A Wiener-Type Condition for Boundary Continuity of Quasi-Minima of Variational Integrals

TL;DR

This paper establishes a Wiener-type condition involving a Wiener integral divergence that determines the boundary continuity of Q-minima in variational integrals.

Contribution

It introduces a new Wiener-type criterion specifically for boundary continuity of Q-minima, expanding the theoretical understanding in variational calculus.

Findings

Wiener integral divergence implies boundary continuity of Q-minima

The criterion provides a necessary and sufficient condition

Enhances the theoretical framework for boundary regularity in variational problems

Abstract

A Wiener-type condition for the continuity at the boundary points of Q-minima, is established, in terms of the divergence of a suitable Wiener integral.