Now showing items 1-3 of 3

    • 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 ...
    • The Bernstein technique for integro-differential equations 

      Cabré Vilagut, Xavier; Dipierro, Serena; Valdinoci, Enrico (Springer Nature, 2022-01-25)
      Article
      Open Access
      We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solutions to fractional equations, including ...