REILLY INEQUALITIES OF ELLIPTIC OPERATORS ON CLOSED SUBMANIFOLDS

DOI10.1017/S0004972709000355zbMath1175.53053OpenAlexW2096782254MaRDI QIDQ3183151

Rushan Wang

Publication date: 19 October 2009

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972709000355

zbMATH Keywords

elliptic operatorclosed submanifoldsr-mean curvature

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (1)

Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds

Cites Work

• Sharp upper bounds for \(\lambda _1^{L_r}\) of immersed hypersurfaces and their stability in space forms
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• Stability of hypersurfaces with constant \(r\)-mean curvature
• Extrinsic upper bound for the first eigenvalue of elliptic operators
• On A. Hurwitz' Method in Isoperimetric Inequalities

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