The existence and nonexistence of positive solutions for a singular Kirchhoff equation with convection term

Abstract

This paper considers a singular Kirchhoff equation with convection and a parameter. By defining new sub-supersolutions, we prove a new sub-supersolution theorem. Combining method of sub-supersolution with the comparison principle, for Kirchhoff equation with convection, we get the conclusion about positive solutions when nonlinear term is singular and sign-changing.

Keywords

• a singular kirchhoff equation
• nonlinear term
• positive solution
• sub-supersolution
• the comparison principle