Extremal functions for the anisotropic Sobolev inequalities

A. El Hamidi; J. M. Rakotoson

Annales de l'I.H.P. Analyse non linéaire (2007)

  • Volume: 24, Issue: 5, page 741-756
  • ISSN: 0294-1449

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El Hamidi, A., and Rakotoson, J. M.. "Extremal functions for the anisotropic Sobolev inequalities." Annales de l'I.H.P. Analyse non linéaire 24.5 (2007): 741-756. <http://eudml.org/doc/78757>.

@article{ElHamidi2007,
author = {El Hamidi, A., Rakotoson, J. M.},
journal = {Annales de l'I.H.P. Analyse non linéaire},
keywords = {quasilinear problems; concentration-compactness; anisotropic Sobolev inequalities},
language = {eng},
number = {5},
pages = {741-756},
publisher = {Elsevier},
title = {Extremal functions for the anisotropic Sobolev inequalities},
url = {http://eudml.org/doc/78757},
volume = {24},
year = {2007},
}

TY - JOUR
AU - El Hamidi, A.
AU - Rakotoson, J. M.
TI - Extremal functions for the anisotropic Sobolev inequalities
JO - Annales de l'I.H.P. Analyse non linéaire
PY - 2007
PB - Elsevier
VL - 24
IS - 5
SP - 741
EP - 756
LA - eng
KW - quasilinear problems; concentration-compactness; anisotropic Sobolev inequalities
UR - http://eudml.org/doc/78757
ER -

References

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  3. [3] El Hamidi A., Rakotoson J.M., Compactness and quasilinear problems with critical exponents, Differential Integral Equations18 (2005) 1201-1220. Zbl1212.35113MR2174817
  4. [4] Fragala I., Gazzola F., Kawohl B., Existence and nonexistence results for anisotropic quasilinear elliptic equation, Ann. I. H. Poincaré Anal. Non Lineairé21 (2004) 715-734. Zbl1144.35378MR2086756
  5. [5] Lions P.L., The concentration-compactness principle in the calculus of variations. The limit case, part 1, Rev. Mat. Iberoamericana1 (1) (1985) 145-201. Zbl0704.49005MR834360
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  7. [7] Rakosnik J., Some remarks to anisotropic Sobolev spaces I, Beiträge zur Analysis13 (1979) 55-68. Zbl0399.46025MR536217
  8. [8] Rakosnik J., Some remarks to anisotropic Sobolev spaces II, Beiträge zur Analysis15 (1981) 127-140. Zbl0494.46034MR614784
  9. [9] Talenti G., Best constant in Sobolev inequality, Ann. Mat. Pura Appl.110 (4) (1976) 353-372. Zbl0353.46018MR463908
  10. [10] Troisi M., Teoremi di inclusione per spazi di Sobolev non isotropi, Ricerche Mat.18 (1969) 3-24. Zbl0182.16802MR415302
  11. [11] Ven'-tuan L., On embedding theorems for spaces of functions with partial derivatives of various degrees of summability, Vestnik Leningrad Univ.16 (1961) 23-37, (in Russian). Zbl0100.31803MR143020
  12. [12] Willem M., Minimax Theorems, Birkhäuser, 1996. Zbl0856.49001MR1400007
  13. [13] Yamabe H., On a deformation of Riemannian structures on compact manifolds, Osaka Math. J.12 (1960) 21-37. Zbl0096.37201MR125546

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