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// Matematicheskie Zametki
// Archive
Mat. Zametki,
2008
Volume 83,
Issue 1,
Pages
3–13
(Mi mzm4334)
This article is cited in
10
papers
Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form
R. A. Amanov
a
,
F. I. Mamedov
b
a
Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
b
Dicle University
Abstract:
A priori
estimates of the solution to the Dirichlet problem and of its first derivatives in terms of weighted Lebesgue norms are obtained for linear and quasilinear equations with degeneracy from
$A_p$
Muckenhoupt classes.
Keywords:
elliptic equation of divergence form, Dirichlet problem, Lipschitz condition, Lebesgue norm, Lebesgue measure, Hölder's inequality.
UDC:
517.9
Received:
14.07.2006
DOI:
10.4213/mzm4334
Fulltext:
PDF file (480 kB)
References
Cited by
English version:
Mathematical Notes, 2008,
83
:1,
3–13
Bibliographic databases:
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Steklov Math. Inst. of RAS
, 2025