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Rn上椭圆型特征值问题正特征函数的存在性和惟一性
Rn상타원형특정치문제정특정함수적존재성화유일성
The existence and uniqueness of positive eigenfunctions of some elliptic eigenvalue systems in Rn

万方数据

浙江大学学报(理学版) 浙江大學學報(理學版) 절강대학학보(이학판)
JOURNAL OF ZHEJIANG UNIVERSITY
2001年 1期 7-13 ,共7页

薛儒英薛儒英

설유영

特征值问题%整体解%存在性%惟一性%充要条件特徵值問題%整體解%存在性%惟一性%充要條件
특정치문제%정체해%존재성%유일성%충요조건

本文讨论了Rn上椭圆型特征值问题，给出了正特征函数存在和惟一的充分必要条件。
본문토론료Rn상타원형특정치문제，급출료정특정함수존재화유일적충분필요조건。
The existence and uniqueness of positive eigenfunctions for some elliptic eigenvalue systems in Rn was considered. Some necessary and sufficient conditions which ensure the existence and uniqueness of positive eigenfunctions were obtained.