Maximum principles, ABP estimates and HKS inequalities related to GLE systemsMaximum principles, ABP estimates and HKS inequalities related...E. J. F. Leite, M. Montenegro

被引：0

作者：

Edir Júnior Ferreira Leite ^{[1
]}

Marcos Montenegro ^{[2
]}

机构：

[1] Universidade Federal de São Carlos,Departamento de Matemática

[2] Universidade Federal de Minas Gerais,Departamento de Matemática

来源：

Annali di Matematica Pura ed Applicata (1923 -) | 2025年 / 204卷 / 2期

关键词：

GLE systems; Maximum principles; Comparison principles; ABP estimates; Harnack-Krylov-Safonov inequalities; 35B50; 35B51; 35J47; 35P15;

D O I：

10.1007/s10231-024-01496-2

中图分类号：

学科分类号：

摘要：

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.

引用

页码：573 / 592

页数：19