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Regularity up to the boundary for some degenerate elliptic operators
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-05-23 , DOI: 10.1080/00036811.2020.1769079 G. Di Fazio 1 , M. S. Fanciullo 1 , P. Zamboni 1
中文翻译：
一些退化椭圆算子的正则性直到边界
更新日期：2020-05-23
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-05-23 , DOI: 10.1080/00036811.2020.1769079 G. Di Fazio 1 , M. S. Fanciullo 1 , P. Zamboni 1
Affiliation
ABSTRACT
We consider a class of severely degenerate elliptic operators and establish a Harnack inequality up to the boundary. As a consequence, we get smoothness of the weak solutions under very sharp assumptions regarding the lower order terms of the operator.
中文翻译：
一些退化椭圆算子的正则性直到边界
摘要
我们考虑一类严重退化的椭圆算子，并建立一个直到边界的 Harnack 不等式。因此，在关于算子低阶项的非常尖锐的假设下，我们得到了弱解的平滑性。
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