Bony, Jean-Michel Détermination des axiomatiques de théorie du potentiel dont les fonctions harmoniques sont différentiables. (French) Zbl 0164.14003 Ann. Inst. Fourier 17, No. 1, 353-382 (1967). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 9 Documents Keywords:partial differential equations × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML References: [1] [1] , Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen, Math. Annalen 146 (1962), 1-59. · Zbl 0107.08003 [2] [2] , Harmonische Raüme und ihre Potentialtheorie, Lecture notes in Mathematics — Springer Verlag (1966). · Zbl 0142.38402 [3] [3] , , , Axiomatic theorie of harmonic functions. Non negative superharmonic functions, Ann. Inst. Fourier, Grenoble, 15 1 (1965), 283, 312. · Zbl 0139.06604 [4] [4] , Axiomatique des fonctions harmoniques, les Presses de l’Université de Montréal (1966). · Zbl 0148.10401 [5] [5] , On the potential theory of linear homogeneous parabolic partial differential equations of second order, Symposium on Probability Methods in Analysis, Lecture notes in Mathematics 31, Springer-Verlag (1967). · Zbl 0168.08203 [6] [6] , Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel, Ann. Inst. Fourier, 12 (1962) 415.571. · Zbl 0101.08103 [7] [7] , A note on the maximum principle for elliptic differential equations, Bull. Amer. Math. Soc., 44 (1938), 268.271. · JFM 64.0462.02 [8] [8] , Espaces de Riesz complètement réticulés et ensembles équicontinus de fonctions harmoniques, Séminaire CHOQUET (Initiation à l’analyse), 5e année 1965/1966,n° 6. · Zbl 0165.14202 [9] [9] , Cours d’analyse mathématique II — Equations fonctionnelles, applications, 2e édition 1950 — Masson et Cie. · Zbl 0061.16607 [10] [10] , Modern Algebra, translated from the 2nd revised German edition, New York, Frederick Ungar (1950). · Zbl 0039.00902 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.