Işık Üniversitesi Kurumsal Akademik Belleği :: DSpace Angular

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Standing waves for a generalized Davey-Stewartson system
(IOP Publishing, 2006-10-27) Eden, Osman Alp; Erbay, Saadet
In this paper, we establish the existence of non-trivial solutions for a semi-linear elliptic partial differential equation with a non-local term. This result allows us to prove the existence of standing wave ( ground state) solutions for a generalized Davey-Stewartson system. A sharp upper bound is also obtained on the size of the initial values for which solutions exist globally.