Eigenvalue homogenization for quasilinear elliptic operators

Julian Fernandez Bonder; Juan P. Pinasco; Ariel M. Salort

Eigenvalue homogenization for quasilinear elliptic operators

Analysis of PDEs 2012-11-20 v4

Authors: Julian Fernandez Bonder , Juan P. Pinasco , Ariel M. Salort

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

Keywords

elliptic partial differential equations homogenization operator theory and elliptic operators

Cite

@article{arxiv.1201.1219,
  title  = {Eigenvalue homogenization for quasilinear elliptic operators},
  author = {Julian Fernandez Bonder and Juan P. Pinasco and Ariel M. Salort},
  journal= {arXiv preprint arXiv:1201.1219},
  year   = {2012}
}

Comments

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

Eigenvalue homogenization for quasilinear elliptic operators

Abstract

Keywords

Cite

Comments

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