| On a class of quasilinear Schrdinger equations |
| |
| 作者单位： | Key Laboratory of Computer Software Sichuan Normal University，College of Mathematics and Software Science，Sichuan Normal University，Chengdu 610066，P.R.China College of Mathematics and Software Science，Sichuan Normal University Chengdu 610066，P.R.China，Chengdu 610066，P.R.China |
| |
| 摘 要： | ![]()
A type of quasilinear Schrdinger 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.
|
| 关 键 词： | quasilinear Schrdinger equations blowup global existence ground state Bose-Einstein condensates |
| 本文献已被 CNKI 等数据库收录！ |
