Uniform Hölder bounds for nonlinear Schrödinger systems with strong competition

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dc.creatorNoris, Benedetta
dc.creatorTavares, Hugo
dc.creatorTerracini, Susanna
dc.creatorVerzini, Gianmaria
dc.date2008-10-30
dc.date.accessioned2026-07-07T10:14:14Z
dc.date.available2026-07-07T10:14:14Z
dc.descriptionFor the positive solutions of the competitive Gross-Pitaevskii system of two equations, we prove that L^\infty boundedness implies uniform Hölder boundedness as the competition parameter goes to infinity. Moreover we prove that the limiting profile is Lipschitz continuous. The proof relies upon the blow-up technique and the monotonicity formulae by Almgren and Alt-Caffarelli-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 more than two densities are given.
dc.description27 pages
dc.identifierhttps://arxiv.org/abs/0810.5537
dc.identifierhttp://arxiv.org/abs/0810.5537
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172809
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35B40, 35B45, 35J55
dc.titleUniform Hölder bounds for nonlinear Schrödinger systems with strong competition
dc.typetext

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