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

Miskolc Mathematical Notes

article

Rafik Guefaifia¹  Salah Boulaaras²  Jiabin Zuo⁴  Praveen Agarwal⁷ 

[1] Department of Mathematics, Faculty of Exact Sciences,, University Tebessa;Department of Mathematics, College of Sciences and Arts in Al-Rass, Qassim University;Laboratory of Fundamental and Applied Mathematics of Oran ,(LMFAO),, University of Oran 1;Faculty of Applied Sciences, Jilin Engineering Normal University;College of Science, Hohai University;Departamento de Matematica, Universidade Estadual de Campinas;Anand International College of Engineering

关键词: new elliptic systems existence;    positive solutions;    multiplicity;    sub-super solutions;   

DOI  :  10.18514/MMN.2020.3378

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

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.

【 授权许可】

CC BY