On a class of quasilinear Schrdinger equations

被引：0

作者：

舒级 ^{[1
]}

张健 ^{[2
]}

机构：

[1] Key Laboratory of Computer Software,Sichuan Normal University

[2] College of Mathematics and Software Science,Sichuan Normal University

来源：

Applied Mathematics and Mechanics(English Edition) | 2007年 / 07期

关键词：

quasilinear Schrdinger equations; blowup; global existence; ground state; Bose-Einstein condensates;

D O I：

暂无

中图分类号：

O175.2 [偏微分方程];

学科分类号：

070104 ;

摘要：

A type of quasilinear Schrdinger 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

页码：981 / 986

页数：6

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