含距离位势的p-Laplace算子特征值问题(英文)  

Eigenvalue Problem for p-Laplacian with Distance Potential

作　　者：陈霞[1] 陈志辉[1] 

机构地区：[1]华南理工大学数学科学学院,广东广州510640

出　　处：《东莞理工学院学报》2007年第1期4-7,共4页Journal of Dongguan University of Technology

基　　金：Supported by NNSF of China(10471047);NSF of Guangdong(04020077).

摘　　要：利用Ekeland变分原理,证明了含距离位势的p-LapIace算子适合齐次Dirichlet边值的特征值问题的可解性．此外,通过直接定义的方式得到了以∞为极限的特征值序列．By using Ekeland variational method, the solvability of eigenvalue problem for p-Laplacian with distance potential under homogeneous Dirichlet boundary condition is proved. In addition, infinitely many eigenvalue tending to ∞ by a direct method are obtained.

关 键 词：距离位势 HARDY不等式 变分方法 

分 类 号：O175.25[理学—数学]