2 citations · 2 across the 7 of their papers we have counts for
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Robin Green Function Estimates and a Model of Mammalian Lungs
Guy David, Stefano Decio, Max Engelstein +3
The present paper establishes delicate properties of the Green function with Robin boundary conditions, in particular, elucidating the nature of the passage between the Dirichlet-l…
Remarks and Conjectures on Stationary Varifolds
Camillo Brena, Stefano Decio, Camillo De Lellis
In this paper, we revisit some known results about stationary varifolds using simpler arguments. In particular, we obtain the height bound and the Lipschitz approximation along wit…
Dimension and structure of the Robin Harmonic Measure on Rough Domains
Guy David, Stefano Decio, Max Engelstein +2
The present paper establishes that the Robin harmonic measure is quantitatively mutually absolutely continuous with respect to the surface measure on any Ahlfors regular set in any…
On a Bernstein inequality for eigenfunctions
Stefano Decio, Eugenia Malinnikova
Let be an eigenfunction of the Laplace-Beltrami operator on a smooth compact Riemannian manifold , i.e., . We show that satisfies a local Berns…
Hausdorff measure bounds for nodal sets of Steklov eigenfunctions
Stefano Decio
We study nodal sets of Steklov eigenfunctions in a bounded domain with boundary. Our first result is a lower bound for the Hausdorff measure of the nodal set: we sh…
Nodal sets of Steklov eigenfunctions near the boundary: Inner radius estimates
Stefano Decio
We show that Steklov eigenfunctions in a bounded Lipschitz domain have wavelength dense nodal sets near the boundary, in contrast to what can happen deep inside the domain. As a co…
Density of zero sets for sums of eigenfunctions
Stefano Decio
We consider linear combinations of eigenfunctions of the Laplace-Beltrami operator on a compact Riemannian manifold and investigate a density property of their zero sets. M…