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.

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.