References
S. Bergmann andM. Schiffer: Kernel functions in the theory of partial differential equations of elliptic type. Duke Math. J.15, 535–566 (1948).
R. Courant andD. Hilbert: Methoden der Mathematischen Physik. Berlin, Vol. I, 1931; Vol. II, 1937.
G. F. D. Duff: A modified Dirichlet problem for a quasilinear elliptic equation, to appear.
andJ. Nitsche: Bemerkungen zum zweiten Randwertproblem der Differentialgleichung Δ φ = φ 2 x + φ 2 y . Math. Ann.126, 69–74 (1953).
J. Leray andJ. Schauder: Topologie et équations fonctionnelles. Ann. Ecole Norm. (3)51, 45–78 (1934).
W. Stekloff: Sur la théorie des fonctions fondamentales. C. r. Acad. Sci. (Paris)128, 984–987 (1899).
C. E. Weatherburn: Riemannian geometry and tensor calculus. Cambridge 1938.
Author information
Authors and Affiliations
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
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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01354664