Solitary waves for Schrodinger-Choquard equation

被引:0
作者
Kostadinov, Boyan [1 ]
Tarulli, Mirko [2 ,3 ]
Venkov, George [2 ]
机构
[1] Tech Univ Sofia, Fac Appl Math & Informat, 8 Kliment Ohridski Blvd, Sofia 1000, Bulgaria
[2] Tech Univ Sofia, Fac Appl Math & Informat, Kliment Ohridski Blvd 8, Sofia 1000, Bulgaria
[3] IMI BAS, Acad Georgi Bonchev Str,Block 8, Sofia 1113, Bulgaria
来源
PROCEEDINGS OF THE 44TH INTERNATIONAL CONFERENCE "APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS" | 2018年 / 2048卷
关键词
STANDING WAVES; EXISTENCE; DYNAMICS;
D O I
10.1063/1.5082095
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, by variational methods and the profile decomposition of bounded sequences in H-1, we study the existence of solitary waves for the Schrodinger-Choquard equation with an L-2-critical nonlinearity.
引用
收藏
页数:9
相关论文
共 17 条
[1]   Soliton dynamics for the generalized Choquard equation [J].
Bonanno, Claudio ;
d'Avenia, Pietro ;
Ghimenti, Marco ;
Squassina, Marco .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 417 (01) :180-199
[2]   Minimal blow-up solutions of mass-critical inhomogeneous Hartree equation [J].
Cao, Daomin ;
Su, Yiming .
JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (12)
[3]   ORBITAL STABILITY OF STANDING WAVES FOR SOME NON-LINEAR SCHRODING EQUATIONS [J].
CAZENAVE, T ;
LIONS, PL .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1982, 85 (04) :549-561
[4]  
Cazenave T, 2003, Semilinear Schrodinger Equations
[5]   Strong instability of standing waves for a nonlocal Schrodinger equation [J].
Chen, Jianqing ;
Guo, Boling .
PHYSICA D-NONLINEAR PHENOMENA, 2007, 227 (02) :142-148
[6]   SOLITON DYNAMICS FOR THE SCHRODINGER-NEWTON SYSTEM [J].
D'Avenia, Pietro ;
Squassina, Marco .
MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2014, 24 (03) :553-572
[7]  
Feng B., 2017, BOUND VALUE PROBL, V129, P1
[8]   ON THE CAUCHY PROBLEM FOR THE SCHRODINGER-HARTREE EQUATION [J].
Feng, Binhua ;
Yuan, Xiangxia .
EVOLUTION EQUATIONS AND CONTROL THEORY, 2015, 4 (04) :431-445
[9]   SOLITON AND BLOW-UP SOLUTIONS TO THE TIME-DEPENDENT SCHRODINGER-HARTREE EQUATION [J].
Genev, Hristo ;
Venkov, George .
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2012, 5 (05) :903-923
[10]   Some properties of Coulomb energy space [J].
Genev, Hristo ;
Venkov, George .
APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE '12), 2012, 1497 :290-297