Regularity and convergence of minimizer in nonlocal variational principle

TL;DR

This paper investigates the regularity and convergence properties of minimizers in nonlocal variational principles, providing theoretical insights into their behavior and stability.

Contribution

It offers new theoretical results on the regularity and weak convergence of minimizers in nonlocal variational problems.

Findings

Established regularity conditions for minimizers

Proved weak convergence under certain assumptions

Provided foundational analysis for nonlocal variational principles

Abstract

We prove some variational analysis of regularity and weak convergence of nonlocal variational principle.