Estimate for the first Dirichlet eigenvalue of $p-$Laplacian on non-compact manifolds
Differential Geometry
2026-01-21 v2 Analysis of PDEs
Abstract
In this paper, we establish a sharp lower bound for the first Dirichlet eigenvalue of the -Laplacian on bounded domains of a complete, non-compact Riemannian manifold with non-negative Ricci curvature.
Keywords
Cite
@article{arxiv.2504.09856,
title = {Estimate for the first Dirichlet eigenvalue of $p-$Laplacian on non-compact manifolds},
author = {Xiaoshang Jin and Zhiwei Lü},
journal= {arXiv preprint arXiv:2504.09856},
year = {2026}
}
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11 pages