Existence of positive bounded solutions for some nonlinear polyharmonic elliptic systems

Abstract

We prove existence results for positive bounded continuous solutions of a nonlinear polyharmonic system by using a potential theory approach and properties of a large functional class $K_{m,n}$ called Kato class.

Keywords

• Green function
• Kato class
• positive bounded solution
• Shauder fixed point theorem
• polyharmonic elliptic system