Eigenvalues of the Laplace-Beltrami operator on a large spherical cap under the Robin problem
Yoshitsugu Kabeya, Tatsuki Kawakami, Atsushi Kosaka, Hirokazu Ninomiya · Kodai Mathematical Journal · 2014
Eigenvalues of the Laplace-Beltrami operator on a spherical cap is considered under the homogeneous Robin condition. The asymptotic behavior of eigenvalues and the influence of the eigenvalues by the boundary conditions are discussed as the cap becomes large so that the domain covers almost the whole sphere.