| Title:
|
The Dirichlet problem and weighted spaces. I. (English) |
| Author:
|
Kufner, Alois |
| Author:
|
Opic, Bohumír |
| Language:
|
English |
| Journal:
|
Časopis pro pěstování matematiky |
| ISSN:
|
0528-2195 |
| Volume:
|
108 |
| Issue:
|
4 |
| Year:
|
1983 |
| Pages:
|
381-408 |
| . |
| Category:
|
math |
| . |
| MSC:
|
35G15 |
| idZBL:
|
Zbl 0579.35013 |
| idMR:
|
MR727537 |
| DOI:
|
10.21136/CPM.1983.118184 |
| . |
| Date available:
|
2009-09-23T09:22:56Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118184 |
| . |
| Reference:
|
[1] R. A. Adams: Equivalent norms foг Sobolev spaces.Pacific J. Math. 32 (1970), 1-7. |
| Reference:
|
[2] L. D. Kudrjavcev: Some properties of weight spaces and their applications.The Mathematics Student, 40, No. 1 (1972), 72-88. MR 0420251 |
| Reference:
|
[З] Л. Д. Kyдpявцeв: Cвoйcтвa гpaничныx знaчeний фyнкций из вecoвыx пpocтpaнcтв и иx пpилoжeния к кpaeвым зaдaчaм.Mexaникa cплoшнoй cpeды и poдcтвeнныe пpoблeмы aнaлизa. Mocквa 1972, 259-265. |
| Reference:
|
[4] A. Kufner: Weighted Sobolev Spaces.Teubner - Texte zur Mathematik, Band 31, Leipzig 1980. Zbl 0455.46034, MR 0664599 |
| Reference:
|
[5] A. Kufner B. Opic: The Dirichlet problem and weighted spaces II.(to appear). MR 0853789 |
| Reference:
|
[6] И. B. Mupoшuн: Bнeшняя зaдaчa Диpиxлe для выpoждaющeгocя эллиптичecкoвo oпepaтopa.Tpyды Maт. инcтитyтa АH CCCP 150 (1979), 198-211. |
| Reference:
|
[7] J. Nečas: Les méthodes directes en théorie des équations elliptiques.Аcademia, Prague & Masson et Cie, Paris 1967. MR 0227584 |
| Reference:
|
[8] S. M. Nikolskij: On a boundary value problem of the fìrst kind with a strong degeneracy.Ѕoviet. Мath. Dokl. 16 (1975), No. З, 625-627. |
| Reference:
|
[9] C. M. Huкoльcкuй: Пpиближeниe фyнкций мнoгиx пepeмeнныx и тeopeмы влoжeния.Hayкa, Mocквa 1977. |
| Reference:
|
[10] B. Opic: Über äquivalente Normen in Ѕobolevschen Räumen mit Belegungsfunktion.Сomment. Math. Univ. Сaгolinae 19 (1978), 227-248. MR 0493310 |
| Reference:
|
[11] K. Rektorys: Variational methods in mathematics, science and engineering.D. Reidel Publ. Сomp., Dordrecht-Boston 1977. MR 0487653 |
| Reference:
|
[12] B. H. Ceдoв: Hepeгyляpныe диффepeнциaльныé oпepaтopы.Эллиптичecкиe ypaвнeния. Диффepeнциaльныe ypaвнeния 8, ЈVs 11 (1972), 2048-2061. |
| Reference:
|
[13] M. M. Cмupнoв: Bыpoждaюrяиecя эллиптичecкиe и гипepбoличecкиe ypaвнeния.Hayкa, Mocквa 1966. |
| . |
