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

IF 1.3 2区数学 Q1 MATHEMATICS

Nonlinear Analysis-Theory Methods & Applications Pub Date : 2025-07-01 DOI:10.1016/j.na.2025.113864

A. Celentano, C. Nitsch, C. Trombetti

引用次数: 0

Abstract

In this paper, we establish a comparison principle in terms of Lorentz norms and pointwise inequalities between a positive solution

u

to the Poisson equation with non-homogeneous Neumann boundary conditions and a specific positive solution

v

to the Schwarz symmetrized problem, which is related to

u

through an additional boundary condition.

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一类Neumann边值问题的Talenti比较结果

本文利用洛伦兹范数和点向不等式建立了非齐次Neumann边界条件下泊松方程的正解u与Schwarz对称问题的特定正解v之间的比较原理，该问题通过附加的边界条件与u相关。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Nonlinear Analysis-Theory Methods & Applications 数学-数学

CiteScore

3.30

自引率

0.00%

发文量

265

审稿时长

60 days

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