A Lyapunov type inequality for indefinite weights and eigenvalue homogenization
Julián Fernández Bonder, Juan Pablo Pinasco, Ariel Martin Salort · Proceedings of the American Mathematical Society · 2015
In this paper we prove a Lyapunov type inequality for quasilinear problems with indefinite weights. We show that the first eigenvalue is bounded below in terms of the integral of the weight, instead of the integral of its positive part. We apply this inequality to some eigenvalue homogenization problems with indefinite weights.