Codice  QDD 142 
Titolo  Uniform Holder bounds for strongly competing systems involving the square root of the laplacian 
Data  20121130 
Autore/i  Terracini, S.; Verzini, G.; Zilio, A. 
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Abstract  For a class of competitiondiffusion nonlinear systems involving the square root of the Laplacian, including the fractional GrossPitaevskii system, we prove that uniform boundedness implies Holder boundedness for every exponent less than 1/2, uniformly as the interspecific competition parameter diverges. Moreover we prove that the limiting profile is Holder continuous of exponent 1/2. This system arises, for instance, in the relativistic HartreeFock approximation theory for mixtures of BoseEinstein condensates in different hyperfine states. 
