Papers

• S. Pérez-Ayala, "Sharp Spectral Bounds for the p-Laplacian and Polyharmonic Operators on Asymptotically Hyperbolic Manifolds", submitted for publication. Preprint here: https://arxiv.org/abs/2604.25144

• S. Pérez-Ayala and A. Tyrrell, "Holography and Cheeger Constant of Asymptotically CMC Submanifolds",  submitted for publication. Preprint here: https://arxiv.org/abs/2503.12703.

• S. Pérez-Ayala and A. Tyrrell, "First Eigenvalue Estimates for Asymptotically Hyperbolic Manifolds and their Submanifolds",  Revista Matemática Iberoamericana. Preprint here: https://arxiv.org/abs/2404.07365.

• S. Pérez-Ayala, "Extremal Eigenvalues of the Paneitz Operator in Conformal Classes," J. Geometry and Physics, Preprint here: https://arxiv.org/abs/2204.04570.

• M. J. Gursky and S. Pérez-Ayala, " Variational Properties Of The Second Eigenvalue Of The Conformal Laplacian," Journal of Functional Analysis, Preprint here:  https://arxiv.org/abs/2010.13210.

• S. Pérez-Ayala, "Extremal Eigenvalues Of The Conformal Laplacian Under Sire-Xu Normalization," Nonlinear Analysis, Preprint here: https://arxiv.org/abs/2011.06018.