CodiceQDD 142
TitoloUniform Holder bounds for strongly competing systems involving the square root of the laplacian
Autore/iTerracini, S.; Verzini, G.; Zilio, A.
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AbstractFor 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.