A Lyapunov type inequality for indefinite weights and eigenvalue homogenization

Fernández Bonder, Julián; Pinasco, Juan; Salort, Ariel

doi:10.1090/proc/12871

A Lyapunov type inequality for indefinite weights and eigenvalue homogenization
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by Julián Fernández Bonder, Juan Pablo Pinasco and Ariel Martin Salort

Proc. Amer. Math. Soc. 144 (2016), 1669-1680

DOI: https://doi.org/10.1090/proc/12871

Published electronically: September 15, 2015

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Abstract:

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.

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