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Approximations de type Hedberg dans les espaces W m L log L Ω et applications

A. Benkirane

Annales de la Faculté des sciences de Toulouse : Mathématiques (1990)

  • Volume: 11, Issue: 2, page 67-78
  • ISSN: 0240-2963

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Benkirane, A.. "Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications." Annales de la Faculté des sciences de Toulouse : Mathématiques 11.2 (1990): 67-78. <http://eudml.org/doc/73260>.

@article{Benkirane1990,
author = {Benkirane, A.},
journal = {Annales de la Faculté des sciences de Toulouse : Mathématiques},
keywords = {approximation results of the Hedberg type; Orlicz-Sobolev space; action of some distributions in the dual; strongly nonlinear elliptic boundary value problems},
language = {fre},
number = {2},
pages = {67-78},
publisher = {UNIVERSITE PAUL SABATIER},
title = {Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications},
url = {http://eudml.org/doc/73260},
volume = {11},
year = {1990},
}

TY - JOUR
AU - Benkirane, A.
TI - Approximations de type Hedberg dans les espaces $W^m L \log L\left( \Omega \right)$ et applications
JO - Annales de la Faculté des sciences de Toulouse : Mathématiques
PY - 1990
PB - UNIVERSITE PAUL SABATIER
VL - 11
IS - 2
SP - 67
EP - 78
LA - fre
KW - approximation results of the Hedberg type; Orlicz-Sobolev space; action of some distributions in the dual; strongly nonlinear elliptic boundary value problems
UR - http://eudml.org/doc/73260
ER -

References

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  1. [1] Adams ( R.) .— Sobolev spaces, Acad. Press (1975) Zbl0314.46030MR450957
  2. [2] Adams ( R.) .— On the Orlicz-Sobolev Imbedding theorem, J. Func. Analysis, 24 (1977) pp. 241-257 Zbl0344.46077MR430770
  3. [3] Benkirane ( A.) . — Potentiel de Riesz et problèmes elliptiques dans les espaces d'Orlicz, Thèse de Doctorat, Université libre de Bruxelles (1988) 
  4. [4] Benkirane ( A.) and Gossez ( J.P.) .— An approximation theorem in higher order Orlicz-Sobolev spaces and applications, Studia Math., 92 (1989) pp. 231-255 Zbl0684.46030MR985555
  5. [5] Brézis ( H.) et Browder ( F.) .— Some properties of higher-order Sobolev spaces, J. Math. Pures Appl., 61 (1982) pp. 245-259 Zbl0512.46034MR690395
  6. [6] Donaldson ( T.) and Trudinger ( N.) .— Orlicz-Sobolev spaces and imbedding theorems, J. Funct. Anal., 8 (1971) pp. 52-75 Zbl0216.15702MR301500
  7. [7] Gossez ( J.P.) .— Nonlinear elliptic boundary value problems for equations with rapidly (or slowly) increasing coefficients, Trans. Amer. Soc., 190 (1974) pp. 163-2?? Zbl0239.35045MR342854
  8. [8] Gossez ( J.P.) . — Some approximation properties in Orlicz-Sobolev spaces, Studia Math., 74 (1982) pp. 17-24 Zbl0503.46018MR675429
  9. [9] Gossez ( J.P.) .— A strongly non linear elliptic boundary value problem, in Orlicz-Sobolev spacesProc. Sympos. Pure. Math., 45, Amer. Math. Soc. (1986) pp. 455-462 Zbl0602.35037MR843579
  10. [10] Hebderg ( L.) . — Two approximation properties in functions spaces, Ark. Math., 16 (1978) pp. 51-81 Zbl0399.46023
  11. [11] Hebderg ( L.) .— Approximation in Sobolev spaces and non linear potential theory, Proc. symp. Pur. Math. Amer. Math. Soc., 45 (1986) pp. 473-480 Zbl0626.46022MR843581
  12. [12] KRASNOLEK'SKII ( M.) and Rutickii ( VA.) .— Convex fonctions and Orlicz spaces, Noordhoff (1961) 
  13. [13] O'NEIL ( R.) .— Fractional intégration in Orlicz spaces, Trans. Amer. Math. Soc.115 (1965) pp. 300-328 Zbl0132.09201MR194881
  14. [14] Webb ( J.) . — Boundary value problems for strongly non linear elliptic equations, J. London Math. Soc.21 (1980) pp. 123-132 Zbl0438.35029MR576188

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