A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight d M ϵ

Aleš Nekvinda; Luboš Pick

Commentationes Mathematicae Universitatis Carolinae (1988)

  • Volume: 029, Issue: 1, page 63-71
  • ISSN: 0010-2628

How to cite

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Nekvinda, Aleš, and Pick, Luboš. "A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon _M$." Commentationes Mathematicae Universitatis Carolinae 029.1 (1988): 63-71. <http://eudml.org/doc/17596>.

@article{Nekvinda1988,
author = {Nekvinda, Aleš, Pick, Luboš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = { coefficients; weighted Sobolev space; outer vertical cone property; geometric properties; distance function},
language = {eng},
number = {1},
pages = {63-71},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon _M$},
url = {http://eudml.org/doc/17596},
volume = {029},
year = {1988},
}

TY - JOUR
AU - Nekvinda, Aleš
AU - Pick, Luboš
TI - A note on the Dirichlet problem for the elliptic linear operator in Sobolev spaces with weight $d^\epsilon _M$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1988
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 029
IS - 1
SP - 63
EP - 71
LA - eng
KW - coefficients; weighted Sobolev space; outer vertical cone property; geometric properties; distance function
UR - http://eudml.org/doc/17596
ER -

References

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  1. HARDY G. H., LITTLEWOOD J. E., PÓLYA G., Inequalities, Univ. Press, Cambridge 1952. (1952) MR0046395
  2. KUFNER A., Weighted Sobolev Spaces, John Wiley & sons, Ltd., Chichester - New York - Brisbane - Toronto - Singapore 1985. (1985) Zbl0579.35021MR0802206
  3. NEČAS J., Les méthodes directes en théorie des équations elliptiques, Academia, Prague 1967. (1967) MR0227584
  4. STEIN E., Singular integrals and differentiability properties of functions, Princreton University Press, Princeton 1970. (1970) Zbl0207.13501MR0290095
  5. VOLDŘICH J., Application of weighted Sobolev spaces to elliptic boundary value problems, (Czech.) PhD. theses, Math. Inst. Czech. Acad. Sci., Prague 1986. (1986) 

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