Existence result for a Kirchhoff elliptic system involving p-Laplacian operator with variable parameters and additive right hand side via sub and super solution methods

Abstract

The paper deals with the study of the existence result for a Kirchhoff elliptic system with additive right hand side and variable parameters involving p−Laplacian operator by using the sub-super solutions method. Our study is an natural extension result of our previous once in (Math. Methods Appl. Sci. 41 (2018), 5203–5210), where in the latter we discussed only the simple case when the parameters are constant.

Keywords

• kirchhoff elliptic systems
• existence
• positive solutions
• sub-supersolution
• multiple parameters