Vol. 280, No. 1, 2016

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Uniqueness result on nonnegative solutions of a large class of differential inequalities on Riemannian manifolds

Yuhua Sun

Vol. 280 (2016), No. 1, 241–254
Abstract

We consider a large class of differential inequalities on complete connected Riemannian manifolds and provide a sufficient condition in terms of volume growth for the uniqueness of nonnegative solutions to the differential inequalities.

Keywords
differential inequalities, Riemannian manifolds, volume growth, uniqueness
Mathematical Subject Classification 2010
Primary: 35J99
Secondary: 58J05
Milestones
Received: 18 July 2014
Revised: 11 March 2015
Accepted: 18 May 2015
Published: 28 December 2015
Authors
Yuhua Sun
Department of Mathematics
University of Bielefeld
D-33501 Bielefeld
Germany
School of Mathematical Sciences and LPMC
Nankai University
94 Weijin Road
Tianjin 300071
China