March 9, 2024Open Access

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

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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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Soares et al. (Sat,) studied this question.

synapsesocial.com/papers/68e74e0bb6db6435876c635d https://doi.org/https://doi.org/10.48550/arxiv.2403.06081

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