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- W2344966415 abstract "For the positive solutions of the Gross-Pitaevskii system {-Δu β + λ β u β = ω 1 u 3 β - βu β v 2 β , -Δv β + μ β v β = ω 2 v 3 β - βu 2 β v β , we prove that L°°-boundedness implies C 0,α -boundedness for every α ∈ (0, 1), uniformly as β → +∞. Moreover, we prove that the limiting profile as β → +∞ is Lipschitz-continuous. The proof relies upon the blowup technique and the monotonicity formulae by Almgren and Alt, Caffarelli, and Friedman. This system arises in the Hartree-Fock approximation theory for binary mixtures of Bose-Einstein condensates in different hyperfine states. Extensions to systems with k > 2 densities are given." @default.
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- W2344966415 date "2008-01-01" @default.
- W2344966415 modified "2023-09-23" @default.
- W2344966415 title "Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition" @default.
- W2344966415 hasPublicationYear "2008" @default.
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