Eigenvalues Estimates for the p-Laplace Operator on Manifolds

2008/08/14 by Barnabé Pessoa Lima, Barnabe P. Lima, Lima, Barnabe P. +6 · 3 citations
Chemistry · Computer Science · Mathematics · #53C2 #58C40 #Advanced Mathematical Modeling in Engineering #Chemistry #Differential Geometry (math.DG) #Eigenvalues and eigenvectors #FOS: Mathematics #Geometric Analysis and Curvature Flows #Laplace operator #Laplace transform #Laplace–Beltrami operator #Mathematical analysis #Mathematics #Operator (biology) #Physics #Pure mathematics #advanced mathematical theories #math.DG #msc:53C2 #msc:58C40 #p-Laplacian

paper · pdf · doi:10.48550/arxiv.0808.2028

published in arXiv (Cornell University) (Cornell University)

arxiv created 2008/08/14 · openalex publication_date 2008/08/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We obtain geometric estimates for the first eigenvalue and the fundamental tone of the p-laplacian on manifolds in terms of admissible vector fields. Also, we defined a new spectral invariant and we show its relation with the geometry of the manifold.

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