Lyapunov-type inequalities for nonlinear systems involving the (p1,p2,...,pn)-Laplacian

Abstract

We prove some generalized Lyapunov-type inequalities for n-dimensional Dirichlet nonlinear systems. We extend the results obtained by Cakmak and Tiryaki [6] for a parameter $1<p_k<2$. As an application, we obtain lower bounds for the eigenvalues of the corresponding system.

Keywords

• Lyapunov-type inequality
• lower bound
• (p1,p2,..,pn)-Laplacian