Filters

20141

More filters

20191
Reset filters

Settings

Author: Savin, Ovidiu × Subject: Fractional perimeter ×

Search Results

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    A nonlocal free boundary problem
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Dipierro, Serena; Savin, Ovidiu; Valdinoci, Enrico
    We consider a nonlocal free boundary problem built by a fractional Dirichlet norm plus a fractional perimeter. Among other results, we prove a monotonicity formula for the minimizers, glueing lemmata, uniform energy bounds, convergence results, a regularity theory for the planar cones and a trivialization result for the flat case. Several classical free boundary problems are limit cases of the one that we consider in this paper.