Abstract
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.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 7, pp. 867–883, July, 2007.
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Bazalii, B.V., Degtyarev, S.P. On one boundary-value problem for a strongly degenerate second-order elliptic equation in an angular domain. Ukr Math J 59, 955–975 (2007). https://doi.org/10.1007/s11253-007-0062-8
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DOI: https://doi.org/10.1007/s11253-007-0062-8