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arXiv · 2607.26695

The weak Harnack inequality and the rigidity of the anisotropic Trudinger's equation

Simone Ciani·Mattia Galeotti·Igor Skrypnik
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Abstract

We prove a local weak Harnack inequality for nonnegative weak super-solutions to the anisotropic Trudinger equation. As an application, we show a proof of the Harnack inequality that bypasses any sort of Krylov-Safonov covering argument. We further develop an analysis of global sub-potential lower bounds which ultimately leads to the identification of a Barenblatt-type profile.

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Simone Ciani, Mattia Galeotti, Igor Skrypnik. 2026-07-29. The weak Harnack inequality and the rigidity of the anisotropic Trudinger's equation. https://arxiv.org/abs/2607.26695

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