David Ruiz

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20212024

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math.AP2024

Nontrivial solutions to the relative overdetermined torsion problem in a cylinder

Filomena Pacella, David Ruiz, Pieralberto Sicbaldi

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

math.AP2023

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 $Ω \subset R^{2}$ there is a nonconstant Neumann eigenfunction $u$ that is locally constant on the boundary, must $Ω$ be a disk or an annulus? Th…

math.AP2021

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…