G. Valette

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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…

On Sobolev spaces of bounded subanalytic manifolds

Uniform PoincarÃ© inequality in o-minimal structures