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A Talenti comparison result for a class of Neumann boundary value problems
Published 8 May 2024 in math.AP | (2405.05392v2)
Abstract: In this paper, we establish a comparison principle in terms of Lorentz norms and point-wise inequalities between a positive solution $u$ to the Poisson equation with non-homogeneous Neumann boundary conditions and a specific positive solution $v$ to the Schwartz symmetrized problem, which is related to $u$ through an additional boundary condition.
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