The Boyarsky–Meyers Estimate for Second Order Elliptic Equations in Divergence Form. Two Spatial Examples

We construct two examples of domains where the improved integrability of the gradient of a solution to the Zaremba problem for a second order elliptic operator can be estimated.

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-12, Vol.268 (4), p.523-534
Main Authors: Chechkin, G. A., Chechkina, T. P.
Format: Article
Language:English
Subjects:
Elliptic functions
Mathematics
Mathematics and Statistics
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Description
Summary:We construct two examples of domains where the improved integrability of the gradient of a solution to the Zaremba problem for a second order elliptic operator can be estimated.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06210-2