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Second order elliptic equations in several variables and Hölder continuity. (English) Zbl 0094.07802


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[1] Calderon, A. P., andA. Zygmund: On singular integrals. Amer. J. Math.78, 289-309 (1956). · Zbl 0072.11501 · doi:10.2307/2372517
[2] Giorgi, E. de: Sull’analyticita delle estremali degli integrali multipli. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8),20, 438-441 (1956). · Zbl 0074.31503
[3] Giorgi, E. de: Sulla differenziabilit? e l’analiticit? delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino, s. 3a,3, Parte I 25-43 (1957).
[4] Heinz, E.: ?ber die Eindeutigkeit beim Cauchyschen Anfangswertproblem einer elliptischen Differentialgleichung zweiter Ordnung. Nachr. Akad. Wiss. G?ttingen, Math.-phys. Kl. II a, No.1, 1-12 (1955).
[5] Miranda, C.: Equazioni alle derivate parziali di tipo ellittico. Berlin: Springer 1955. · Zbl 0065.08503
[6] Morrey jr., C. B.: On the solutions of quasilinear elliptic partial differential equations. Trans. Amer. Math. Soc.43, 126-166 (1938). · JFM 64.0460.02 · doi:10.1090/S0002-9947-1938-1501936-8
[7] Morrey jr., C. B.: Multiple integral problems in the calculus of variations and related topics. Univ. Calif. Publ. Math., New Ser.1, 1-130 (1943). · Zbl 0063.04107
[8] Morrey jr., C. B.: Second order elliptic systems of differential equations. Ann. of Math. Studies No. 33, pp. 101-159. Princeton Univ. Press 1954. · Zbl 0057.08301
[9] Morrey jr., C. B., andJames Eells jr.: A variational method in the theory of harmonic integrals I. Ann. of Math.63, 91-128 (1956). · Zbl 0070.09901 · doi:10.2307/1969992
[10] Nash, J.: Parabolic equations. Proc. Nat. Acad. Sci. U.S.A.43, 754-758 (1957). · Zbl 0078.08704 · doi:10.1073/pnas.43.8.754
[11] Nash, J.: Continuity of solutions of parabolic and elliptic equations. Amer. J. Math.80, 931-954 (1958). · Zbl 0096.06902 · doi:10.2307/2372841
[12] Plessis, N. du: Some theorems about the Riesz fractional integral. Trans. Amer. Math. Soc.80, 124-134 (1955). · Zbl 0067.28101
[13] Stampacchia, G.: Contributi alla regolarizzazione delle soluzioni dei problemi al contorno per equazioni del secondo ordine ellittiche. Ann. Scuo. Norm. Pisa, Ser. 3,12, 223-245 (1958). · Zbl 0082.09701
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