Eigenvalue homogenization for quasilinear elliptic operators

Details Eigenvalue homogenization for quasilinear elliptic operators Eigenvalue homogenization for quasilinear elliptic operators

2012-01-05

arxiv.org/abs/1201.1219v2

Mathematics

Analysis of PDEs

Minor mistake in Section 5 corrected and exposition clarified

Scientific paper

In this work we study the homogenization problem for (nonlinear) eigenvalues
of quasilinear elliptic operators. We prove convergence of the first and second
eigenvalues and, in the case where the operator is independent of
$\varepsilon$, convergence of the full (variational) spectrum together whit an
explicit in $k$ and in $\varepsilon$ order of convergence.

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