The Dirichlet problem and weighted spaces. I.

Alois Kufner; Bohumír Opic

Časopis pro pěstování matematiky (1983)

  • Volume: 108, Issue: 4, page 381-408
  • ISSN: 0528-2195

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Kufner, Alois, and Opic, Bohumír. "The Dirichlet problem and weighted spaces. I.." Časopis pro pěstování matematiky 108.4 (1983): 381-408. <http://eudml.org/doc/21550>.

@article{Kufner1983,
author = {Kufner, Alois, Opic, Bohumír},
journal = {Časopis pro pěstování matematiky},
keywords = {weighted Sobolev space; Lax-Milgram theorem; existence; uniqueness; Dirichlet problem; coercivity},
language = {eng},
number = {4},
pages = {381-408},
publisher = {Mathematical Institute of the Czechoslovak Academy of Sciences},
title = {The Dirichlet problem and weighted spaces. I.},
url = {http://eudml.org/doc/21550},
volume = {108},
year = {1983},
}

TY - JOUR
AU - Kufner, Alois
AU - Opic, Bohumír
TI - The Dirichlet problem and weighted spaces. I.
JO - Časopis pro pěstování matematiky
PY - 1983
PB - Mathematical Institute of the Czechoslovak Academy of Sciences
VL - 108
IS - 4
SP - 381
EP - 408
LA - eng
KW - weighted Sobolev space; Lax-Milgram theorem; existence; uniqueness; Dirichlet problem; coercivity
UR - http://eudml.org/doc/21550
ER -

References

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  2. L. D. Kudrjavcev, Some properties of weight spaces and their applications, The Mathematics Student, 40, No. 1 (1972), 72-88. (1972) MR0420251
  3. 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. (1972) 
  4. A. Kufner, Weighted Sobolev Spaces, Teubner - Texte zur Mathematik, Band 31, Leipzig 1980. (1980) Zbl0455.46034MR0664599
  5. A. Kufner B. Opic, The Dirichlet problem and weighted spaces II, (to appear). Zbl0654.35039MR0853789
  6. И. B. Mupoшuн, Bнeшняя зaдaчa Диpиxлe для выpoждaющeгocя эллиптичecкoвo oпepaтopa, Tpyды Maт. инcтитyтa АH CCCP 150 (1979), 198-211. (1979) 
  7. J. Nečas, Les méthodes directes en théorie des équations elliptiques, Аcademia, Prague & Masson et Cie, Paris 1967. (1967) MR0227584
  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. (1975) 
  9. C. M. Huкoльcкuй, Пpиближeниe фyнкций мнoгиx пepeмeнныx и тeopeмы влoжeния, Hayкa, Mocквa 1977. (1977) 
  10. B. Opic, Über äquivalente Normen in Ѕobolevschen Räumen mit Belegungsfunktion, Сomment. Math. Univ. Сaгolinae 19 (1978), 227-248. (1978) Zbl0379.46027MR0493310
  11. K. Rektorys, Variational methods in mathematics, science and engineering, D. Reidel Publ. Сomp., Dordrecht-Boston 1977. (1977) Zbl0668.49001MR0487653
  12. B. H. Ceдoв, Hepeгyляpныe диффepeнциaльныé oпepaтopы, Эллиптичecкиe ypaвнeния. Диффepeнциaльныe ypaвнeния 8, ЈVs 11 (1972), 2048-2061. (1972) 
  13. M. M. Cмupнoв, Bыpoждaюrяиecя эллиптичecкиe и гипepбoличecкиe ypaвнeния, Hayкa, Mocквa 1966. (1966) 

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