Intrinsic Scalings with Non-standard Growth
In this work, we investigate quantitative regularity estimates for degenerate parabolic partial differential equations, with a focus on Orlicz-type diffusive structures. Using a geometric tangential analysis tailored to these structures and a general notion of intrinsic scalings, we derive precise interior Hölder regularity estimates for bounded weak solutions. These results offer new insights, even in the time-stationary case.
math.AP↗