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arXiv · 2403.06081

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

Matheus Nunes Soares·Fábio Reis dos Santos
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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.

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Matheus Nunes Soares, Fábio Reis dos Santos. 2024-03-10. A remark on the first eigenvalue of the p-Laplacian on compact submanifolds in the unit sphere. https://arxiv.org/abs/2403.06081

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