Ukrainian Mathematical Journal

, Volume 40, Issue 2, pp 197–199 | Cite as

Biharmonic potentials and plane isotropic displacement fields

  • V. F. Kovalev
  • I. P. Mel'nichenko
Brief Communications


Displacement Field Biharmonic Potential 
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Literature cited

  1. 1.
    N. I. Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity [in Russian], Izd. Akad. Nauk SSSR, Moscow (1954).Google Scholar
  2. 2.
    V. F. Kovalev and I. P. Mel'nichenko, “Biharmonic functions on the biharmonic plane,” Dokl. Akad. Nauk Ukr. SSSR, Ser. A. No. 8, 25–27 (1981).Google Scholar
  3. 3.
    A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1977).Google Scholar

Copyright information

© Plenum Publishing Corporation 1988

Authors and Affiliations

  • V. F. Kovalev
    • 1
  • I. P. Mel'nichenko
    • 1
  1. 1.Institute of MathematicsAcademy of Sciences of the Ukrainian SSRKiev

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