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.
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Original Russian Text © R. A. Amanov, F. I. Mamedov, 2008, published in Matematicheskie Zametki, 2008, Vol. 83, No. 1, pp. 3–13.
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Amanov, R.A., Mamedov, F.I. Regularity of the solutions of degenerate elliptic equations in divergent form. Math Notes 83, 3–13 (2008). https://doi.org/10.1134/S000143460801001X
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DOI: https://doi.org/10.1134/S000143460801001X