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Mathematics > Differential Geometry

Title: A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere

Authors: Matheus Nunes Soares, Fábio Reis dos Santos
(Submitted on 10 Mar 2024 (v1), last revised 27 Mar 2024 (this version, v2))
Abstract: An integral inequality for the singular p-laplacian is established for 3/2<p<2. As consequence, lower bounds for the first eigenvalue of the p-laplacian are obtained for minimal submanifolds and prescribed scalar curvature submanifolds in the unit sphere.
Comments: Suggestions are welcomed!
Subjects: Differential Geometry (math.DG)
MSC classes: 53C42, 53A10, 53C20
Cite as: arXiv:2403.06081 [math.DG]
  (or arXiv:2403.06081v2 [math.DG] for this version)

Submission history

From: Matheus Nunes Soares [view email]
[v1] Sun, 10 Mar 2024 04:00:55 GMT (8kb)
[v2] Wed, 27 Mar 2024 22:04:15 GMT (8kb)
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