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- W2011025191 abstract "We prove that, for any $lambda in mathbb {R}$, the system $-Delta u +lambda u = u^3-beta uv^2$, $-Delta v+lambda v =v^3-beta vu^2$, $u,vin H^1_0(Omega ),$ where $Omega$ is a bounded smooth domain of $mathbb {R}^3$, admits a bounded family of positive solutions $(u_{beta }, v_{beta })$ as $beta to +infty$. An upper bound on the number of nodal sets of the weak limits of $u_{beta }-v_{beta }$ is also provided. Moreover, for any sufficiently large fixed value of $beta >0$ the system admits infinitely many positive solutions." @default.
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- W2011025191 date "2010-01-12" @default.
- W2011025191 modified "2023-09-27" @default.
- W2011025191 title "Existence and bounds of positive solutions for a nonlinear Schrödinger system" @default.
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- W2011025191 doi "https://doi.org/10.1090/s0002-9939-10-10231-7" @default.
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