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Literature cited
M. V. Keldysh, “On the solvability and stability of the Dirichlet problem,” Usp. Mat. Nauk,8, 171–230 (1941).
E. M. Landis, “The ɛ-capacity and its applications to the investigation of solutions of a second-order elliptic equation with discontinuous coefficients,” Mat. Sb.,76, No. 2, 186–213 (1966).
A. A. Novruzov, “Certain questions of the qualitative theory of second-order equations with nonnegative characteristic form,” Doctoral Dissertation, Baku (1972).
K. Miller, “Nonequivalence of regular boundary points for the Laplace and nondivergence equations even with continuous coefficients,” Ann. Scuola. Norm. Sup. Pisa (3),24, 335–358 (1970).
V. G. Maz'ya, “On the regularity on the boundary of solutions of elliptic equations and of a conformal mapping,” Dokl. Akad. Nauk SSSR,152, No. 6, 1297–1300 (1963).
E. M. Landis, “Uniqueness theorems for the solution of the Dirichlet problem for second-order elliptic equations,” Tr. Mosk. Mat. Obshch.,42, 50–63 (1981).
A. A. Novruzov, “On the Dirichlet problem for second-order elliptic equations,” Dokl. Akad. Nauk SSSR,246, No. 1, 11–14 (1979).
E. M. Landis, Second-order Equations of Elliptic and Parabolic Types [in Russian], Nauka, Moscow (1971).
L. Carleson, Selected Problems on Exceptional Sets, Van Nostrand, Princeton (1967).
C. Miranda, Partial Differential Equations of Elliptic Type, Springer-Verlag (1970).
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Translated from Matematicheskie Zametki, Vol. 34, No. 3, pp. 407–416, September, 1983.
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Ibragimov, A.I. Some qualitative theorems for degenerate elliptic equations. Mathematical Notes of the Academy of Sciences of the USSR 34, 688–693 (1983). https://doi.org/10.1007/BF01140350
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DOI: https://doi.org/10.1007/BF01140350