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arXiv · 2009.12460

Homogenization of Steklov eigenvalues with rapidly oscillating weights

Ariel M. Salort
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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 $L^\infty$ bound of eigenfunctions. As an application we provide some estimates on the first nontrivial curve of the Dancer-{F}u{\v{c}}{\'{\i}}k spectrum.

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Ariel M. Salort. 2020-09-25. Homogenization of Steklov eigenvalues with rapidly oscillating weights. https://arxiv.org/abs/2009.12460

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