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Articles

Regularity up to the boundary for some degenerate elliptic operators

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Pages 3563-3575 | Received 10 Feb 2020, Accepted 09 May 2020, Published online: 23 May 2020
 

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.

2010 Mathematics Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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