| Title:
|
On the identity of Keldych solutions (English) |
| Author:
|
Hansen, Wolfhard |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
35 |
| Issue:
|
4 |
| Year:
|
1985 |
| Pages:
|
632-638 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
31D05 |
| idZBL:
|
Zbl 0642.31005 |
| idMR:
|
MR809046 |
| DOI:
|
10.21136/CMJ.1985.102054 |
| . |
| Date available:
|
2008-06-09T15:07:52Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102054 |
| . |
| Reference:
|
[1] J. Bliedtner W. Hansen: Simplicial cones in potential theory.Inventiones math. 29 (1975), 83-110. MR 0387630, 10.1007/BF01390188 |
| Reference:
|
[2] J. Bliedtner W. Hansen: Cones of hyperharmonic functions.Math. Z. 151 (1976), 71 - 87. MR 0477099, 10.1007/BF01174726 |
| Reference:
|
[3] J. Bliedtner W. Hansen: Simplicial cones in potential theory II (approximation theorems).Inventiones math. 46 (1978), 255-275. MR 0492345, 10.1007/BF01390278 |
| Reference:
|
[4] J. Bliedtner W. Hansen: The weak Dirichlet problem.J. Reine Angew. Math. 348 (1984), 34-39. MR 0733921 |
| Reference:
|
[5] M. Brelot: Sur un théorème de prolongement fonctionnel de Keldych concernant le problème de Dirichlet.J. Analyse Math. 8 (1960/61), 273-288. MR 0125245, 10.1007/BF02786852 |
| Reference:
|
[6] W. Hansen: Convergence of balayage measures.Math. Ann. 264 (1983), 437-446. Zbl 0507.31003, MR 0716259, 10.1007/BF01456953 |
| Reference:
|
[7] W. Hansen: Harmonic and superharmonic functions on compact sets.Illinois J. Math., 29(1985), 103-107. Zbl 0545.31009, MR 0769760, 10.1215/ijm/1256045843 |
| Reference:
|
[8] J. Hyvönen: On the harmonic continuation of bounded harmonic functions.Math. Ann. 245(1979), 151-157. MR 0552584, 10.1007/BF01428802 |
| Reference:
|
[9] M. V. Keldych: On the solvability and stability of the Dirichlet problem.(in russian), Usp. Mat. Nauk SSSR 8 (1941), 171-231. MR 0005249 |
| Reference:
|
[10] J. Lukeš: Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques.Czech. Math. Journal 24 (1974), 114-125. MR 0350046 |
| Reference:
|
[11] J. Lukeš: Functional approach to the Brelot-Keldych theorem.Czech. Math. Journal 27 (1977), 609-616. MR 0588523 |
| Reference:
|
[12] J. Lukeš J. Malý: On the boundary behaviour of the Perron generalized solution.Math. Ann. 257 (1981), 355-366. MR 0637957, 10.1007/BF01456505 |
| Reference:
|
[13] J. Lukeš I. Netuka: The Wiener type solution of the Dirichlet problem in potential theory.Math. Ann. 224 (1976), 173-178. MR 0422652, 10.1007/BF01436200 |
| Reference:
|
[14] A. F. Monna: Het probleem van Dirichlet.Nieuw Arch. Wisk. 19 (1938), 249-256. |
| Reference:
|
[15] A. F. Monna: On the Dirichlet problem and the method of sweeping out.Nederl. Akad. Wetensch. Proc. 42 (1939), 491-498. Zbl 0023.04403 |
| Reference:
|
[16] I. Netuka: The classical Dirichlet problem and its generalizations.Potential theory Copenhagen 1979, In: Lecture Notes in Mathematics, Vol. 787, Berlin, Heidelberg, New York: Springer 1980. MR 0587843 |
| Reference:
|
[17] I. Netuka: The Dirichlet problem for harmonic functions.Amer. Math. Monthly 87 (1980), 621-628. Zbl 0454.31002, MR 0600920, 10.1080/00029890.1980.11995106 |
| Reference:
|
[18] N. Ninomiya: Sur le caractère fonctionelle de la solution du problème de Dirichlet.Math. J. Okayama Univ. 2 (1952), 41-48. MR 0052596 |
| Reference:
|
[19] H. Schirmeier U. Schirmeier: Einige Bemerkungen über den Satz von Keldych.Math. Ann. 236 (1978), 245-254. MR 0504660, 10.1007/BF01351370 |
| . |
