MMN-3378

Existence and multiplicity of positive weak solutions for a new class of (P; Q)-Laplacian systems

Rafik Guefaifia; Salah Boulaaras; Jiabin Zuo; Praveen Agarwal;

Abstract

The paper is concerned with the existence of positive weak solutions for a new class of $\left( p,q\right) $% -Laplacian elliptic systems in a bounded domain by means of the method of sub-super solutions. Particularly, we do not need any sign conditions for $% \gamma \left( 0\right), g\left( 0\right), f\left( 0\right) $ and $h\left( 0\right) $. Moreover, a multiplicity result is obtained when $\gamma \left( 0\right)=g\left( 0\right)=f\left( 0\right)=h\left( 0\right)=0.$ Finally, we give some examples to verify our main results.


Vol. 21 (2020), No. 2, pp. 861-872
DOI: 10.18514/MMN.2020.3378


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