Convergence rate for quasilinear eigenvalue homogenization

2012/11/01 by Julian Fernandez Bonder, Bonder, Julian Fernandez, Juan P. Pinasco +3
Mathematics · #35B27 #35P15 #35P30 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35B27 #msc:35P15 #msc:35P30

paper · pdf · doi:10.48550/arxiv.1211.0182

This paper presents improvements on 1201.1219 and 1203.2091. Consequently those papers have been withdraw

arxiv created 2012/11/01 · arxiv updated 2012/11/02

Abstract

In this work we study the homogenization problem for nonlinear eigenvalues of quasilinear elliptic operators. We obtain an explicit order of convergence in k and in ε for the (variational) eigenvalues.

Related

• Eigenvalue homogenization for quasilinear elliptic operators
• Eigenvalue homogenization for quasilinear elliptic operators in one space dimension
• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions
• Eigenvalue homogenization problem with indefinite weights
• Periodic homogenization of the principal eigenvalue of second-order elliptic operators