On some properties of solutions of quasilinear degenerate equations

• Datum: 2008
• Hauptverfasser: Amanov, R. A., Mamedov, F. I., Аманов, Р. А., Мамедов, Ф. И.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2008
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3209
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

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.