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(School of Mathematics and V.C.V.R Key Lab,Sichuan Normal University,Chengdu 610068,China)

机构地区：[1]School of Mathematics and V.C.V.R Key Lab,Sichuan Normal University,Chengdu 610068,China

出　　处：《Acta Mathematica Scientia》2020年第4期1081-1090,共10页数学物理学报（B辑英文版）

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

摘　　要：In this paper,we give a simpler proof for Ohta’s theorems[1995,Ann.Inst.Henri Poincare,63,111;1995,DifF.Integral Eq.,8,1775]on the strong instability of the ground states for a generalized Davey-Stewartson system.In 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 system.This result shows that the stability result of Ohta[DifF.Integral Eq.,8,1775]is sharp.

关 键 词：Ohta's theorems Storng instability Davey-Stewartson system Standing waves 

分 类 号：O171[理学—数学]