Normalized solutions for a system of coupled cubic Schrödinger equations on

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• 作者：Thomas Bartsch^a ; ^{Thomas.Bartsch@math.uni-giessen.de" class="auth_mail" title="E-mail the corresponding author} ; Louis Jeanjean^b ; ^{louis.jeanjean@univ-fcomte.fr" class="auth_mail" title="E-mail the corresponding author} ; Nicola Soave^a ; ^{Nicola.Soave@math.uni-giessen.de" class="auth_mail" title="E-mail the corresponding author} ; ^{nicola.soave@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 35J50 ; secondary ; 35J15 ; 35J60
• 刊名：Journal de mathematiques pures et appliquees
• 出版年：2016
• 出版时间：October 2016
• 年：2016
• 卷：106
• 期：4
• 页码：583-614
• 全文大小：613 K

文摘

We consider the system of coupled elliptic equations and study the existence of positive solutions satisfying the additional condition Assuming that a₁,a₂,μ₁,μ₂$a_1,a_2,{\mu }_1,{\mu }_2$ are positive fixed quantities, we prove existence results for different ranges of the coupling parameter β>0$\beta >0$. The extension to systems with an arbitrary number of components is discussed, as well as the orbital stability of the corresponding standing waves for the related Schrödinger systems.