On a class of quasilinear schrödinger equations

被引：0
|
作者：
Ji Shu
Jian Zhang
机构：
[1] Sichuan Normal University,Key Laboratory of Computer Software
[2] Sichuan Normal University,College of Mathematics and Software Science
来源：
Applied Mathematics and Mechanics | 2007年 / 28卷
关键词：
quasilinear Schrödinger equations; blowup; global existence; ground state; Bose-Einstein condensates; O175.27; 35Q55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A type of quasilinear Schrödinger equations in two space dimensions which describe attractive Bose-Einstein condensates in physics is discussed. By establishing the property of the equation and applying the energy method, the blowup of solutions to the equation are proved under certain conditions. At the same time, by the variational method, a sufficient condition of global existence which is related to the ground state of a classical elliptic equation is obtained.
引用
收藏
页码：981 / 986
页数：5
相关论文
共 50 条
12345