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arXiv · 1905.02769

Gradient estimate for harmonic functions on K\"ahler manifolds

Ovidiu Munteanu·Lihan Wang
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Abstract

We prove a sharp integral gradient estimate for harmonic functions on noncompact K\"ahler manifolds. As application, we obtain a sharp estimate for the bottom of spectrum of the p-Laplacian and prove a splitting theorem for manifolds achieving this estimate.

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Ovidiu Munteanu, Lihan Wang. 2019-05-07. Gradient estimate for harmonic functions on K\"ahler manifolds. https://arxiv.org/abs/1905.02769

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