摘要
利用渐进非负曲率黎曼流形的体积比较公式和Green函数,研究完备非紧的非抛物的,具有渐近非负曲率黎曼流形的poisson方程,得到它的解的条件及其估计式.
In the paper, we use a comparative formula of volume on Riemannian manifold with asymptotically nonnegative curvature and Green function to study the poisson equation on complete noncompact and nonparabolic manifolds with asymptotically nonnegative curvature. Sufficient and necessary condition for the existence of solution is obtained. Sharp estimates on the solutions are also derived.
出处
《同济大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2006年第5期694-697,共4页
Journal of Tongji University:Natural Science
基金
国家自然科学基金资助项目(10571135)
教育部高等学校博士学科点专项基金资助项目(20050240711)
