On singularly weighted generalized Laplacian systems and their applications

Abstract

We study the homogeneous Dirichlet boundary value problem of generalized Laplacian systems with a singular weight which may not be integrable. Some explicit intervals which correspond to the existence and nonexistence of positive solutions for the system with the finite asymptotic behaviors of the nonlinearities at 0 and ∞{\infty} are obtained.

Keywords

• generalized laplacian system
• singular weight
• existence
• positive solution
• 34b16
• 34b18