References
Carleson, L., Selected Problems on Exceptional Sets. Uppsala 1961.
Gilbarg, D., & J. Serrin, On isolated singularities of solutions of second order elliptic differential equations. J. d'Analyse Math. 4, 309–340 (1956).
Kellogg, O. D., Foundations of Potential Theory. Berlin: Springer 1929.
Ladyzhenskaya, O. A., & N. N. Uraltseva, Quasi-linear elliptic equations and variational problems with many independent variables. Uspehi Mat. Nauk 16, 19–92 (1961); translated in Russian Math. Surveys 16, 17–91 (1961).
Littman, W., G. Stampacchia, & H. Weinberger, Regular points for elliptic equations with discontinuous coefficients. Ann. Scuola Norm. Sup. Pisa, Ser. III 17, 45–79 (1963).
Nirenberg, L., On elliptic partial differential equations. Ann. Scuola Norm. Sup. Pisa 13, 1–48 (1959).
Picone, M., Sur la théorie d'un équation aux dérivées partielles classique de la physique mathématique. Comptes Rendus, Paris 226, 1945–1947 (1948). Cf. also, Sulle singularità delle soluzioni di una classica equazione a derivate parziali delle fisica matematica. Atti 3∘ Congr. U.M.I., pp. 69–71, Rome, 1951.
Schauder, J., Über lineare elliptische Differentialgleichungen zweiter Ordnung. Math. Z. 38, 257–282 (1934).
Serrin, J., On the Harnack inequality for linear elliptic equations. J. d'Analyse Math. 4, 292–308 (1956).
Serrin, J., Local behavior of solutions of quasi-linear equations. Acta Math. (to appear).
Wallin, H., A connection between α-capacity and L p classes of differentiate functions. Arkiv för Matematik (to appear).
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This work was partially supported by the Air Force Office of Scientific Research and Development under Grant No. AF-AFOSR-372-63.
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Serrin, J. Removable singularities of solutions of elliptic equations. Arch. Rational Mech. Anal. 17, 67–78 (1964). https://doi.org/10.1007/BF00283867
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DOI: https://doi.org/10.1007/BF00283867