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- W1915675073 abstract "We focus on the study of ground-states for the system of $M$ coupled semilinear Schrodinger equations with power-type nonlinearities and couplings. General results regarding existence and characterization are derived using a variational approach. We show the usefulness of such a characterization in several particular cases, including those for which uniqueness of ground-states is already known. Finally, we apply the results to find the optimal constant for the vector-valued Gagliardo-Nirenberg inequality and we study global existence, $L^2$-concentration phenomena and blowup profile for the evolution system in the $L^2$-critical power case." @default.
- W1915675073 created "2016-06-24" @default.
- W1915675073 creator A5040571139 @default.
- W1915675073 date "2014-10-29" @default.
- W1915675073 modified "2023-09-27" @default.
- W1915675073 title "Characterization of ground-states for a system of $M$ coupled semilinear Schrodinger equations and applications" @default.
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