Lyapunov-type inequalities for Laplacian systems and applications to boundary value problems
- College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, China
- 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.
- Lyapunov type inequality
- boundary value problem
- Laplacian systems
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