F. Teso

activity

20152026

most citedThree representations of the fractional

p

-Laplacian: semigroup, extension and Balakrishnan formulas

30 citations · 36 across the 10 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AP2020★ 30 cited

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…

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

A mean value formula 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