# Regularity in gradient constraint problem and thin film micromagnetics

## TL;DR

This paper establishes regularity results for gradient constraint problems and applies these findings to torsion, micromagnetic, and variational inequality problems, enhancing understanding of solution smoothness.

## Contribution

It provides new C^{1,eta} regularity results for gradient constraint problems and demonstrates their application to micromagnetic and torsion problems.

## Key findings

- Proved C^{1,eta} regularity in gradient constraint problems
- Applied regularity results to micromagnetic and torsion problems
- Improved understanding of solution smoothness in variational inequalities

## Abstract

We prove some C^{1,\alpha} regularity in some gradient constraint problem and application to Torsion problem and micromagnetic problem and variational inequality.

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Source: https://tomesphere.com/paper/1703.01953