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

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

2011-02-02

arxiv.org/abs/1102.0539v5

Mathematics

Differential Geometry

Accepted for publication on Nonlinear Analysis: TMA (Elsevir)

Scientific paper

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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