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On the boundary behaviour of the Perron generalized solution. (English) Zbl 0461.31003


MSC:

31B25 Boundary behavior of harmonic functions in higher dimensions
31B35 Connections of harmonic functions with differential equations in higher dimensions
35J67 Boundary values of solutions to elliptic equations and elliptic systems

Citations:

Zbl 0431.31011
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References:

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[8] Hyvönen, J.: On the harmonic continuation of bounded harmonic functions. Math. Ann.245, 151–157 (1979) · Zbl 0408.31007 · doi:10.1007/BF01428802
[9] Keldych, M.V.: On the resolutivity and the stability of Dirichlet problem (Russian). Uspechi Mat. Nauk8, 172–231 (1941)
[10] Köhn, J.: Harmonische Räume mit einer Basis semiregulärer Mengen. In: Seminar über Potentialtheorie. In: Lecture Notes in Mathematics, Vol. 69, pp. 1–12. Berlin, Heidelberg, New York: Springer 1968
[11] Köhn, J., Sieveking, M.: Reguläre und extremale Randpunkte in der Potentialtheorie. Rev. Roumaine Math. Pures Appl.12, 1489–1502 (1967) · Zbl 0158.12804
[12] Král, J.: Problem No 1 Časopis pěst. mat.97, 334 (1972)
[13] Lukeš, J.: Semiregulárni množiny v harmonických prostorech. Čas. Pěst. Mat.100, 195–197 (1975)
[14] Lukeš, J.: On the set of semiregular points. In: Potential theory Copenhagen 1979. Lecture Notes in Mathematics, Vol. 787, pp. 212–218. Berlin, Heidelberg, New York: Springer 1980
[15] Netuka, I.: Poznámka o semiregulárnich množinách. Čas. Pěst. Mat.98, 419–421 (1973)
[16] Smyrnélis, E.P.: Sur les limites fines des fonctions harmoniques et les suites maximales. Bull. Sc. Math.97, 161–175 (1973)
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