arXiv:1212.3422 Abstract | arXiv Analytics

arXiv:1212.3422 [math.DG]Abstract References Reviews Resources

On the p-Laplace operator on Riemannian manifolds

Published 2012-12-14, updated 2014-01-24Version 3

This thesis covers different aspects of the p-Laplace operators on Riemannian manifolds. Chapter 2. Potential theoretic aspects: the Khasmkinskii condition. Chapter 3: sharp eigenvalue estimates with Ricci curvature lower bounds. Chapter 4: Critical sets of (2-)harmonic functions.

Comments: PhD Thesis: Contains results obtained in collaboration with other mathematicians, see section 1.4 for details. ADDED IN THIS VERSION: correction of few typos, and added a reference brought to our attention by an anonymous referee. Details in the introduction, end of section 1.3

Categories: math.DG, math.AP

Keywords: riemannian manifolds, p-laplace operator, ricci curvature lower bounds, potential theoretic aspects, sharp eigenvalue estimates

Tags: dissertation

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