27 citations · 173 across the 52 of their papers we have counts for
9 papers · 2 filters
Homogenization for nonlocal evolution problems with three different smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization of the evolution problem associated with a jump process that involves three different smooth kernels that govern the jumps to/from diff…
Fractional convexity
Leandro M. Del Pezzo, Alexander Quaas, Julio D. Rossi
We introduce a notion of fractional convexity that extends naturally the usual notion of convexity in the Euclidean space to a fractional setting. With this notion of fractional co…
A Nonlinear Mean Value Property for Monge-Ampère
Pablo Blanc, Fernando Charro, Juan J. Manfredi +1
In recent years there has been an increasing interest in whether a mean value property, known to characterize harmonic functions, can be extended in some weak form to solutions of…
Quasiconvex functions on regular trees
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
We introduce a definition of a quasiconvex function on an infinite directed regular tree that depends on what we understood by a segment on the tree. Our definition is based on thi…
Homogenization for nonlocal problems with smooth kernels
Monia Capanna, Jean C. Nakasato, Marcone C. Pereira +1
In this paper we consider the homogenization problem for a nonlocal equation that involve different smooth kernels. We assume that the spacial domain is divided into a sequence of…
Asymptotic behaviour for local and nonlocal evolution equations on metric graphs with some edges of infinite length
Liviu I. Ignat, Julio D. Rossi, Angel San Antolin
We study local (the heat equation) and nonlocal (convolution type problems with an integrable kernel) evolution problems on a metric connected finite graph in which some of the edg…