Maximum Principles and Singular Elliptic Inequalities

✍ Scribed by Stefano Pigola; Marco Rigoli; Alberto G. Setti

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 274 KB
• Volume: 193
• Category: Article
• ISSN: 0022-1236
• DOI: 10.1006/jfan.2001.3930

✦ Synopsis

In this paper, we present a version of the Omori-Yau maximum principle, a Liouville-type result, and a Phragmen-Lindelo¨ff-type theorem for a class of singular elliptic operators on a Riemannian manifold, which include the p-Laplacian and the mean curvature operator. Some applications of the results obtained are discussed.