Sharp estimates on the first eigenvalue of the p-Laplacian with negative Ricci lower bound

We complete the picture of sharp eigenvalue estimates for the -Laplacian on a compact manifold by providing sharp estimates on the first nonzero eigenvalue of the nonlinear operator when the Ricci curvature is bounded from below by a negative constant. We assume that the boundary of the manifold is convex, and put Neumann boundary conditions on it. The proof is based on a refined gradient comparison technique and a careful analysis of the underlying model spaces.


Published in:
Mathematische Zeitschrift, 277, 3-4, 867-891
Year:
2014
Publisher:
Heidelberg, Springer Verlag
ISSN:
0025-5874
Laboratories:




 Record created 2014-08-29, last modified 2018-03-17


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)