Local Boundedness of a Direction Dependent Double Phase Nonlocal Elliptic Equation

Abstract

This paper investigates the local boundedness of weak solutions to a direction-dependent double-phase nonlocal elliptic equation. By employing refined energy estimates and De Giorgi-type techniques, we establish the local boundedness of these solutions.

arXiv commentTo appear in Journal of Mathematical Analysis and Applications. This is the accepted version of the manuscript