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Sharp lower bound of the first eigenvalue of the $p$-Laplacian under integral Ricci curvature

Seto, Shoo
arXiv (All) · Papers
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analysis-of-pdesdifferential-geometry
We prove a sharp Zhong-Yang type lower bound for the first nonzero eigenvalue of the $p$-Laplacian on closed manifolds with small integral Ricci curvature for $p \geq 2$. The proof combines a global elliptic estimate obtained by Sobolev truncation with strict perturbations of one-dimensional compari
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