On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain

• Datum: 2007
• Hauptverfasser: Bazalii, B. V., Degtyarev, S. P., Базалий, Б. В., Дегтярев, С. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2007
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/3352
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We prove the existence and uniqueness of a classical solution of a singular elliptic boundary-value problem in an angular domain. We construct the corresponding Green function and obtain coercive estimates for the solution in the weighted Hölder classes.