ON THE INSTA BILITY OF GROUND STATES FOR A GENER ALIZED DAVEY-STEWA RTSON SYSTEM

作     者：Yuanping DENG Xiaoguan LI Qian SHENG 邓圆平;李晓光;沈倩

作者机构：School of Mathematics and V.C.V.R Key LabSichuan Normal UniversityChengdu 610068China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2020年第40卷第4期

页      面：1081-1090页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：the National Natural Science Foundation of China(11771314) 

主　　题：Ohta's theorems Storng instability Davey-Stewartson system Standing waves 

摘      要：In this paper,we give a simpler proof for Ohta’s theorems[1995,*** Poincare,63,111;1995,*** Eq.,8,1775]on the strong instability of the ground states for a generalized Davey-Stewartson *** addition,a sufficient condition is given to ensure the nonexistence of a minimizer for a variational problem,which is related to the stability of the standing waves of the Davey-Stewartson *** result shows that the stability result of Ohta[*** Eq.,8,1775]is sharp.