Guillaume Valette

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20242026

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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…

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

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