Codice QDD 150 Titolo Uniform Hölder regularity with small exponent in competition-fractional diffusion systems Data 2013-03-25 Autore/i Terracini, S.; Verzini, G; Zilio, A. Link Download full text Abstract For a class of competition-diffusion nonlinear systems involving fractional powers of the Laplacian, including as a special the fractional Gross-Pitaevskii system, we prove that uniform boundedness implies Hölder boundedness for sufficiently small positive exponents, uniformly as the interspecific competition parameter diverges. This implies strong convergence for the family of solutions as the segregation of their supports occurs.