Eigenvalues Estimates for the p-Laplace Operator on Manifolds

2008/08/14 by Barnabé Pessoa Lima, Lima, Barnabe P., J. Fábio Montenegro +3
Computer Science · Mathematics · #53C2 #58C40 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0808.2028

openalex publication_date 2008/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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