Skip to main content
SpringerLink
Log in

The minimum of the scalar square of the gradient of a harmonic function

  • Notes
  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. A. Yanushauskas, “The zeros of the gradient and the zeros of the Hessian of a harmonic function,” Sibirsk. Matem. Zh.,10, No. 3, 685–691 (1969).

    Google Scholar 

  2. J. Milnor, Morse Theory, Princeton University Press (1963).

  3. C. Miranda, Partial Differential Equations of Elliptic Type [Russian translation], IL, Moscow (1957).

    Google Scholar 

  4. H. Lewy, “On the non-vanishing of the Jacobian of a homeomorphism by harmonic gradients,” Ann. Math.,88, NO. 3, 518–529 (1968).

    Google Scholar 

  5. G. Bouligand, “Sur quelques problèms non lineaires,” J. Math. pures et appl.,38, No. 7, 201–212 (1959).

    Google Scholar 

  6. B. A. Fuks, Introduction to the Theory of Analytic Functions of Several Complex Variables [in Russian], Fizmatgiz, Moscow (1962).

    Google Scholar 

Download references

Authors
  1. A. Yanushauskas
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 15, No. 5, pp. 1157–1162, September–October, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yanushauskas, A. The minimum of the scalar square of the gradient of a harmonic function. Sib Math J 15, 813–816 (1974). https://doi.org/10.1007/BF00966443

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966443

Keywords

Search

Navigation