Browsing by Author "Dipierro, Serena"

Now showing items 1-2 of 2

    • Concentration Phenomena for The Nonlocal Schodinger Equation With Dirichlet Datum 
      Dávila Bonczos, Juan; Pino Manresa, Manuel del; Dipierro, Serena; Valdinoci, Enrico (Mathematical Science, 2015)
      For a smooth, bounded domain , s 2 .0; 1/, p 2 .1; .nC2s/=.n􀀀2s// we consider the nonlocal equation "2s.􀀀1/su Cu D u p in with zero Dirichlet datum and a small parameter " >0. We construct a family of solutions that ...
    • Nonlocal Delaunay surfaces 
      Dávila Bonczos, Juan; Pino Manresa, Manuel del; Dipierro, Serena; Valdinoci, Enrico (Elsevier, 2016)
      We construct codimension 1 surfaces of any dimension that minimize a periodic nonlocal perimeter functional among surfaces that are periodic, cylindrically symmetric and decreasing. These surfaces may be seen as a ...