Geodesic
Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form
Matematičeskie zametki, Tome 83 (2008) no. 1, pp. 3-13

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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.
Mots-clés : elliptic equation of divergence form, Lebesgue norm, Lebesgue measure
Keywords: Dirichlet problem, Lipschitz condition, Hölder's inequality. 
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     title = {Regularity of the {Solutions} of {Degenerate} {Elliptic} {Equations} in {Divergent} {Form}},
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R. A. Amanov; F. I. Mamedov. Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form. Matematičeskie zametki, Tome 83 (2008) no. 1, pp. 3-13. http://geodesic.mathdoc.fr/item/MZM_2008_83_1_a0/