Now showing items 1-4 of 4

    • A gradient estimate for nonlocal minimal graphs 

      Cabré Vilagut, Xavier; Cozzi, Matteo (2019-04-01)
      Article
      Open Access
      We consider the class of measurable functions defined in all of Rn that give rise to a nonlocal minimal graph over a ball of Rn. We establish that the gradient of any such function is bounded in the interior of the ball ...
    • Nonlocal phase transitions in homogeneous and periodic media 

      Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico (2017-03-01)
      Article
      Open Access
      We discuss some results related to a phase transition model in which the potential energy induced by a double-well function is balanced by a fractional elastic energy. In particular, we present asymptotic results (such as ...
    • Planelike interfaces in long-range ising models and connections with nonlocal minimal surfaces 

      Cozzi, Matteo; Dipierro, Serena; Valdinoci, Enrico (2017-04-07)
      Article
      Open Access
      This paper contains three types of results:the construction of ground state solutions for a long-range Ising model whose interfaces stay at a bounded distance from any given hyperplane,the construction of nonlocal minimal ...
    • Planelike minimizers of nonlocal Ginzburg-Landau energies and fractional perimeters in periodic media 

      Cozzi, Matteo; Valdinoci, Enrico (2018-07-01)
      Article
      Open Access
      We consider here a nonlocal phase transition energy in a periodic medium and we construct solutions whose interfaces lie at a bounded distance from any given hyperplane. These solutions are either periodic or quasiperiodic, ...