Samuel Pérez-Ayala

collaborators

3 papers

math.DG2026

Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map

Samuel Pérez-Ayala

We study the variational properties of the spectrum of the Dirichlet-to-Robin map $D_{g}$ on connected compact manifolds with boundary of dimension at least three. For the…

math.DG2026

Sharp Spectral Bounds for the $p$ -Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds

Samuel Pérez-Ayala

We derive sharp bounds for three types of eigenvalue problems. First, we derive an upper bound for the first $p$ -Dirichlet eigenvalue on conformally compact (CC) spaces. As a conse…

math.DG2025

Holography and Cheeger constant of asymptotically CMC submanifolds

Samuel Pérez-Ayala, Aaron J. Tyrrell

Let $(M^{n + 1}, g_{+})$ be an asymptotically hyperbolic manifold. We compute the Cheeger constant of conformally compact asymptotically constant mean curvature submanifolds $ ι: Y^{k+1…

Existence and Regularity of Extremal Metrics for the Conformal Dirichlet-to-Robin Map

Sharp Spectral Bounds for the p-Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds

Holography and Cheeger constant of asymptotically CMC submanifolds

Sharp Spectral Bounds for the $p$ -Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds