3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
Mixed local and nonlocal laplacian without standard critical exponent for Lane-Emden equation
Begoña Barrios, Leandro M. Del Pezzo, Alexander Quaas
In this paper, we investigate a mixed elliptic equation involving both local and nonlocal Laplacian operators, with a power-type nonlinearity. Specifically, we consider a Lane-Emde…