Samuel Pérez-Ayala

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20202026

most citedVariational Properties Of The Second Eigenvalue Of The Conformal Laplacian

9 citations · 11 across the 7 of their papers we have counts for

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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…

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

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