Solitons in Schrodinger-Maxwell equations

被引：23
|
作者：
Benci, Vieri [1 ]
Fortunato, Donato [2 ,3 ]
机构：
[1] Univ Pisa, Dipartimento Matemat, I-56100 Pisa, Italy
[2] Univ Bari Aldo Moro, Dipartimento Matemat, Bari, Italy
[3] Ist Nazl Fis Nucl, Sez Bari, I-70126 Bari, Italy
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2014年 / 15卷 / 01期
关键词：
Maxwell equations; nonlinear Schrodinger equation; solitary waves; hylomorphic solitons; variational methods; MULTIPLE SOLITARY WAVES; STANDING WAVES; BOUND-STATES; SEMICLASSICAL STATES; HYLOMORPHIC SOLITONS; STABILITY THEORY; EXISTENCE; SYSTEM;
D O I：
10.1007/s11784-014-0184-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the nonlinear Schrodinger-Maxwell equations (NSM). We are interested in analyzing the existence of solitons, namely the existence of finite energy solutions which exhibit stability properties. This paper is divided into two parts. In the first part, we give an abstract definition of solitons and we develop an abstract existence theory. In the second, we apply this theory to NSM.
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页码：101 / 132
页数：32
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