A generalized Omori–Yau maximum principle in Finsler geometry. (November 2015)

• Record Type: Journal Article
• Authors: Yin, Song-Ting; He, Qun
• Is Part Of: Nonlinear analysis. Volume 128(2015)
• Page Start: 227
• Page End: 247
• Publication Date: 2015-11
• Subjects: primary 53C60 -- secondary 53B40; Maximum principle -- Comparison theorem -- Weighted Ricci curvature; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2015.08.007
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We obtain some new Laplacian comparison theorems on Finsler manifolds with the (weighted) Ricci curvature bounded from above (resp. below) by a smooth function. Then, under some new sufficient conditions, we generalize the Omori–Yau type maximum principle in the Finsler setting.