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

被引:0
作者
Benci, Vieri [1 ]
Fortunato, Donato [2 ,3 ]
机构
[1] Univ Pisa, Dipartimento Matemat Applicata U Dini, I-56127 Pisa, Italy
[2] Univ Bari, Dipartimento Matemat, I-70125 Bari, Italy
[3] Ist Nazl Fis Nucl, Sez Bari, I-70125 Bari, Italy
关键词
Q-balls; Hylomorphic solitons; vortices; Abelian gauge theories; NONEXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is devoted to the study of solitary waves whose existence is related to the ratio energy/charge. These solitary waves are called hylomorphic. This class includes the Q-balls, which are spherically symmetric solutions of the nonlinear Klein-Gordon equation (NKG), as well as solitary waves and vortices which occur, by the same mechanism, in the nonlinear Schroedinger equation and in gauge theories. It is proved an abstract theorem which allows to show the existence of hylomorphic solitary waves and vortices in the (NKG) and in the nonlinear Klein-Gordon-Maxwell equations (NKGM).
引用
收藏
页码:243 / 279
页数:37
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