Eigenvalue homogenization for quasilinear elliptic operators in one space dimension

preprint2012arXivOpen access

Abstract

In this paper we study the rate of convergence of the eigenvalues of 1-dimensional rapidly oscillating p−p-laplacian type problems and find explicit order of convergence both in kk and in $\ve$. Moreover, explicit bounds on the constant entering in the estimate are also obtained.

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