Converses of Gauss’ theorem on the arithmetic mean
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- by Oliver D. Kellogg PDF
- Trans. Amer. Math. Soc. 36 (1934), 227-242 Request permission
References
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Evans, G. C., Application of Poincaré’s sweeping-out process, Proceedings of the National Academy of Sciences, vol. 19 (1933), pp. 457-461.
Kellogg, O. D., Foundations of Potential Theory, Berlin, 1929.
—On the classical Dirichlet problem for general domains, Proceedings of the National Academy of Sciences, vol. 12 (1926), pp. 397-406.
- O. D. Kellogg, Recent progress with the Dirichlet problem, Bull. Amer. Math. Soc. 32 (1926), no. 6, 601–625. MR 1561275, DOI 10.1090/S0002-9904-1926-04267-1 —Unicité des fonctions harmoniques, Comptes Rendus de l’Académie des Sciences, vol. 187 (1928), pp. 526-527. Koebe, P., Herleitung der partiellen Differentialgleichung der Potentialfunktion aus der Integraleigenschaft, Sitzungsberichte der Berliner Mathematischen Gesellschaft, vol. 5 (1906), pp. 39-42. Lebesgue, H., Sur le problème de Dirichlet, Comptes Rendus de l’Académie des Sciences, vol. 154 (1912), pp. 335-337. Perkins, F. W., Sur la résolution du problème de Dirichlet par des médiations réitérées, ibid., vol. 184 (1927), pp. 182-183. Wiener, N., The Dirichlet problem, Journal of Mathematics and Physics, Massachusetts Institute of Technology, vol. 3 (1924), pp. 127-146. —Certain notions in potential theory, ibid., vol. 3 (1924), pp. 25-51.
Additional Information
- © Copyright 1934 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 36 (1934), 227-242
- MSC: Primary 31A05
- DOI: https://doi.org/10.1090/S0002-9947-1934-1501739-0
- MathSciNet review: 1501739