PDE Seminar (2018/6/22): Properties of solutions to elliptic partial differential equations on a spherical domain

2018-6-22 16:30 - 2018-6-22 18:00
Faculty of Science Building #3, Room 309
Yoshitsugu Kabeya (Osaka Prefecture University)
We mainly consider the nonlinear elliptic partial differential equations of scalar-field type on a large spherical cap and discuss the properties of solutions from the bifurcation theoretic point of view. We treat solutions which depend both on the "latitude" and on the "longitude". We also focus on the asymptotic behavior of the eigenvalues of the Laplace-Beltrami operator on the sphere as the cap becomes larger and larger.