Loeb, Peter An axiomatic treatment of pairs of elliptic differential equations. (English) Zbl 0172.15101 Ann. Inst. Fourier 16, No. 2, 167-208 (1966). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 23 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] , and , On the Dirichlet Problem in the Axiomatic Theory of Harmonic Functions, Nagoya Math. Journ., 23 (1963), 73-96. · Zbl 0139.06603 [3] [3] , Intégration, Actualités Sci. Ind., 1175 (1952), Paris. · Zbl 0049.31703 [4] [4] , Une Axiomatique Générale du Problème de Dirichlet dans les Espaces Localement Compacts, Séminaire de Théorie du Potentiel (dirigé par M. Brelot et G. Choquet), 1957, 6-01-6-16. [5] [5] , Axiomatique des Fonctions Harmoniques et Surharmoniques dans un Espace Localement Compact, Séminaire de Théorie du Potentiel (dirigé par M. Brelot, G. Choquet et J. Deny), 1958, 1-01-1-40. [6] [6] , Lectures on Potentiel Theory, Tata Institute of Fundamental Research, Bombay, (1960). · Zbl 0098.06903 [7] [7] and , On the Axiomatic of Harmonic Functions I, Ann. Inst. Fourier, 13,2 (1963), 373-388. · Zbl 0122.34001 [8] [4] , Entire functions, Academic Press, New-York (1954). · Zbl 0099.29504 [9] [9] , Extreme Harmonic Functions and Boundary Value Problems, Ann. Inst. Fourier, 13,2 (1963), 307-356. · Zbl 0134.09503 [10] [10] , Recherches Axiomatiques sur la Théorie des Fonctions Surharmoniques et du Potentiel, Ann. Inst. Fourier, Grenoble, 12 (1962), 415-571. · Zbl 0101.08103 [11] [11] , Banach Spaces of Analytic Functions, Prentice-Hall, Inc., Englewood Cliffs, N. J., 1962. · Zbl 0117.34001 [12] [12] , Eine Neue Behandlung der Ersten Randwertaufgabe für ∆u = 0, Math. Z., 18 (1923), 42-54. · JFM 49.0340.01 [13] [13] , The Equation ∆u = Pu, and the Classification of Open Riemann Surfaces, Mathematica, Helsinki, 271 (1959). · Zbl 0096.05803 [14] [14] , Real Analysis, Macmillan, New York, 1963. · Zbl 0121.05501 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.