Sharp gradient estimate and spectral rigidity for p-Laplacian

Chiung Jue Anna Sung, Jiaping Wang

Research output: Contribution to journalArticlepeer-review

19 Scopus citations

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 languageEnglish (US)
Pages (from-to)885-904
Number of pages20
JournalMathematical Research Letters
Volume21
Issue number4
DOIs
StatePublished - 2014

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