A Talenti-type comparison theorem for RCD(K, N) spaces and applications

We prove pointwise and L p -gradient comparison results for solutions to elliptic Dirichlet problems defined on open subsets of a (possibly non-smooth) space with positive Ricci curvature (more precisely of an RCD(K, N) metric measure space, with K > 0 and N ∈ (1, ∞)). The obtained Talenti-type c...

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Bibliographic Details
Main Authors: Mondino, A, Vedovato, M
Format: Journal article
Language:English
Published: Springer Nature 2021