A new result on the existence and non-existence of positive solutions for two-parametric systems of quasilinear elliptic equations

Ricardo Lima Alves

paper

A new result on the existence and non-existence of positive solutions for two-parametric systems of quasilinear elliptic equations

arXiv:2010.01375

Abstract

This paper is devoted to the existence and non-existence of positive solutions for a $(p, q)$ -Laplacian system with indefinite nonlinearity depending on two parameters $(λ, μ)$ . By using the sub-supersolution method together with adaptations of ideas found in \cite{AAS,CRMZ}, we extend some previous result.