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• W2999934957 abstract "Abstract This paper is concerned with the following nonlinear Schrödinger system in ${mathbb R}^3$ $$left{ {beging{matrix}{ {-Delta u + (1 + alpha P(x))u = mu u^3 + beta uv^2,} hfill & {xin {open R}^3,} hfill cr {-Delta v + (1 + alpha Q(x))u = nu v^3 + beta u^2v,} hfill & {xin {open R}^3,} hfill cr {u,v > 0,} hfill & {xin {open R}^3,} hfill cr } } right.$$ where $beta in {mathbb R}$ is a coupling constant, $mu ,nu $ are positive constants, P , Q are weight functions decaying exponentially to zero at infinity, α can be regarded as a parameter. This type of system arises, in particular, in models in Bose–Einstein condensates theory and Kerr-like photo refractive media. We prove that, for any positive integer k > 1, there exists a suitable range of α such that the above problem has a non-radial positive solution with exactly k maximum points which tend to infinity as $alpha to +infty $ (or $0^+$ ). Moreover, we also construct prescribed number of sign-changing solutions." @default.
• W2999934957 created "2020-01-23" @default.
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• W2999934957 date "2020-01-13" @default.
• W2999934957 modified "2023-09-26" @default.
• W2999934957 title "Many synchronized vector solutions for a Bose–Einstein system" @default.
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• W2999934957 doi "https://doi.org/10.1017/prm.2019.75" @default.
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