Eigenvalue homogenization for quasilinear elliptic operators

2012/01/05 by Julián Fernández Bonder, Bonder, Julian Fernandez, Juan Pablo Pinasco +3 · 2 citations
Computer Science · Engineering · Mathematics · #35B27 #35P15 #35P30 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Composite Material Mechanics #FOS: Mathematics #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1201.1219

openalex publication_date 2012/01/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

Cited by

• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
• Estimates of Eigenvalues and Eigenfunctions in Periodic Homogenization

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