REILLY-TYPE UPPER BOUNDS FOR THE p-STEKLOV PROBLEM ON SUBMANIFOLDS

DOI10.1017/s0004972723000096zbMath1530.58007arXiv2207.04510OpenAlexW4322618395MaRDI QIDQ6069305

Abhitosh Upadhyay, Julien Roth

Publication date: 14 November 2023

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

Full work available at URL: https://arxiv.org/abs/2207.04510

zbMATH Keywords

eigenvalues\(p\)-LaplacianSteklov problem

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Boundary value problems on manifolds (58J32) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• Spectral geometry of the Steklov problem (survey article)
• Eigenvalue problems for the \(p\)-Laplacian
• Extrinsic eigenvalues upper bounds for submanifolds in weighted manifolds
• General Reilly-type inequalities for submanifolds of weighted Euclidean spaces

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