About Bounds for Eigenvalues of the Laplacian with Density

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Author: Ndiaye, Aïssatou Mossèle
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210758
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: About Bounds for Eigenvalues of the Laplacian with Density. Aïssatou Mossèle Ndiaye. SIGMA 16 (2020), 090, 8 pages

Let denote a compact, connected Riemannian manifold of dimension ∈ ℕ. We assume that has a smooth and connected boundary. Denote by and d, respectively, the Riemannian metric on and the associated volume element. Let Δ be the Laplace operator on equipped with the weighted volume form d:= e⁻ʰd....