On certain degenerate and singular elliptic PDEs IV: Nondivergence-form operators with logarithmic degeneracies or singularities

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2024-10-22 DOI:10.1016/j.jde.2024.10.017

Diego Maldonado

引用次数: 0

Abstract

Harnack inequalities for nonnegative strong solutions to nondivergence-form elliptic PDEs with degeneracies or singularities of logarithmic type are proved. The results are developed within the Monge-Ampère real-analytic and geometric tools associated to certain convex functions.

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论某些退化和奇异的椭圆 PDE IV：具有对数退化或奇异性的非分歧形式算子

证明了具有对数类型退化或奇异性的非辐散形式椭圆 PDEs 的非负强解的哈纳克不等式。这些结果是在与某些凸函数相关的 Monge-Ampère 实解析和几何工具中得到的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics