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Regolarita alla frontiera di soluzioni di equazioni ellittiche. (Italian) Zbl 0135.15402


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[1] Agmon, S.; Douglis, A.; Nirenberg, L., Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions, Comm. pure appl. math., 12, 623-727 (1959) · Zbl 0093.10401
[2] L. Bers - L. Nirenberg,On linear and non-linear elliptic boundary value problems in the plane, « Convegno Int. Eq. a derivate parz. » Trieste 1954.
[3] Caccioppoli, R., Sulle equazioni ellittiche a derivate parziali con n variabili indipendenti, Rend. Acc. Lincei, 19, 83-89 (1934) · JFM 60.1128.01
[4] De Giorgi, E., Sulla differenziabilità e l’analiticità delle estremali degli integrali multipli regolari, Mem. Acc. Sc. Torino, III, 25-43 (1957) · Zbl 0084.31901
[5] Finn, R.; Serrin, J., On the Hölder continuity of quasi-conformal and elliptic mappings, Trans. Amer. Math. Soc., 89, 1-15 (1958) · Zbl 0082.29401 · doi:10.2307/1993129
[6] Herné, R., Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potential, Ann. Ist. Fourier, Grenoble, 12, 415-57 (1962) · Zbl 0101.08103
[7] Kellog, O., On the derivatives of harmonic functions on the boundary, Trans. Amer. Math. Soc., 33, 486-510 (1931) · JFM 57.0569.01 · doi:10.2307/1989419
[8] H. Lebesgue,Sur des cas d’impossibilité du probleme de Dirichlet, « Comptes Rendus de la Soc. Math. de France » (1913). · JFM 44.0456.01
[9] Littman; Stampacchia; Weinberger, Regular points for elliptic equations with discontinuous coefficients, Annali Scuola Norm. Pisa, III, 17, 45-79 (1963) · Zbl 0116.30302
[10] C. Miranda,Equazioni alle derivate parziali di tipo ellittico, « Ergeb. der Math. Sprin. ger » Verlag Berlin (1955). · Zbl 0065.08503
[11] Moser, J., On Harnack theorem for elliptic differential equations, Comm. Pure Applied Math., 14, 577-591 (1961) · Zbl 0111.09302
[12] Nash, J., Continuity of the solutions of parabolic and elliptic equations, Amer. J. Math., 80, 931-954 (1959) · Zbl 0096.06902
[13] Nirenberg, L., On non-linear elliptic partial differential equations and Hölder continuity, Comm. pure appl. math., 6, 103-155 (1953) · Zbl 0050.09801
[14] Oleinik, O., Sul problema di Dirichlet per le equazioni di tipo ellittico, Math. Sbr. N. S., 24, 66, 3-14 (1949)
[15] C. Pucci,Sulle funzioni barriera, « Le Matematiche » 1963.
[16] – –,Lectures on the Cauchy Problem and on Second Order Elliptic Equations « National Science Foundation, Summer Institute in Applied Math. » Rice University 1963.
[17] Püschel, W., Dier erste Randverttaufgabe der allgemeinen sebbstradjungierten elliptischen Differentialgleichung zweiter Ordnung fur beliebige Gebiete, Math. Zeit, 34, 535-553 (1931) · Zbl 0003.20801 · doi:10.1007/BF01180608
[18] Schauder, J., Über lineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z., 38, 267-282 (1934) · Zbl 0008.25502 · doi:10.1007/BF01170635
[19] Tautz, G., Zur Theorie der ersten Randwertanfgabe, Math. Nach., 2, 279-303 (1949) · Zbl 0037.07001
[20] Wiener, N., The Dirichlet problem, J. Math. and Phys., 3, 127-146 (1924) · JFM 51.0361.01
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