Harnack inequality for degenerate and singular operators of <Emphasis Type="Italic">p</Emphasis>-Laplacian type on Riemannian manifolds期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Harnack inequality for degenerate and singular operators of p-Laplacian type on Riemannian manifolds

Authors:	Soojung?Kim author-information" > author-information__contact u-icon-before" > mailto:soojung@gmail.com" title=" soojung@gmail.com" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	1.Department of Mathematics,The Chinese University of Hong Kong,Shatin,Hong Kong

Abstract:	We study viscosity solutions to degenerate and singular elliptic equations of p-Laplacian type on Riemannian manifolds. The Krylov–Safonov type Harnack inequality for the p-Laplacian operators with (1 is established on the manifolds with Ricci curvature bounded from below based on ABP type estimates. We also prove the Harnack inequality for nonlinear p-Laplacian type operators assuming that a nonlinear perturbation of Ricci curvature is bounded below.

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