Existence and multiplicity of positive solutions for a singular system via sub-supersolution method and Mountain Pass Theorem

Abstract

In this paper we show existence and multiplicity of positive solutions using the sub-supersolution method and Mountain Pass Theorem in a general singular system which the operator is not homogeneous neither linear.

Keywords

• $p$&$q$-laplacian operator
• sub-supersolution method
• singular system
• mountain pass theorem.