Paulo Henryque C. Silva

collaborators

3 papers

math.DG2026

Dirichlet--Neumann duality for the Basic Spectrum of Riemannian Submersions: A Supersymmetric Perspective

Vicent Gimeno i Garcia, Paulo Henryque da Costa Silva

This manuscript investigates the spectral geometry of Riemannian submersions whose fibers have a basic mean curvature. By restricting the Laplace--Beltrami operator to the space of…

math.AP2026

Barta Theorem for the $p$ -Laplacian and Geometric Applications

Paulo Henryque C. Silva

In this article, we develop a Barta-type formulation for the $p$ -Laplacian on Riemannian manifolds, extending the approach of Cheung-Leung and Bessa-Montenegro from the linear to t…

math.DG2026

$p$ -Eigenvalue pinching sphere theorems

Paulo Henryque C. Silva

In this paper, we establish two $p$ -eigenvalue pinching sphere theorems, for the $ p $-Laplacian, $p > 1$ . The first result states that if the first non-zero $p$ -eigenvalue of a cl…

Dirichlet--Neumann duality for the Basic Spectrum of Riemannian Submersions: A Supersymmetric Perspective

Barta Theorem for the p-Laplacian and Geometric Applications

p-Eigenvalue pinching sphere theorems

Barta Theorem for the $p$ -Laplacian and Geometric Applications

$p$ -Eigenvalue pinching sphere theorems