Existence and multiplicity of positive weak solutions for a new class of\n (p; q)-Laplacian systems

2020/06/10 by Rafik Guefaifia, Jiabin Zuo, Guefaifia, Rafik +5 · 1 citation
Mathematics · Computer Science · #Nonlinear Partial Differential Equations #Advanced Mathematical Modeling in Engineering #Nonlinear Differential Equations Analysis

paper · pdf · doi:10.48550/arxiv.2006.05776

Abstract

The paper is concerned with the existence of positive weak solutions for a\nnew class of \( p,q\) -Laplacian elliptic systems in a bounded\ndomain by means of the method of sub-super solutions. Particularly, we do not\nneed any sign conditions for \γ \( 0\), g\( 0\), f\(\n0\) and h\(0\) . Moreover, a multiplicity result is obtained\nwhen \γ \(0\)=g\( 0\)=f\( 0\)=h\(\n0\)=0. Finally, we give some examples to verify our main results.\n

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