Abstract
We derive a sharp gradient estimate for positive eigenfunctions of the p-Laplacian on a complete manifold with Ricci curvature bounded below. As an application, we study the rigidity of manifolds achieving the maximum value of the principal eigenvalue of the p-Laplacian.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 885-904 |
| Number of pages | 20 |
| Journal | Mathematical Research Letters |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2014 |
Bibliographical note
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