13 citations · 50 across the 20 of their papers we have counts for
25 papers
A remark on definable equivalence
Anna Valette, Guillaume Valette
We establish that if a submanifold of is definable in some o-minimal structure then any definable submanifold which is $\mathscr{C}^\inft…
On the Laplace equation on bounded subanalytic manifolds
Guillaume Valette
We prove a trace formula for integration by parts on subanalytic bounded submanifolds of , possibly non closed. We also establish density results for $\mathbf{W}^{1,p…
On Sobolev spaces of bounded subanalytic manifolds
Guillaume Valette
We focus on the Sobolev spaces of bounded subanalytic submanifolds of . We prove that if is such a manifold then the space is dense in $…
Uniform Poincaré inequality in o-minimal structures
Anna Valette, Guillaume Valette
We first define the trace on a domain which is definable in an o-minimal structure. We then show that every function vanishing on the boundary in the trace se…
Regular vectors and bi-Lipschitz trivial stratifications in o-minimal structures
Guillaume Valette
These notes focus on the Lipschitz geometry of sets that are definable in o-minimal structures (expanding the real field). We show that every set which is definable in a polynomial…
Trace operators on bounded subanalytic manifolds
Anna Valette, Guillaume Valette
We prove that if is a bounded subanalytic submanifold of such that is connected for every and sma…