학술
기타
The weak Harnack inequality and the rigidity of the anisotropic Trudinger's equation
arXiv Math
CC BY
이 매체는 공공·자유 라이선스로 본문을 직접 표시합니다.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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