Maximum Principles and ABP Estimates to Nonlocal Lane–Emden Systems and Some Consequences

Abstract

This paper deals with maximum principles depending on the domain and ABP estimates associated to the following Lane–Emden system involving fractional Laplace operators:

Keywords

• nonlocal lane–emden system
• maximum principles
• abp estimates
• lower estimate of eigenvalue
• existence
• 35b50
• 35p15
• 35r11