On the Bossel-Daners inequality for the p-Laplacian on complete Riemannian manifolds

Daguang Chen; Shan Li; Yilun Wei

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arXiv · 2504.08538

On the Bossel-Daners inequality for the p-Laplacian on complete Riemannian manifolds

Daguang Chen·Shan Li·Yilun Wei

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Abstract

In this paper, we obtain the Bossel-Daners inequality for the first eigenvalue of the p-Laplacian with Robin boundary conditions on complete Riemannian manifolds with lower Ricci curvature bounds. Furthermore, we demonstrate that the Bossel-Daners inequality extends to compact submanifolds within complete Riemannian manifolds characterized by positive asymptotic volume ratio and non-negative intermediate Ricci curvature.

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BibTeX RIS

Daguang Chen, Shan Li, Yilun Wei. 2025-04-11. On the Bossel-Daners inequality for the p-Laplacian on complete Riemannian manifolds. https://arxiv.org/abs/2504.08538

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