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On the Harnack inequality for linear elliptic equations. (English) Zbl 0070.32302


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[1] Bernstein, S., Ueber ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom elliptischen Typus, Math. Zeit., 26, 551-558 (1927) · JFM 53.0670.01 · doi:10.1007/BF01475472
[2] L. Bers and L. Nirenberg, On linear and non-linear elliptic boundary value problems in the plane,Convegno Internazionale sulle Equazioni Derivate Parziali, 1954, pp. 141-167. · Zbl 0067.32504
[3] Feller, W., Ueber die Lösungen der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Math. Ann., 102, 633-649 (1930) · JFM 56.0419.01 · doi:10.1007/BF01782367
[4] D. Gilbarg and J. Serrin, On isolated singularities of solutions of second order elliptic differential equations,J. d’Analyse Math. (following in this issue). · Zbl 0071.09701
[5] Hopf, E., Elementare Betrachtungen ueber die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus, Sitzungsberichte Preuss. Akad. Wiss., 19, 147-152 (1927) · JFM 53.0454.02
[6] Kellogg, O. D., Foundations of Potential Theory (1929), Berlin: Springer, Berlin · JFM 55.0282.01
[7] Lichtenstein, L., Beitraege zur Theorie der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Unendliche Folgen positiver Lösungen, Rend. Circ. Math. Palermo, 33, 201-211 (1912) · JFM 43.0448.01 · doi:10.1007/BF03015300
[8] C. B. Morrey, Second order elliptic systems of differential equations, in Contributions to the theory of partial differential equations,Ann. of Math. Studies No. 33, Princeton, 1954, pp. 101-159. · Zbl 0057.08301
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