Isidro H. Munive

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20162022

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math.AP2019

The Harnack inequality for a class of nonlocal parabolic equations

Agnid Banerjee, Nicola Garofalo, Isidro H. Munive +1

In this paper we establish a scale invariant Harnack inequality for the fractional powers of parabolic operators $(\partial_{t} - L)^{s}$ , $0 < s < 1$ , where $L$ is the…

math.AP2019

Gradient continuity estimates for the normalized $p$ -Poisson equation

Agnid Banerjee, Isidro H. Munive

In this paper, we obtain gradient continuity estimates for viscosity solutions of $Δ_{p}^{N} u = f$ in terms of the scaling critical $L (n, 1)$ norm of $f$ , where $Δ_{p}^{N}$ is the norm…

math.AP2018

Solutions of the Yamabe Equation By Lyapunov-Schmidt Reduction

Jorge Davila, Isidro H. Munive

Given any closed Riemannian manifold $(M, g)$ we use the Lyapunov-Schmidt finite-dimensional reduction method and the classical Morse and Lusternick-Schnirelmann theories to prove m…

math.AP2018

Compactness methods for $Γ^{1, α}$ boundary Schauder estimates in Carnot groups

Agnid Banerjee, Nicola Garofalo, Isidro Munive

The aim of this paper is to prove $Γ^{1, α}$ Schauder estimates near a $C^{1, α}$ non-characteristic portion of the boundary for $Γ^{0, α}$ perturbations of horizontal Laplaceans in…

math.AP2016

Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces

Nicola Garofalo, Isidro H. Munive

In a cylinder $D_{T} = Ω \times (0, T)$ , where $Ω \subset R^{n}$ , we examine the relation between the $L$ -caloric measure, $d ω^{(x, t)}$ , where $L$ is the heat operator associated…

The Harnack inequality for a class of nonlocal parabolic equations

Gradient continuity estimates for the normalized p-Poisson equation

Solutions of the Yamabe Equation By Lyapunov-Schmidt Reduction

Compactness methods for Γ1,α boundary Schauder estimates in Carnot groups

Estimates of the Green function and the initial-Dirichlet problem for the heat equation in sub-Riemannian spaces

Gradient continuity estimates for the normalized $p$ -Poisson equation

Compactness methods for $Γ^{1, α}$ boundary Schauder estimates in Carnot groups