Siberian Mathematical Journal

, Volume 36, Issue 1, pp 24–32 | Cite as

Thin sets in weighted potential theory and degenerate elliptic equations

  • S. K. Vodop'yanov
Article
Received:
  • 25 Downloads

Keywords

Elliptic Equation Potential Theory Degenerate Elliptic Equation Weighted Potential Theory 
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.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    M. Brelo, On Topologies and Boundaries in Potential Theory, Springer, Berlin etc. 1970 (Lecture Notes in Math.;175).Google Scholar
  2. 2.
    N. S. Landkof, Fundamentals of Modern Potential Theory [in Russian], Nauka, Moscow (1966).Google Scholar
  3. 3.
    L. I. Hedberg and T. H. Wolff, “Thin sets in nonlinear potential theory,” Ann. Inst. Fourier (Grenoble),33, No. 4, 161–187 (1983).Google Scholar
  4. 4.
    E. Fabes, D. Jerison, and C. Kenig, “The Wiener test for degenerate elliptic equations,” Ann. Inst. Fourier (Grenoble),32, No. 3, 151–182 (1982).Google Scholar
  5. 5.
    E. Stredulinsky, “Weighted inequalities and degenerate elliptic partial equations,” Springer, Berlin etc. (1984) (Lecture Notes in Math.;1302).Google Scholar
  6. 6.
    S. K. Vodop'yanov, “The weighted potentialL p-theory on homogeneous groups,” Sibirsk. Mat. Zh.,33, No. 2, 29–48 (1992).Google Scholar
  7. 7.
    G. B. Folland, “Hardy spaces on homogeneous groups,” Math. Notes,28, Princeton Univ. Press, 1982.Google Scholar
  8. 8.
    N. G. Meyers, “A theory of capacities for potentials of functions in Lebesgue classes,” Math. Scand.,26, No. 2, 255–292 (1970).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • S. K. Vodop'yanov
    • 1
  1. 1.Novosibirsk

Personalised recommendations