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arXiv · 2405.05392

A Talenti comparison result for a class of Neumann boundary value problems

Antonio Celentano·Carlo Nitsch·Cristina Trombetti
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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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Antonio Celentano, Carlo Nitsch, Cristina Trombetti. 2024-05-08. A Talenti comparison result for a class of Neumann boundary value problems. https://arxiv.org/abs/2405.05392

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