Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers
Analysis of PDEs
2017-03-06 v1
Abstract
We obtain a sufficient condition for boundary regularity of quasiminimizers of the p-energy integral in terms of a Wiener type sum of power type. The exponent in the sum is independent of the dimension and is explicitly expressed in terms of p and the quasiminimizing constant. We also show by an example that the exponent is sharp in a certain sense.
Cite
@article{arxiv.1504.08197,
title = {Sharp exponents and a Wiener type condition for boundary regularity of quasiminimizers},
author = {Jana Björn},
journal= {arXiv preprint arXiv:1504.08197},
year = {2017}
}