A qualitative study on the existence of positive solutions for local and nonlocal elliptic integro-differential quasilinear systems

Abstract

Abstract In this work, we give a qualitative study on the existence of positive solutions for local and nonlocal elliptic integro-differential quasilinear systems, by using the concept of super- and subsolutions combined with Schauder’s fixed point theorem.

Keywords

• Nonlocal problems
• Sub-supersolution methods
• Integral operators
• Elliptic equations
• Nonlinear equations