| Title:
|
Théorème de Keldych dans la théorie axiomatique de Bauer des fonctions harmoniques (French) |
| Title:
|
Keldysh theorem in Bauer's axiomatic theory of harmonic functions (English) |
| Author:
|
Lukeš, Jaroslav |
| Language:
|
French |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
24 |
| Issue:
|
1 |
| Year:
|
1974 |
| Pages:
|
114-125 |
| Summary lang:
|
French |
| . |
| Category:
|
math |
| . |
| MSC:
|
31D05 |
| idZBL:
|
Zbl 0308.31010 |
| idMR:
|
MR0350046 |
| DOI:
|
10.21136/CMJ.1974.101222 |
| . |
| Date available:
|
2008-06-09T14:05:40Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101222 |
| . |
| Reference:
|
[1] H. Bauer: Axiomatische Behandlung des Dirichletschen Problems für elliptische und parabolische Differentialgleichungen.Math. Ann. 146 (1962), 1 - 59. Zbl 0107.08003, MR 0144064, 10.1007/BF01396667 |
| Reference:
|
[2] H. Bauer: Propriétés finies des fonctions hyperharmoniques dans une théorie axiomatique du potentiel.Ann. Inst. Fourier 15 (1965), 137-154. MR 0190359, 10.5802/aif.201 |
| Reference:
|
[3] H. Bauer: Harmonische Räume und ihre Potentialtheorie.Lecture Notes in Mathematics, vol. 22, Springer-Verlag, Berlin-New York, 1966. Zbl 0142.38402, MR 0210916, 10.1007/BFb0075363 |
| Reference:
|
[4] N. Boboc A. Cornea: Espaces harmoniques. Axiome D et théorème de convergence.Rev. Roum. Math. Pures Appl. 13 (1968), 933-947. MR 0237807 |
| Reference:
|
[5] N. Bourbaki: Eléments de mathématique, Intégration.Livre VI, $2^{eme}$ edition, Herman, Paris, 1965. MR 0219684 |
| Reference:
|
[6] 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:
|
[7] M. Brelot: Axiomatique des fonctions harmoniques.Université de Montréal, 1966. Zbl 0148.10401, MR 0247124 |
| Reference:
|
[8] M. Brelot: Eléments de la théorie classique du potentiel.C.D.U. Paris,$ 4^e$ édition, 1969. |
| Reference:
|
[9] M. Brelot: On topologies and boundaries in potential theory.Lecture Notes in Mathematics, vol. 175, Springer-Verlag, Berlin-New York, 1971. Zbl 0222.31014, MR 0281940 |
| Reference:
|
[10] G. Choquet: Lecture on Analysis.W. A. Benjamin, New York, 1969. |
| Reference:
|
[11] C. Constantinescu: An example of harmonic space.Rev. Roum. Math. Pures Appl. 10 (1965), 267-270. Zbl 0135.15603, MR 0183890 |
| Reference:
|
[12] C. Constantinescu: Some properties of the balayage of measures on a harmonic space.Ann. Inst. Fourier 17 (1967), 273-293. Zbl 0159.40804, MR 0227449, 10.5802/aif.257 |
| Reference:
|
[13] E. G. Effros J. L. Kazdan: Applications of Choquet simplexes to elliptic and parabolic boundary value problems.J. Diff. Equations 8 (1970), 95-134. MR 0259577, 10.1016/0022-0396(70)90040-9 |
| Reference:
|
[14] R. M. Hervé: Recherches axiomatiques sur la théorie des fonctions surharmoniques et du potentiel.Ann. Inst. Fourier 12 (1962), 415-571. MR 0139756, 10.5802/aif.125 |
| Reference:
|
[15] M. V. Keldych: On the solvability and stability of the Dirichlet problem.(en russe), Usp. Mat. Nauk SSSR 8 (1941), 171-231. |
| Reference:
|
[16] J. Köhn M. Sieveking: Reguläre und extremale Randpunkte in der Potentialtheorie.Rev. Roum. Math. Pures Appl. 12 (1967), 1489-1502. MR 0232960 |
| Reference:
|
[17] A. F. Monna: Note sur le problème de Dirichlet.Nieuw Arch. Wiskunde 19 (1971), 58-64. Zbl 0207.10901, MR 0310273 |
| . |
