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arXiv · 2506.07100

Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space

Wenjing Wu
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Abstract

In this paper, we prove a Talenti-type comparison theorem for the $p$-Laplacian with Dirichlet boundary conditions on open subsets of a $\mathrm{RCD}(0,N)$ space with $N\in (1,\infty)$. We also obtain an almost rigidity result of the Talenti-type comparison theorem, whose proof relies on a compactness on varying spaces.

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Wenjing Wu. 2025-06-08. Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space. https://arxiv.org/abs/2506.07100

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