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

Ricardo Lima Alves

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arXiv · 2010.01375

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

Ricardo Lima Alves

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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 $(\lambda,\mu)$. By using the sub-supersolution method together with adaptations of ideas found in \cite{AAS,CRMZ}, we extend some previous result.

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Ricardo Lima Alves. 2020-10-03. A new result on the existence and non-existence of positive solutions for two-parametric systems of quasilinear elliptic equations. https://arxiv.org/abs/2010.01375

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