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Almost rigidity of the Talenti-type comparison theorem on $\mathrm{RCD}(0,N)$ space (2506.07100v1)
Published 8 Jun 2025 in math.AP
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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