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

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[1] S. Bernstein, Ueber ein geometrisches Theorem und seine Anwendung auf die partiellen Differentialgleichungen vom elliptischen Typus,Math. Zeit., 26 (1927) pp. 551–558. · JFM 53.0670.01
[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.
[3] W. Feller, Ueber die Lösungen der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus.Math. Ann. 102 (1930), pp. 633–649. · JFM 56.0419.01
[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] E. Hopf. Elementare Betrachtungen ueber die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus,Sitzungsberichte Preuss. Akad. Wiss. 19 (1927), pp. 147–152. · JFM 53.0454.02
[6] O. D. Kellogg. Foundations of Potential Theory, Springer, Berlin 1929. · JFM 55.0282.01
[7] L. Lichtenstein, Beitraege zur Theorie der linearen partiellen Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Unendliche Folgen positiver Lösungen,Rend. Circ. Math. Palermo, 33 (1912), pp. 201–211. · JFM 43.0448.01
[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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