Eigenvalue homogenization for quasilinear elliptic operators

Abstract

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 $\epsilon$, convergence of the full (variational) spectrum together whit an explicit in $k$ and in $\epsilon$ order of convergence.

This paper has been withdraw due to an improvement on the results that appear in arxiv 1211.0182. The results in the new article will include also the ones in 1203.2091

References in corpus (1)

• Convergence Rates in L^2 for Elliptic Homogenization Problems

Cited by in corpus (5)

• Convergence rate for quasilinear eigenvalue homogenization
• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
• Eigenvalue homogenization for quasilinear elliptic operators in one space dimension
• Convergence rates in a weighted Fucik problem
• Estimates of Eigenvalues and Eigenfunctions in Periodic Homogenization