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arXiv · 2510.23939

Intrinsic Scalings with Non-standard Growth

M. D. Amaral·J. G. Araújo
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Abstract

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 H\"older regularity estimates for bounded weak solutions. These results offer new insights, even in the time-stationary case.

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M. D. Amaral, J. G. Araújo. 2025-10-27. Intrinsic Scalings with Non-standard Growth. https://arxiv.org/abs/2510.23939

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