%0 Journal Article %T A Lyapunov-Type Inequality for a Laplacian System on a Rectangular Domain with Zero Dirichlet Boundary Conditions %J Mathematics | An Open Access Journal from MDPI %D 2019 %R https://doi.org/10.3390/math7090850 %X We consider a coupled system of partial differential equations involving Laplacian operator, on a rectangular domain with zero Dirichlet boundary conditions. A Lyapunov-type inequality related to this problem is derived. This inequality provides a necessary condition for the existence of nontrivial positive solutions. View Full-Tex %U https://www.mdpi.com/2227-7390/7/9/850