ZHANG Zong-lao~(1,2)(1.Faculty of Science,Xi’an Jiaotong University,Xi’an 710049,China;2.School of Mathematics and Information Science,Wenzhou Normal College,Zhejiang Wenzhou 325000,China)
Abstract:By use of the Hessian comparison theorem and the method of lower and upper solutions,it is proved that for a large group of nonnegative functions f,the equations Δu=f have bounded global solutions on a complete Riemannian manifold with negative curvature