On Lyapunov-type inequalities for ( p , q ) $(p,q)$ -Laplacian systems

Abstract

Abstract We establish Lyapunov-type inequalities for a system involving one-dimensional ( p i , q i ) $(p_{i},q_{i})$ -Laplacian operators ( i = 1 , 2 $i=1,2$ ). Next, the obtained inequalities are used to derive some geometric properties of the generalized spectrum associated to the considered problem.

Keywords

• Lyapunov-type inequalities
• ( p , q ) $(p,q)$ -Laplacian
• system
• generalized eigenvalues
• generalized spectrum