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• W2594430879 abstract "We consider the system of coupled elliptic equations [ begin{cases} -Delta u - lambda_1 u = mu_1 u^3+ beta u v^2 -Delta v- lambda_2 v = mu_2 v^3 +beta u^2 v end{cases} text{in $mathbb{R}^3$}, ] and study the existence of positive solutions satisfying the additional condition [ int_{mathbb{R}^3} u^2 = a_1^2 quad text{and} quad int_{mathbb{R}^3} v^2 = a_2^2. ] Assuming that $a_1,a_2,mu_1,mu_2$ are positive fixed quantities, we prove existence results for different ranges of the coupling parameter $beta>0$. 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 Schrodinger systems." @default.
• W2594430879 created "2017-03-16" @default.
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• W2594430879 date "2015-06-07" @default.
• W2594430879 modified "2023-09-27" @default.
• W2594430879 title "Normalized solutions for a system of coupled cubic Schrodinger equations on $mathbb{R}^3$" @default.
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• W2594430879 hasPublicationYear "2015" @default.
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