On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain
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.
English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 7, pp 955-975.
Citation Example: Bazalii B. V., Degtyarev S. P. On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain // Ukr. Mat. Zh. - 2007. - 59, № 7. - pp. 867–883.