G. Valette

collaborators

3 papers

math.AG2024

A remark on $C^{\infty}$ definable equivalence

Anna Valette, Guillaume Valette

We establish that if a submanifold $M$ of $R^{n}$ is definable in some o-minimal structure then any definable submanifold $N \subset R^{n}$ which is $\mathscr{C}^\inft…

math.AP2024

On Sobolev spaces of bounded subanalytic manifolds

Guillaume Valette

We focus on the Sobolev spaces of bounded subanalytic submanifolds of $R^{n}$ . We prove that if $M$ is such a manifold then the space $C_{0}^{\infty} (M)$ is dense in $…

math.AP2024

Anna Valette, Guillaume Valette

We first define the trace on a domain $I^c ◯$ which is definable in an o-minimal structure. We then show that every function $u \in W^{1, p} (I^c ◯)$ vanishing on the boundary in the trace…

A remark on C∞ definable equivalence

On Sobolev spaces of bounded subanalytic manifolds

Uniform PoincarÃ© inequality in o-minimal structures

A remark on $C^{\infty}$ definable equivalence