Homogenization of Steklov eigenvalues with rapidly oscillating weights

Abstract

In this article we study the homogenization rates of eigenvalues of a Steklov problem with rapidly oscillating periodic weight functions. The results are obtained via a careful study of oscillating functions on the boundary and a precise estimate of the L ∞ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer-Fučík spectrum.