Eigenvalue homogenization for quasilinear elliptic operators in one space dimension

Details Eigenvalue homogenization for quasilinear elliptic operators in one space dimension Eigenvalue homogenization for quasilinear elliptic operators in one space dimension

2012-03-08

arxiv.org/abs/1203.2091v1

Mathematics

Analysis of PDEs

22 pages, 4 figures

Scientific paper

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

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