Convergence rates in a weighted Fucik problem

2012/05/09 by Ariel M. Salort, Ariel Salort, Salort, Ariel M. · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math.AP

paper · pdf · doi:10.48550/arxiv.1205.2075

17 pages, 1 figure

arxiv created 2013/02/19 · arxiv updated 2013/02/20

Abstract

In this work we consider the Fuucik problem for a family of weights depending on \ve with Dirichlet and Neumann boundary conditions. We study the homogenization of the spectrum. We also deal with the special case of periodic homogenization and we obtain the rate of convergence of the first non-trivial curve of the spectrum.

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• Eigenvalue homogenization for quasilinear elliptic equations with different boundary conditions

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