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.
Regularity up to the boundary for some degenerate elliptic operators
Di Fazio Giuseppe;Fanciullo Maria;Zamboni Pietro
2022-01-01
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.File in questo prodotto:
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