On singularly weighted generalized Laplacian systems and their applications
Xianghui Xu, Yong-Hoon Lee · Advances in Nonlinear Analysis · 2016
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.