The eigenvalues of the Laplacian and perturbation of boundary condition
Shin Ozawa · Proceedings of the Japan Academy Series A Mathematical Sciences · 1979
Let /2 be a bounded domain in R with C boundary -.Consider eigenvalue problem for the Laplacian with the third boundary condition;( 1 ) (--z--)u(x) O, x e 9, u (x) + p(x)u(x) O, x e(2)where , denotes the exterior unit normal vector at , and p(x) is a func- tion in the HSlder space C/(-) (01).Let _2.__ be the eigenvalues of the problem (l), (2), then