Homogenization of Fu\v{c}\'ik eigencurves

TL;DR

This paper investigates the homogenization of Fučík eigencurves and half-eigenvalues, providing quantitative convergence bounds for periodic homogenization problems.

Contribution

It introduces new quantitative bounds on the convergence rate of Fučík eigencurves in the context of periodic homogenization.

Findings

Established convergence bounds for eigencurves

Quantified the rate of convergence in homogenization

Focused on periodic homogenization problems

Abstract

In this work we study the convergence of an homogenization problem for half-eigenvalues and Fu\v{c}\'ik eigencurves. We provide quantitative bounds on the rate of convergence of the curves for periodic homogenization problems.