27 citations · 81 across the 9 of their papers we have counts for
10 papers
Besov regularity of solutions to the Dirichlet problem for the Bessel -Laplacian
Juan Pablo Borthagaray, Leandro M. Del Pezzo, José Camilo Rueda Niño
We study the Dirichlet problem for a class of fractional -Laplacian operators of order defined through the Riesz fractional gradient, which differs fundamentally f…
The evolution equation and the eigenvalue problem for the Laplacian in a regular tree
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
In this paper, our main goal is to study the evolution problem associated with the Laplacian operator with Dirichlet boundary conditions on a regular tree. To this end, we place sp…
Convex envelopes on Trees
Leandro M. Del Pezzo, Nicolas Frevenza, Julio D. Rossi
We introduce two notions of convexity for an infinite regular tree. For these two notions we show that given a continuous boundary datum there exists a unique convex envelope on th…
Spectrum of the fractional Laplacian in and decay estimate for positive solutions of a Schrödinger equation
Leandro M. Del Pezzo, Alexander Quaas
In this paper, we prove the existence of unbounded sequence of eigenvalues for the fractional Laplacian with weight in We also show a nonexistence result when t…
Eigenvalues for a combination between local and nonlocal Laplacians
Leandro M. Del Pezzo, Raul Ferreira, Julio Rossi
In this paper we study the Dirichlet eigenvalue problem Here i…
A priori bounds and existence of solutions for some nonlocal elliptic problems
B. Barrios, L. Del Pezzo, J. García-Melián +1
In this paper we show existence of solutions for some elliptic problems with nonlocal diffusion by means of nonvariational tools. Our proof is based on the use of topological degre…