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A Dirichlet type problem for complex polyharmonic functions

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Abstract

We extend holomorphically polyharmonic functions on a real ball to a complex set being the union of rotated balls. We solve a Dirichlet type problem for complex polyharmonic functions with the boundary condition given on the union of rotated spheres.

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Authors and Affiliations

  1. Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Wóycickiego 1/3, 01-938, Warszawa, Poland

    H. Grzebuła & S. Michalik

Authors
  1. H. Grzebuła
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  2. S. Michalik
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Correspondence to H. Grzebuła.

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Grzebuła, H., Michalik, S. A Dirichlet type problem for complex polyharmonic functions. Acta Math. Hungar. 153, 216–229 (2017). https://doi.org/10.1007/s10474-017-0740-4

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  • DOI: https://doi.org/10.1007/s10474-017-0740-4

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