# Some remarks on the coincidence set for the Signorini problem

## TL;DR

This paper investigates the properties of the coincidence set in the boundary Signorini problem, offering new insights that relax previous convexity assumptions on the domain by introducing alternative conditions on the data.

## Contribution

It demonstrates that the convexity assumption on the domain can be replaced with alternative data conditions, extending the understanding of the coincidence set in Signorini problems.

## Key findings

- Convexity assumption can be avoided with alternative data conditions
- Improved understanding of the coincidence set properties
- Extends previous results in Signorini problem analysis

## Abstract

We study some properties of the coincidence set for the boundary Signorini problem, improving some results from previous works by the second author and collaborators. Among other new results, we show here that the convexity assumption on the domain made previously in the literature on the location of the coincidence set can be avoided under suitable alternative conditions on the data.