Convergence Rates in a Weighted Fučik Problem

Author:

Salort Ariel Martin1

Affiliation:

1. Departamento de Matemáticas FCEN - Universidad de Buenos Aires Ciudad Universitaria, Pabellón I (1428) Av. Cantilo s/n. Buenos Aires, Argentina

Abstract

Abstract In this work we consider the Fučik problem for a family of weights depending on ε 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.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics,Statistical and Nonlinear Physics

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