Contact points with integer frequencies in the thin obstacle problem

TL;DR

This paper introduces a unified approach to analyze contact points with integer frequencies in the thin obstacle problem, providing convergence rates and stratification results for these special points.

Contribution

It offers a novel unified method to study contact points with integer frequencies, including convergence rates and stratification in the thin obstacle problem.

Findings

Established rates of convergence to blow-up profiles at contact points with integer frequencies.

Derived a stratification result for contact points with integer frequencies.

Abstract

For the thin obstacle problem, we develop a unified approach that leads to rates of convergence to blow-up profiles at contact points with integer frequencies. For these points, we also obtain a stratification result.