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Matematicheskie Zametki, 2008, Volume 83, Issue 1, Pages 3–13
DOI: https://doi.org/10.4213/mzm4334 (Mi mzm4334) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form

R. A. Amanova, F. I. Mamedovb

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
b Dicle University
Full-text PDF (480 kB) Citations (10)
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DOI: https://doi.org/10.4213/mzm4334
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.
Received: 14.07.2006
English version:
Mathematical Notes, 2008, Volume 83, Issue 1, Pages 3–13
DOI: https://doi.org/10.1134/S000143460801001X
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: R. A. Amanov, F. I. Mamedov, “Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form”, Mat. Zametki, 83:1 (2008), 3–13; Math. Notes, 83:1 (2008), 3–13
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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