output
20082026
most citedAvoiding catastrophic failure in correlated networks of networks

292 citations

researchers with a paper here
collaborating institutions
Showing math.APShow all

5 papers · 1 filter

math.AP2022

Non-simultaneous blow-up for a system with local and non-local diffusion

Leandro M. Del Pezzo, Raul Ferreira

We study the possibility of non-simultaneous blow-up for positive solutions of a coupled system of two semilinear equations, , , $p, q, α, β>0…

math.AP2019★ 19 cited

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…

math.AP2018

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…

math.AP2016★ 146 cited

A Hopf's lemma and a strong minimum principle for the fractional -Laplacian

Leandro M. Del Pezzo, Alexander Quaas

Our propose here is to provide a Hopf Lemma and a strong minimum principle for week supersolutions of \[ (-Δ_p)^s u= c(x)|u|^{p-2}u \quad \text{ in } Ω\] where is an open set o…

math.AP2014★ 49 cited

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}\…