Biharmonic Equation and an Improved Hardy Inequality  

作　　者：Yang-xinYao Yao-tianShen Zhi-huiChen 

机构地区：[1]DepartmenofAppliedMathematics,SouthChinaUniversityofTechnology,Guangzhou510640China

出　　处：《Acta Mathematicae Applicatae Sinica》2004年第3期433-440,共8页应用数学学报（英文版）

基　　金：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 inequality and variational techniques, we also discuss the existence of nontrivial solution for following the weighted eigenvalue problem:An improved Hardy inequality will be proven in the present work. Using the improved Hardy inequality and variational techniques, we also discuss the existence of nontrivial solution for following the weighted eigenvalue problem:

关 键 词：Biharmonic equation Hardy inequality nontrivial solution 

分 类 号：O175.24[理学—数学]