Exploració per tema "OPERATORS"

Ara es mostren els items 1-3 de 3

    • Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2015-05-01)
      Article
      Accés restringit per política de l'editorial
      We establish an integration by parts formula in bounded domains for the higher order fractional Laplacian (-Delta)(s) with s > 1. We also obtain the Pohozaev identity for this operator. Both identities involve local boundary ...

    • Nonexistence results for nonlocal equations with critical and supercritical nonlinearities 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2015-01-02)
      Article
      Accés obert
      We prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form; [GRAPHICS]; These operators are infinitesimal generators of symmetric Levy processes. Our results ...

    • The extremal solution for the fractional Laplacian 

      Ros Oton, Xavier; Serra Montolí, Joaquim (2014-07-01)
      Article
      Accés restringit per política de l'editorial
      We study the extremal solution for the problem (-¿)su=¿f(u) in O , u=0 in Rn\O , where ¿>0 is a parameter and s¿(0,1) . We extend some well known results for the extremal solution when the operator is the Laplacian to this ...