Now showing items 1-5 of 5

    • 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, ...
    • Pohozaev identities for anisotropic integrodifferential operators 

      Ros Oton, Xavier; Serra Montolí, Joaquim; Valdinoci, Enrico (2017-08-15)
      Article
      Open Access
      We find and prove new Pohozaev identities and integration by parts type formulas for anisotropic integrodifferential operators of order 2s, with s¿(0,1). These identities involve local boundary terms, in which the quantity ...
    • 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 ...