Maximum principles, ABP estimates and HKS inequalities related to GLE systems

IF 1 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2024-08-15 DOI:10.1007/s10231-024-01496-2

Edir Júnior Ferreira Leite, Marcos Montenegro

引用次数: 0

Abstract

Closely related to the pioneering work (Berestycki et al. Commun Pure Appl Math, pp 47–92, 1994) by the authors Berestycki, Nirenberg and Varadhan, we prove maximum and comparison principles for generalized Lane-Emden type systems and as consequences we establish Aleksandrov-Bakelman-Pucci estimates and Harnack-Krylov-Safonov inequalities for related non-homogeneous inequalities, among other results. These contributions go towards a comprehensive understanding on strongly coupled nonlinear elliptic systems.

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与 GLE 系统有关的最大原则、ABP 估计和 HKS 不等式

与先驱性工作密切相关（Berestycki等）。在作者Berestycki， Nirenberg和Varadhan的研究中，我们证明了广义Lane-Emden型系统的极大值和比较原理，并由此建立了相关非齐次不等式的Aleksandrov-Bakelman-Pucci估计和harnak - krylov - safonov不等式，以及其他结果。这些贡献有助于对强耦合非线性椭圆系统的全面理解。

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

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

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