49 citations · 63 across the 5 of their papers we have counts for
5 papers
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…
A Liouville theorem for indefinite fractional diffusion equations and its application to existence of solutions
B. Barrios, L. Del Pezzo, J. Garcia-Melian +1
In this work we obtain a Liouville theorem for positive, bounded solutions of the equation where stands for the f…
An optimization problem for the first eigenvalue of the fractional laplacian
L. Del Pezzo, J. Fernandez Bonder, L. Lopez-Rios
In this paper we analyze an eigenvalue problem related to the nonlocal laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of…
Global bifurcation for fractional -Laplacian and application
Leandro M. Del Pezzo, Alexander Quaas
We prove the existence of an unbounded branch of solutions to the non-linear non-local equation $$ (-Δ)^s_p u=λ|u|^{p-2}u + f(x,u,λ) \quad\text{in}\quad Ω,\quad u=0 \quad\text{in}\…
regularity for the Laplacian in two-dimensional convex domains
Leandro M. Del Pezzo, Sandra Martinez
In this paper we study the global regularity for solutions of the Laplacian in two dimensional convex domains with Dirichlet boundary conditions. Here $p:Ω\to [p_1,\in…