10 citations · 11 across the 5 of their papers we have counts for
5 papers
Nontrivial solutions to the relative overdetermined torsion problem in a cylinder
Filomena Pacella, David Ruiz, Pieralberto Sicbaldi
Given a bounded regular domain and the half-cylinder , we consider the relative overdetermined torsion problem in , i.e. \[\l…
A Schiffer-type problem for annuli with applications to stationary planar Euler flows
Alberto Enciso, Antonio J. Fernández, David Ruiz +1
If on a smooth bounded domain there is a nonconstant Neumann eigenfunction that is locally constant on the boundary, must be a disk or an annulus? Th…
Overdetermined elliptic problems in nontrivial contractible domains of the sphere
David Ruiz, Pieralberto Sicbaldi, Jing Wu
In this paper, we prove the existence of nontrivial contractible domains , , such that the overdetermined elliptic problem \begin{equation*} \begin{…
Conformal metrics of the disk with prescribed Gaussian and geodesic curvatures
David Ruiz
This paper is concerned with the existence of conformal metrics of the disk with prescribed Gaussian and geodesic curvatures. Being more specific, given nonnegative smooth function…
Nearby Cycle Sheaves for Symmetric Pairs
Mikhail Grinberg, Kari Vilonen, Ting Xue
We present a nearby cycle sheaf construction in the context of symmetric spaces. This construction can be regarded as a replacement for the Grothendieck-Springer resolution in clas…