2000 character limit reached
Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary (2412.21008v2)
Published 30 Dec 2024 in math.SP and math.DG
Abstract: In this paper, we study the Steklov eigenvalue of a Riemannian manifold (M, g) with smooth boundary. For compact M , we establish a Cheeger-type inequality for the first Steklov eigenvalue by the isocapacitary constant. For non-compact M , we estimate the bottom of the spectrum of the Dirichlet-to-Neumann operator by the isocapacitary constant.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Collections
Sign up for free to add this paper to one or more collections.
