March 23, 2024Open Access

Optimal lower estimate for the first eigenvalue of the p-Laplacian

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Abstract

An integral inequality is derived for compact submanifolds (with or without boundary) in the unit sphere. This result leads to a characterization of spheres.

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

synapsesocial.com/papers/68e72b90b6db6435876a50e2 https://doi.org/https://doi.org/10.48550/arxiv.2403.15964

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3Lichnerowicz Type Estimate for the $p$-Laplacian Under Weighted Integral Curvature Bounds2024
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5Behavior of Absorbing and Generating $p$-Robin Eigenvalues in Bounded and Exterior Domains2024

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