A note on estimates of level sets and their role in demonstrating regularity of solutions to nonlocal double phase equations

Abstract

In this note we prove an estimate on the level sets of a function with $(p,q)$ growth that depends on the difference quotient of a bounded weak solution to a nonlocal double phase equation. This estimate is related to a self improving property of these solutions.

arXiv admin note: text overlap with arXiv:2011.11466