Bibliography
BRELOT, M.— a)La Théorie Moderne du Potentiel. Annales de l'Institut Fourier vol. IV, 1952. paru en 1954, pp. 113–140.b) Familles de Perron et Problème de Dirichlet (Acta Szeged IX, 1939. pp. 133–153).c) Sur la théorie autonome des fonctions sous-harmoniques (Bull. Sc. Math. 65, 1941, pp. 78–98).d) Critères de régularité et de stabilité (Bull. Ac. Royale de Belgique, Sect. des Sc. XXV, 1939, pp. 125–137).
BRELOT, M., et CHOOQUET, G.—Espaces et lignes de Green (Annales Institut Fourier III, 1951, pp. 199–363).
EVANS, G. C.—Application of Poincaré's sweeping out process (Proceed. Nat. Acad. of Sciences 19, 1933, pp. 457–461).
KELLOGG, O. D.—Unicité des fonctions harmoniques (C. R. Ac. Sc. de Paris vol. 187, 1928, p. 526).
VASILESCO, F.—Sur la continuité du potentiel à travers les masses et la démonstration d'un lemme de Kellogg (C. R. Ac. Sc. de Paris vol. 200, 1935, p. 1173).
Author information
Authors and Affiliations
Additional information
This research was supported by the United States Air Force through the office of Scientific Research and Development Command.
Rights and permissions
About this article
Cite this article
Brelot, M. A new proof of the fundamental theorem of Kellogg-Evans on the set of irregular points in the Dirichlet problem. Rend. Circ. Mat. Palermo 4, 112–122 (1955). https://doi.org/10.1007/BF02846030
Issue Date:
DOI: https://doi.org/10.1007/BF02846030