含Hardy位势的双调和方程特征值问题

含Hardy位势的双调和方程特征值问题

伍芸¹，姚仰新²,柯敏²

1. 贵州师范大学数学与计算机科学学院, 贵州贵阳 550001; 2. 华南理工大学数学科学学院, 广东广州 510640

收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
通讯作者: 伍芸

Eigenvalue problems of bi-harmonic equations with Hardy potential

WU Yun¹, YAO Yang-xin², KE Min²

1. Department of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China;
2. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, Guangdong, China

Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
Contact: WU Yun

摘要/Abstract

摘要： 对于一类包含Hardy位势1／|x|4(N≥5) 的双调和方程的特征值问题,通过建立一个新空间和一个Hardy-Rellich不等式证明该特征值问题的解的存在性。

关键词: 特征值问题, Hardy位势, 双调和方程

Abstract:

The eigenvalue problem of bi-harmonic equations with Hardy potential 1／|x|4 (N≥5) was investigated based on an establishment of a new space and a Hardy-Rellich inequality. Furthermore, the results show the solvability of these problems in the new space.

Key words: Hardy potential, bi-harmonic equation, eigenvalue problem

中图分类号:

O175.25

伍芸,姚仰新,柯敏 . 含Hardy位势的双调和方程特征值问题[J]. J4, 2008, 43(9): 81-84 .

WU Yun,YAO Yang-xin,KE Min . Eigenvalue problems of bi-harmonic equations with Hardy potential[J]. J4, 2008, 43(9): 81-84 .

参考文献

多维度评价

Viewed

Full text

Abstract

Cited

Shared

Discussed

[1]	程永宽,姚仰新,韩亚蝶. 一类含Hardy位势的椭圆方程解的存在性[J]. J4, 2013, 48(2): 62-66.
[2]	王江潮, 张贻民*. 含Hardy位势与临界参数的渐近线性椭圆型方程[J]. J4, 2012, 47(2): 14-18.
[3]	伍芸1, 姚仰新2. 在R⁴空间中的双调和方程的特征值问题[J]. J4, 2011, 46(6): 45-48.