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math.DG2018
On Eigenvalue Problems Related to the Laplacian in a Class of Doubly Connected Domains
Sheela Verma
We consider two eigenvalue problems for Laplacian on some specific doubly connected domain. In particular, we study the following two eigenvalue problems. Let be an open ball…
math.DG2012★ 12 cited
Sharp upper bound and a comparison theorem for the first nonzero Steklov eigenvalue
Binoy, G. Santhanam
In this paper we prove that given a volume, among all domains with smooth boundary in rank-1 symmetric spaces of noncompact type, geodesic balls maximizes the first nonzero Steklov…
math.DG2012
Sharp upper bound for the first eigenvalue
Binoy, G. Santhanam
Let be a closed hypersurface in a noncompact rank-1 symmetric space with or in a complete, simply connected R…