Exploració per autor "Cozzi, Matteo"
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A fractional Michael–Simon Sobolev inequality on convex hypersurfaces
Cabré Vilagut, Xavier; Cozzi, Matteo; Csató, Gyula (Elsevier, 2023-01-01)
Capítol de llibre / Carta nàutica
Accés obertThe classical Michael–Simon and Allard inequality is a Sobolev inequality for functions defined on a submanifold of Euclidean space. It is governed by a universal constant independent of the manifold, thanks to an additional ... -
A gradient estimate for nonlocal minimal graphs
Cabré Vilagut, Xavier; Cozzi, Matteo (2019-04-01)
Article
Accés obertWe 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
Accés obertWe 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
Accés obertThis 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
Accés obertWe 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, ...