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math.AP2015★ 1 cited
Eigenvalue homogenization problem with indefinite weights
J. Fernández Bonder, J. P. Pinasco, A. M. Salort
In this work we study the homogenization problem for nonlinear elliptic equations involving Laplacian type operators with sign changing weights. We study the asymptotic behavio…
math.AP2015★ 1 cited
A Lyapunov type Inequality for Indefinite Weights and Eigenvalue Homogenization
J. Fernández Bonder, J. P. Pinasco, A. M. Salort
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 t…