Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvature

Daniele Valtorta

doi:10.1016/j.na.2012.04.012

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arXiv · 1102.0539

Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvature

Daniele Valtorta

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Abstract

We prove the sharp estimate on the first nonzero eigenvalue of the p-laplacian on a compact Riemannian manifold with nonnegative Ricci curvature and possibly with convex boundary (in this case we assume Neumann b.c. on the p-laplacian). The proof is based on a gradient comparison theorem. We will also charachterize the equality case in the estimate.

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BibTeX RIS

Daniele Valtorta. 2011-02-02. Sharp estimate on the first eigenvalue of the p-Laplacian on compact manifold with nonnegative Ricci curvature. https://doi.org/10.1016/j.na.2012.04.012

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