A. Ponce

activity

20062025

most citedDiffuse measures and nonlinear parabolic equations

70 citations · 257 across the 32 of their papers we have counts for

collaborators

Showing 2017 · math.FAShow all

3 papers · 2 filters

math.FA2017★ 4 cited

A note on the fractional perimeter and interpolation

Augusto C. Ponce, Daniel Spector

We present the fractional perimeter as a set-function interpolation between the Lebesgue measure and the perimeter in the sense of De Giorgi. Our motivation comes from a new fracti…

math.FA2017

A Boxing Inequality for the Fractional Perimeter

Augusto C. Ponce, Daniel Spector

We prove the Boxing inequality: $H_{\infty}^{d - α} (U) \leq C α (1 - α) \int_{U} \int_{R^{d} ∖ U} \frac{d y d z}{∣ y - z ∣ ^{α + d}},$ for every $α\in…

math.FA2017★ 2 cited

Weak approximation by bounded Sobolev maps with values into complete manifolds

Pierre Bousquet, Augusto C. Ponce, Jean Van Schaftingen

We have recently introduced the trimming property for a complete Riemannian manifold $N^{n}$ as a necessary and sufficient condition for bounded maps to be strongly dense in $W^{1,…