices in abelian gauge theories
• Solitary waves in the nolinear wave equation and in gauge theories
• Three-dimensional vortices in Abelian gauge theories
• Magneto-static vortices in two-dimensional Abelian gauge theories
• Existence of solitary waves in higher dimensions
• A sharp Trudinger-Moser type inequality for unbounded domains in \(\mathbb R^2\)
• 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
• A nonlinear elliptic equation with singular potential and applications to nonlinear field equations
• Solitary Waves in Abelian Gauge Theories
• Nonlinear Schrödinger equations with strongly singular potentials
• Solitary Waves with Non-Vanishing Angular Momentum
• SOLITARY WAVES OF THE NONLINEAR KLEIN-GORDON EQUATION COUPLED WITH THE MAXWELL EQUATIONS
• Solitary waves for nonlinear Klein–Gordon–Maxwell and Schrödinger–Maxwell equations
• Solitons for the Nonlinear Klein-Gordon Equation

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