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Comparison results for solutions to p-Laplace equations with Robin boundary conditions

Published 20 Jan 2021 in math.AP | (2101.08099v2)

Abstract: In the last decades comparison results of Talenti type for Elliptic Problems with Dirichlet boundary conditions have been widely investigated. In this paper, we generalize the results obtained in arXiv:1909.11950 to the case of p-Laplace operator with Robin boundary conditions. The point-wise comparison, obtained in arXiv:1909.11950 only in the planar case, holds true in any dimension if p is sufficiently small.

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