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.
ON THE P-LAPLACE OPERATOR ON RIEMANNIAN MANIFOLDS / D. Valtorta ; supervisore: A. Setti. UNIVERSITA' DEGLI STUDI DI MILANO, 2013 Feb 26. 25. ciclo, Anno Accademico 2012. [10.13130/valtorta-daniele_phd2013-02-26].
ON THE P-LAPLACE OPERATOR ON RIEMANNIAN MANIFOLDS
D. Valtorta
2013
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.
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