EIGENVALUE;
COMPACT OPERATORS;
SPECTRAL THEORY FOR ORDINARY DIFFERENTIAL EQUATIONS;
D O I:
10.1007/BF01189452
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
In this paper we give a lower bound for the first eigenvalue of an ordinary differential operator which represents the radial part of the Laplace operator restricted to a spherical cap of a sphere, possibly of fractional dimension. The results are obtained by purely analytical methods.