Solitary Waves in Abelian Gauge Theories-Reference-Cited by-同舟云学术

Solitary Waves in Abelian Gauge Theories

Published:2008-05-01 Issue:2 Volume:8 Page:327-352
ISSN:2169-0375
Container-title:Advanced Nonlinear Studies
language:en
Short-container-title:

Author:

Benci Vieri¹,Fortunato Donato²

Affiliation:

1. Dipartimento di Matematica Applicata ‘‘U. Dini’’ Universitá degli Studi di Pisa Via Filippo Buonarroti 1/c, 56126 Pisa, Italy

2. Dipartimento di Matematica Universitá di Bari and INFN section of Bari Via Orabona 4, 70125 Bari, Italy

Abstract

Abstract Abelian gauge theories consist of a class of field equations which provide a model for the interaction between matter and electromagnetic fields. In this paper we analyze the existence of solitary waves for these theories. We assume that the lower order term W is positive and we prove the existence of solitary waves if the coupling between matter and electromagnetic field is small. We point out that the positiveness assumption on W implies that the energy is positive: this fact makes these theories more suitable to model physical phenomena.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ans-2008-0206/pdf

Reference11 articles.

1. Nonlinear scalar field equations Existence of a ground state;Berestycki;Arch Rat Mech Anal,1983

2. Existence of solitary waves in higher dimensions Metodi Variazionali nei Sistemi Klein Maxwell e Schro dinger - Maxwell The - sis University of Bari;Strauss;Comm Math Phys,1977

3. Comments on nonlinear wave equations as model for elementary parti - cles;Derrick;Math Phys,1964

4. Non - existence results for the coupled Klein equations Advanced Nonlinear;Aprile;Studies,2004

5. Existence of Vortices in Abelian gauge theories of;Benci;Journal Mathematics,2006

Cited by 12 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the existence of solutions for nonlinear Schrödinger-Poisson system;Journal of Mathematical Analysis and Applications;2024-03

2. Schrödinger-Poisson systems in $4$-dimensional closed manifolds;Discrete and Continuous Dynamical Systems;2015-09

3. Multiple solutions for nonhomogeneous Klein–Gordon–Maxwell equations on R3;Nonlinear Analysis: Real World Applications;2015-04

4. On perturbation of a functional with the mountain pass geometry;Calculus of Variations and Partial Differential Equations;2013-02-08

5. Solitary Waves and Vortices in Non-Abelian Gauge Theories with Matter;Advanced Nonlinear Studies;2012-11-01