David Ruiz

collaborators

2 papers

math.AP2024

A Schiffer-type problem for annuli with applications to stationary planar Euler flows

Alberto Enciso, Antonio J. FernÃ¡ndez, David Ruiz +1

If on a smooth bounded domain $I^c ◯ \subset R^{2}$ there is a nonconstant Neumann eigenfunction $u$ that is locally constant on the boundary, must $I^c ◯$ be a disk or an annulus?…

math.AP2024

Nontrivial solutions to the relative overdetermined torsion problem in a cylinder

Filomena Pacella, David Ruiz, Pieralberto Sicbaldi

Given a bounded regular domain $I ¨ \subset R^{N - 1}$ and the half-cylinder $I^£ = I ¨ \times (0, + \infty)$ , we consider the relative overdetermined torsion problem in $I^£$ , i.e.…