4 citations · 4 across the 1 of their papers we have counts for
5 papers
Convex and quasiconvex functions in metric graphs
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
We study convex and quasiconvex functions on a metric graph. Given a set of points in the metric graph, we consider the largest convex function below the prescribed datum. We chara…
Study of the existence of supersolutions for nonlocal equations with gradient terms
Begoña Barrios, Leandro M. Del Pezzo
We study the existence of positive supersolutions of nonlocal equations in exterior domains where the datum can be comparade with near th…
Dirichlet-to-Neumann maps on Trees
Leandro M. Del Pezzo, Nicolás Frevenza, Julio D. Rossi
In this paper we study the Dirichlet-to-Neumann map for solutions to mean value formulas on trees. We give two alternative definition of the Dirichlet-to-Neumann map. For the first…
An optimization problem with volume constraint with applications to optimal mass transport
Joao Vitor da Silva, Leandro M. Del Pezzo, Julio D. Rossi
In this manuscript we study the following optimization problem with volume constraint: \[ \min\left\{\frac{1}{p}\int_Ω |\nabla v|^pdx- \int_{\partial Ω} gv\,dS \colon v \in W^{1, p…
Symmetry results in the half space for a semi-linear fractional Laplace equation through a one-dimensional analysis
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we analyze the semi-linear fractional Laplace equation $$(-Δ)^s u = f(u) \quad\text{ in } \mathbb{R}^N_+,\quad u=0 \quad\text{ in } \mathbb{R}^N\setminus \mathbb{R}^N…