Blow up solutions for two-dimensional semilinear elliptic problem of Liouville type with nonlinear gradient terms

Abstract

This work investigates the existence of singular limit solutions for nonlinear elliptic systems. Our main approach focuses on using the nonlinear domain decomposition method to establish a new Liouville-type result.

Keywords

• liouville-type system
• singular limit solution
• nonlinear domain decomposition method
• green’s function.
• 35j65
• 35b25
• 46e35
• 65m55