Codice QDD 142 Titolo Uniform Holder bounds for strongly competing systems involving the square root of the laplacian Data 2012-11-30 Autore/i Terracini, S.; Verzini, G.; Zilio, A. Link Download full text Abstract For a class of competition-diffusion nonlinear systems involving the square root of the Laplacian, including the fractional Gross-Pitaevskii 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 Hartree-Fock approximation theory for mixtures of Bose-Einstein condensates in different hyperfine states.