Guillaume Valette

activity

20242026

collaborators

5 papers

math.AG2026

Sobolev embedding theorem and subanalytic measures

Guillaume Valette

We focus on Borel measures that have a globally subanalytic density function. We prove, given such a measure $I^¼$ on a set $A$ and a globally subanalytic mapping $I^¦ : A \to I^c ◯$ , with…

math.AG2026

Inner Lipschitz approximation in o-minimal structures

Nhan Nguyen, Anna Valette, Guillaume Valette

Given an o-minimal structure, we show that every definable (in this structure) mapping that is Lipschitz with respect to the inner metric can be approximated by $C^{1}$ map…

math.AP2026

Density of Neumann regular smooth functions in Sobolev spaces of subanalytic manifolds

Guillaume Valette

We give characterizations of the bounded subanalytic $C^{\infty}$ submanifolds $M$ of $R^{n}$ for which the space of Neumann regular functions is dense in Sobolev sp…

math.AP2025

$W^{1, p}$ priori estimates for solutions of linear elliptic PDEs on subanalytic domains

Guillaume Valette

We prove a priori estimates for solutions of order $2$ linear elliptic PDEs in divergence form on subanalytic domains. More precisely, we study the solutions of a strongly elliptic…

math.AG2024

$L^{p}$ Hodge theory for bounded subanalytic manifolds

Guillaume Valette

Given a bounded subanalytic submanifold of $R^{n}$ , possibly admitting singularities within its closure, we study the cohomology of $L^{p}$ differential forms having an $L^{p}$ …

Sobolev embedding theorem and subanalytic measures

Inner Lipschitz approximation in o-minimal structures

Density of Neumann regular smooth functions in Sobolev spaces of subanalytic manifolds

W1,p priori estimates for solutions of linear elliptic PDEs on subanalytic domains

Lp Hodge theory for bounded subanalytic manifolds

$W^{1, p}$ priori estimates for solutions of linear elliptic PDEs on subanalytic domains

$L^{p}$ Hodge theory for bounded subanalytic manifolds