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Biharmonic Equation and an Improved Hardy Inequality
作者姓名:Yang-xinYao  Yao-tianShen  Zhi-huiChen
作者单位:DepartmenofAppliedMathematics,SouthChinaUniversityofTechnology,Guangzhou510640China
基金项目:Supported by the National Natural Science Foundation of China (No.10171032),the Guangdong Natural Science Foundation (No.011606)
摘    要:An improved Hardy inequality will be proven in the present work.Using the improved Hardy in-equality and variational techniques,we also discuss the existence of nontrivial solution for following the weightedeigenvalue problem:(?)

关 键 词:双谐波方程  Hardy不等式  偏微分方程  解法  最佳

Biharmonic Equation and an Improved Hardy Inequality
Yang-xinYao Yao-tianShen Zhi-huiChen.Biharmonic Equation and an Improved Hardy Inequality[J].Acta Mathematicae Applicatae Sinica,2004,20(3):433-440.
Authors:Email author" target="_blank">Yang-xin?YaoEmail author  Yao-tian?Shen  Zhi-hui?Chen
Institution:E-mail:mayxyao@scut.edu.cn
Abstract:An improved Hardy inequality will be proven in the present work.Using the improved Hardy in-equality and variational techniques,we also discuss the existence of nontrivial solution for following the weightedeigenvalue problem
Keywords:Biharmonic equation  Hardy inequality  nontrivial solution  
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