On the p-Laplace operator on Riemannian manifolds

Daniele Valtorta

On the p-Laplace operator on Riemannian manifolds

Differential Geometry 2014-01-27 v3 Analysis of PDEs

Authors: Daniele Valtorta

Abstract

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.

Keywords

p-Laplace operator Riemannian manifold Khasminskii condition Ricci curvature eigenvalue estimate harmonic function critical set

Cite

@article{arxiv.1212.3422,
  title  = {On the p-Laplace operator on Riemannian manifolds},
  author = {Daniele Valtorta},
  journal= {arXiv preprint arXiv:1212.3422},
  year   = {2014}
}

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

On the p-Laplace operator on Riemannian manifolds

Abstract

Keywords

Cite

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