R^n上椭圆型特征值问题正特征函数的存在性和惟一性

The existence and uniqueness of positive eigenfunctions of some elliptic eigenvalue systems in R^n

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 .

The existence and uniqueness of positive eigenfunctions for some elliptic eigenvalue systems in \%R\+n\% was considered. Some necessary and sufficient conditions which ensure the existence and uniqueness of positive eigenfunctions were obtained.