2017
Том 69
№ 9

All Issues

On some properties of solutions of quasilinear degenerate equations

Amanov R. A., Mamedov F. I.

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Abstract

For the quasilinear equations div A(x, u, ∇u) = 0 with degeneracy ω(x) from the Muckenhaupt Ap -class, we prove the Harnack inequality, an estimate of the Holder norm, and a sufficient test for the regularity of boundary points of the Wiener type.

English version (Springer): Ukrainian Mathematical Journal 60 (2008), no. 7, pp 1073-1098.

Citation Example: Amanov R. A., Mamedov F. I. On some properties of solutions of quasilinear degenerate equations // Ukr. Mat. Zh. - 2008. - 60, № 7. - pp. 918–936.

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