Existence results for a class of Kirchhoff type systems with Caffarelli-Kohn-Nirenberg exponents

Abstract

This paper is concerned with the existence of positive solutions for a class of infinite semipositone kirchhoff type systems with singular weights. Our aim is to establish the existence of positive solution for λ large enough. The arguments rely on the method of sub-and super-solutions.

Keywords

• nonlocal problems
• singular weights
• infinite semipositone systems
• sub and supersolutions method
• primary 35j55
• secondary 35j65