AI 中文总结
该研究针对各向异性特鲁丁格方程非负弱超解证明了局部弱哈纳克不等式，给出了绕过克里洛夫-萨丰诺夫覆盖论证的哈纳克不等式证明，并确定了巴伦布拉特型剖面。
AI 中文摘要
我们证明了各向异性特鲁丁格方程非负弱超解的局部弱哈纳克不等式；作为应用，给出了一种绕过任何克里洛夫-萨丰诺夫覆盖论证的哈纳克不等式证明；还进一步开展了全局次势下界分析，最终确定了巴伦布拉特型剖面。
英文摘要
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.
Comments18 pages, 2 figures
