## Differential and Integral Equations

### A Lyapunov inequality for monotone quasilinear operators

#### Abstract

In this work we prove a Lyapunov-type inequality for monotone quasilinear operators generalizing the $p-$Laplacian. This inequality enable us to obtain lower bounds for the first eigenvalue obtained in the setting of Orlicz-Sobolev spaces.

#### Article information

Source
Differential Integral Equations, Volume 18, Number 10 (2005), 1193-1200.

Dates
First available in Project Euclid: 21 December 2012