Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems


Qiao-Luan Li - College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, China
Wing-Sum Cheung - Department of Mathematics, The University of Hong Kong, Hong Kong, China


In this paper, we establish some new Lyapunov-type inequalities for a class of Laplacian systems. With these, sufficient conditions for the non-existence of nontrivial solutions to certain boundary value problems are obtained. A lower bound for the eigenvalues is also deduced.