半直线上L^p-Poincaré不等式最优常数的估计  

Estimation of the Optima]Constants in the L^p-Poincar(?) Inequalities on the Half Line

作　　者：靳荷艳[1] 毛永华[2] He Yan JIN;Yong Hua MAO(The Branch of Beijing No.5 Middle School,Beijing 100009,P.R.China;School of Mathematical Sciences,Beijing Normal University Beijing 100875,P.R,China)

机构地区：[1]北京市第五中学分校,北京100009 [2]北京师范大学数学科学学院,北京100875

出　　处：《数学学报（中文版）》2012年第1期169-178,共10页Acta Mathematica Sinica：Chinese Series

摘　　要：运用分析方法给出半直线上测度有限时在Dirichlet边界条件下L^p-Poincaré不等式最优常数的变分公式,并运用迭代方法结合变分公式得到了最优常数的显式估计.We will apply analytic methods to give the variational formula of the optimal constants in the L^p-Poincareé inequalities on the half line with finite measure and Dirichlet boundary condition.Moreover,by using iterating methods and the variational formula,we can get the explicit estimation of the optimal constants.

关 键 词：L^p-Poincaré不等式 DIRICHLET边界条件 变分公式 显式界 

分 类 号：O174.55[理学—数学]