F. Teso

activity

20152023

collaborators

8 papers

math.NA2021

A finite difference method for the variational $p$ -Laplacian

Félix del Teso, Erik Lindgren

We propose a new monotone finite difference discretization for the variational $p$ -Laplace operator, \[ Δ_p u=\text{div}(|\nabla u|^{p-2}\nabla u), \] and present a convergent nume…

math.AP2020

Three representations of the fractional $p$ -Laplacian: semigroup, extension and Balakrishnan formulas

Félix del Teso, David Gómez-Castro, Juan Luis Vázquez

We introduce three representation formulas for the fractional $p$ -Laplace operator in the whole range of parameters $0 < s < 1$ and $1 < p < \infty$ . Note that for $p \neq = 2$ this a nonlinea…

math.AP2020

A mean value formula for the variational $p$ -Laplacian

Félix del Teso, Erik Lindgren

We prove a new asymptotic mean value formula for the $p$ -Laplace operator, $Δ_{p} u = div (∣\nabla u ∣^{p - 2} \nabla u),$ valid in the viscosity sense. In the plane, and for a c…

math.NA2018

Numerical approximations for fractional elliptic equations via the method of semigroups

Nicole Cusimano, Félix del Teso, Luca Gerardo-Giorda

We provide a novel approach to the numerical solution of the family of nonlocal elliptic equations $(- Δ)^{s} u = f$ in $Ω$ , subject to some homogeneous boundary conditions $\mathcal{B}(…

math.AP2018

Characterization of nonlocal diffusion operators satisfying the Liouville theorem. Irrational numbers and subgroups of $R^{d}$

Nathaël Alibaud, Félix del Teso, Jørgen Endal +1

We investigate the characterization of generators $L$ of Lévy processes satisfying the Liouville theorem: Bounded functions $u$ solving $L [u] = 0$ are constant. T…

math.AP2018

Porous medium equation with nonlocal pressure

Diana Stan, Félix del Teso, Juan Luis Vázquez

We provide a rather complete description of the results obtained so far on the nonlinear diffusion equation $u_{t} = \nabla \cdot (u^{m - 1} \nabla (- Δ)^{- s} u)$ , which describes a flow thr…

A finite difference method for the variational p-Laplacian

Three representations of the fractional p-Laplacian: semigroup, extension and Balakrishnan formulas

A mean value formula for the variational p-Laplacian