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- W2149795997 abstract "Communications on Pure and Applied MathematicsVolume 13, Issue 2 p. 167-182 Article On mappings of multiply connected domains by solutions of partial differential equations Seymour V. Parter, Seymour V. Parter Indiana UniversitySearch for more papers by this author Seymour V. Parter, Seymour V. Parter Indiana UniversitySearch for more papers by this author First published: May 1960 https://doi.org/10.1002/cpa.3160130202Citations: 7AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Bibliography 1 Bers, L., and Nirenberg, L., On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications, Convergno Internazionale sulle Equazioni Lineari alle Parziali, Agosto, 1954, Edizioni Cremonese, Roma, 1955, pp. 111–140. 2 Bers, L., Univalent solutions of linear elliptic systems, Comm. Pure Appl. Math., Vol. 6, 1953, pp. 513–526. 3 Boyarskii, B. V., Homeomorphic solutions of Beltrami systems, Doklady Akad. Nauk SSSR, Vol. 102, 1955, pp. 661–664. 4 Boyarskii, B. V., On solutions of a linear elliptic system of differential equations in the plane, Doklady Akad. Nauk SSSR, Vol. 102, 1955, pp. 871–874. 5 Courant, R., Dirichlet's Principle, Interscience Publishers, New York, 1950. 6 Dressel, F. G., and Gergen, J. J., Mappings by p-regular functions, Duke Math. J., Vol. 19, 1952, pp. 435–444. 7 Hopf, E., A remark on linear elliptic differential equations of second order, Proc. Amer. Math. Soc, Vol. 3, 1952, pp. 791–793. 8 Lee, C. Y., Similarity principle with boundary conditions for pseudoanalytic functions, Duke Math. J., Vol. 23, 1956, pp. 157–163. 9 Lavrent'ev, M. A., A general problem of the theory of quasi-conformal representations of plane regions, Mat. Sbornik, Vol. 21, 1947, pp. 285–320. 10 Morrey, C. B., On the solutions of quasi-linear elliptic partial differential equations, Trans. Amer. Math. Soc., Vol. 43, 1938, pp. 126–166. 11 Riesz, F., and Nagy, B., Functional Analysis, F. Unger Publishing Co., New York, 1955. 12 Schapiro, Z., Sur l'existence des représentations quasi-conformes, Doklady Akad. Nauk SSSR, Vol. 30, 1941, pp. 676–692. 13 Schauder, J., Der Fixpunktsatz im Funktionalraum, Studia Math., Vol. 2, Fasc. 4, 1930, pp. 171–180. 14 Vekua, I. N., The problem of reducing differential forms of elliptic type to canonical form and the generalized Cauchy-Riemann system, Doklady Akad. Nauk SSSR, Vol. 100, 1935, pp. 197–200. Citing Literature Volume13, Issue2May 1960Pages 167-182 ReferencesRelatedInformation" @default.
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