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- W2051287309 abstract "We study the existence of ground states for the coupled Schrodinger system begin{equation} label{ellipticabstract} left{ begin{array}{llll} -Delta u+u&=&|u|^{2q-2}u+b|v|^q|u|^{q-2}u -Delta v+omega^2v&=&|v|^{2q-2}v+b|u|^q|v|^{q-2}v end{array}right. end{equation} in $mathbf{R}^n$, for $omega geq 1$, $b>0$ (the so-called attractive case) and $q>1$ ($q<frac n{n-2}$ if $ngeq 3$). We improve for several ranges of $(q,n,omega)$ the known results concerning the existence of positive ground state solutions with non-trivial components. In particular, we prove that for $1<q<2$ such ground states exist in all dimensions and for all values of $omega$, which constitutes a drastic change of behaviour with respect to the case $qgeq 2$. Furthermore, in the one-dimensional case $n=1$, we improve the results present in the literature for $q>2$." @default.
- W2051287309 created "2016-06-24" @default.
- W2051287309 creator A5060280213 @default.
- W2051287309 date "2015-01-30" @default.
- W2051287309 modified "2023-09-24" @default.
- W2051287309 title "Ground states for a coupled nonlinear Schrodinger system" @default.
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- W2051287309 hasPublicationYear "2015" @default.
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