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...
Main Authors: | , |
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Other Authors: | |
Format: | Others |
Language: | en_US |
Published: |
2010
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Online Access: | http://ndltd.ncl.edu.tw/handle/74593835093151658377 |