We construct differential operators that transform arbitrary holomorphic functions into regular solutions of elliptic equations of the second and higher orders. The Riquier problem is solved for the elliptic equation of the fourth order.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 3, pp. 433–440, March, 2019.
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Alexandrovich, I.M., Sydorov, M.VS. Differential Operators Specifying the Solution of an Elliptic Iterated Equation. Ukr Math J 71, 495–504 (2019). https://doi.org/10.1007/s11253-019-01659-y
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DOI: https://doi.org/10.1007/s11253-019-01659-y