Skip to main content
Log in

Eigenvalues and maximal domains for a quasi-linear elliptic equation

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. S. Bergmann andM. Schiffer: Kernel functions in the theory of partial differential equations of elliptic type. Duke Math. J.15, 535–566 (1948).

    Google Scholar 

  2. R. Courant andD. Hilbert: Methoden der Mathematischen Physik. Berlin, Vol. I, 1931; Vol. II, 1937.

  3. G. F. D. Duff: A modified Dirichlet problem for a quasilinear elliptic equation, to appear.

  4. andJ. Nitsche: Bemerkungen zum zweiten Randwertproblem der Differentialgleichung Δ φ = φ 2 x + φ 2 y . Math. Ann.126, 69–74 (1953).

    Google Scholar 

  5. J. Leray andJ. Schauder: Topologie et équations fonctionnelles. Ann. Ecole Norm. (3)51, 45–78 (1934).

    Google Scholar 

  6. W. Stekloff: Sur la théorie des fonctions fondamentales. C. r. Acad. Sci. (Paris)128, 984–987 (1899).

    Google Scholar 

  7. C. E. Weatherburn: Riemannian geometry and tensor calculus. Cambridge 1938.

Download references

Author information

Authors and Affiliations

Authors

Additional information

This paper was written at the Summer Research Institute of the Canadian Congress of Mathematics, Kingston, Ontario. The author wishes to thank the National Research Council of Canada for financial support during this period.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Duff, G.F.D. Eigenvalues and maximal domains for a quasi-linear elliptic equation. Math. Ann. 131, 28–37 (1956). https://doi.org/10.1007/BF01354664

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01354664

Keywords

Navigation