Controlling monotonicity of nonlinear operators

IF 0.8 4区数学 Q2 MATHEMATICS

Expositiones Mathematicae Pub Date : 2022-12-01 DOI:10.1016/j.exmath.2022.07.002

Michał Borowski, Iwona Chlebicka

引用次数: 5

Abstract

Controlling the monotonicity and growth of Leray–Lions’ operators including the $p$ -Laplacian plays a fundamental role in the theory of existence and regularity of solutions to second order nonlinear PDEs. We collect, correct, and supply known estimates including the discussion on the constants. Moreover, we provide a comprehensive treatment of related results for operators with Orlicz growth. We pay special attention to exposition of the proofs and the use of elementary arguments.

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非线性算子的单调性控制

在二阶非线性偏微分方程解的存在性和正则性理论中，控制包括p-拉普拉斯算子在内的Leray-Lions算子的单调性和生长性具有重要意义。我们收集、修正和提供已知的估计，包括对常数的讨论。此外，我们还为Orlicz生长的操作者提供了相关结果的综合处理。我们特别注意证明的阐述和初等论证的使用。

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

Expositiones Mathematicae 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

40 days

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