Some versions of Poincar´e inequalities and Equivalent Norms on the Sobolev space W^1,p(Ω)

碩士 === 輔仁大學 === 數學系研究所 === 98 === In this paper, we prove the Poincar´e inequality for functions F with t ≦F(t), F(0) = 0 and satisfy the Lipschitz condition by compactness and prove the Poincar´e inequality for convex functions with annular domain BS(x0)\BR(x0) where BR(x0) is an open ball in R^n o...

Full description

Bibliographic Details
Main Authors: Wang Li Hsin, 王俐心
Other Authors: 張茂盛
Format: Others
Language:en_US
Published: 2010
Online Access:http://ndltd.ncl.edu.tw/handle/74593835093151658377

Similar Items