附有邊界奇異點的Caffarelli-Kohn-Nirenberg不等式其最小值問題之研究; On the Minimizers of Caffarelli-Kohn-Nirenberg Inequalities with the Singularity on the Boundary

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/47071

Title:	附有邊界奇異點的Caffarelli-Kohn-Nirenberg不等式其最小值問題之研究;On the Minimizers of Caffarelli-Kohn-Nirenberg Inequalities with the Singularity on the Boundary
Authors:	陳建隆
Contributors:	數學系
Keywords:	Caffarelli-Kohn-Nirenberg 不等式;最小值問題;邊界奇異點;平均曲率;Caffarelli-Kohn-Nirenberg Inequalities;Minimization Problem;Singular Boundary Point;Mean Curvature;數學類
Date:	2010-08-01
Issue Date:	2011-07-13 16:25:32 (UTC+8)
Publisher:	行政院國家科學委員會
Abstract:	在此計劃中, 我們將探究有關附有邊界奇異點的Caffarelli-Kohn-Nirenberg不等式其最小值問題:在此研究計劃中我們將探討是否在函數空間D_a^{1,2}(\Omega) 中存在一函數取到最小值 S(a,b;\Omega)及其相關解行為之研究. In this project, we will investigate the minimization problem of Caffarelli-Kohn-Nirenberg inequalities with the singularity on the boundary.In this project, we want to study the problem whether S(a,b;\Omega) can be attained by some function in the space D_a^{1,2}(\Omega). 研究期間：9908 ~ 10007
Relation:	財團法人國家實驗研究院科技政策研究與資訊中心
Appears in Collections:	[Department of Mathematics] Research Project

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