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On Bergman's kernel function for some uniformly elliptic partial differential equations


Author: G. G. Weill
Journal: Proc. Amer. Math. Soc. 16 (1965), 1299-1304
MSC: Primary 35.42
DOI: https://doi.org/10.1090/S0002-9939-1965-0188600-7
MathSciNet review: 0188600
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  • [1] L. Sario and G. G. Weill, Normal linear operators and second order elliptic partial differential equations. Trans. Amer. Math. Soc. 120 (1965), 225-235. MR 0192175 (33:402)
  • [2] H. Poincaré, Sur les équations de la physique mathématique, Rend. Circ. Mat. Palermo 8 (1894), 57-155.
  • [3] J. Moser, A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations, Comm. Pure Appl. Math. 13 (1960), 457-468. MR 0170091 (30:332)
  • [4] G. Fichera, Analisi esistenziale per le soluzioni dei problemi al contorno misti, relativi all 'equazione e ai sistemi di equazioni del secondo ordine di tipo ellittico autoaggiunti, Ann. Scuola Norm. Sup. Pisa (3) 1 (1947), 75-100. MR 0035370 (11:724a)
  • [5] -, Sulla ``Kernel functions,'' Boll. Un. Mat. Ital. 7 (1952), 4-15. MR 0049328 (14:156f)
  • [6] S. Bergman, Functions satisfying certain partial differential equations of elliptic type and their representation, Duke Math. J. 14 (1947), 349-366. MR 0022262 (9:181c)

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DOI: https://doi.org/10.1090/S0002-9939-1965-0188600-7
Article copyright: © Copyright 1965 American Mathematical Society

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