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Ukrainian Mathematical Journal

, Volume 28, Issue 2, pp 208–210 | Cite as

Integral bounds of solutions of linear homogeneous elliptic equations of any order in the metric Lp, p > 2

  • A. S. Fokht
Brief Communications
  • 16 Downloads

Keywords

Elliptic Equation Integral Bound Homogeneous Elliptic Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Literature cited

  1. 1.
    A. S. Fokht, “Bounds for the solutions of elliptic equations and their derivatives in the neighborhood of the domain boundary in the metric L2,” Trudy Matematicheskogo In-ta Akad. Nauk SSSR,77 (1965).Google Scholar
  2. 2.
    A. S. Fokht, “Embedding theorems for solutions of elliptic equations,” Trudy Matematicheskogo In-ta Akad. Nauk SSSR,105 (1969).Google Scholar
  3. 3.
    A. S. Fokht, “Integral bounds of generalized derivatives of solutions of second-order elliptic equations in the metric Lp and certain embedding theorems related to them,” Trudy Matematicheskogo In-ta Akad. Nauk SSSR,117 (1972).Google Scholar
  4. 4.
    A. S. Fokht, “Integral bounds of derivatives of a polyharmonic function in an n-dimensional region in the metric Lp and certain applications,” Differents. Uravnen.,7, No. 8 (1971).Google Scholar
  5. 5.
    A. S. Fokht, “Integral bounds of derivatives of solutions of elliptic equations with lower smoothness requirements towards the boundary of the region,” Ukrainsk. Matem. Zh.,24, No. 6 (1972).Google Scholar
  6. 6.
    A. S. Fokht, “Integral bound of derivatives of harmonic function in N-dimensional region of metric L2 and certain applications,” Differents. Uravnen.,6, No. 7 (1970).Google Scholar
  7. 7.
    S. M. Nikol'skii, “A bound for a function which is harmonic in an n-dimensional region,” Sibirsk. Matem. Zh.,1, No. 1 (1960).Google Scholar

Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. S. Fokht
    • 1
  1. 1.Moscow Physicotechnical InstituteUSSR

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