@article{AIHPC_2002__19_2_125_0, author = {Druet, Olivier}, title = {Elliptic equations with critical {Sobolev} exponents in dimension 3}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, pages = {125--142}, publisher = {Elsevier}, volume = {19}, number = {2}, year = {2002}, mrnumber = {1902741}, zbl = {1011.35060}, language = {en}, url = {http://www.numdam.org/item/AIHPC_2002__19_2_125_0/} }
TY - JOUR AU - Druet, Olivier TI - Elliptic equations with critical Sobolev exponents in dimension 3 JO - Annales de l'I.H.P. Analyse non linéaire PY - 2002 SP - 125 EP - 142 VL - 19 IS - 2 PB - Elsevier UR - http://www.numdam.org/item/AIHPC_2002__19_2_125_0/ LA - en ID - AIHPC_2002__19_2_125_0 ER -
Druet, Olivier. Elliptic equations with critical Sobolev exponents in dimension 3. Annales de l'I.H.P. Analyse non linéaire, Volume 19 (2002) no. 2, pp. 125-142. http://www.numdam.org/item/AIHPC_2002__19_2_125_0/
[1] Elliptic equations with nearly critical growth, J. Differential Equations 70 (1987) 349-365. | MR | Zbl
, ,[2] Problèmes isopérimétriques et espaces de Sobolev, J. Differential Geom. 11 (1976) 573-598. | MR | Zbl
,[3] Elliptic equations with limiting Sobolev exponents. The impact of topology, Comm. Pure Appl. Math. 39 (1986) 17-39. | MR | Zbl
,[4] Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents, Comm. Pure Appl. Math. 36 (1983) 437-477. | MR | Zbl
, ,[5] Asymptotics for elliptic equations involving critical Sobolev exponents, in: , , , (Eds.), Partial Differential Equations and the Calculus of Variations, Birkhaüser, Basel, 1989. | MR | Zbl
, ,[6] Compactness of isospectral conformal metrics in S3, Comment. Math. Helv. 64 (1989) 363-374. | MR | Zbl
, ,[7] The best constants problem in Sobolev inequalities, Math. Annalen 314 (1999) 327-346. | MR | Zbl
,[8] O. Druet, Optimal Sobolev inequalities and extremal functions, The three-dimensional case, Indiana University Mathematics Journal (to appear). | MR | Zbl
[9] Asymptotic profile for the sub-extremals of the sharp Sobolev inequality on the sphere, Comm. PDE 26 (5-6) (2001) 743-778. | MR | Zbl
, ,[10] Symmetry of positive solutions of nonlinear elliptic equations in Rn, in: (Ed.), Mathematical Analysis and Applications, Academic Press, 1981, pp. 370-401. | MR | Zbl
, , ,[11] Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1977. | MR | Zbl
, ,[12] Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent, Ann. I.H.P., Analyse non-linéaire 8 (2) (1991) 159-174. | Numdam | MR | Zbl
,[13] Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth, J. Differential Integral Equations 13 (2000) 1073-1080. | MR | Zbl
,[14] The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds, Duke Math. J. 79 (1995) 235-279. | MR | Zbl
, ,[15] From best constants to critical functions, Math. Z. 237 (2001) 737-767. | MR | Zbl
, ,[16] Prescribing scalar curvature on Sn and related problems, part I, J. Differential Equations 120 (1995) 319-420. | MR | Zbl
,[17] The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom. 6 (1971) 247-258. | MR | Zbl
,[18] Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: the radial case, Adv. Differential Equations 6 (7) (2001) 821-846. | MR | Zbl
,[19] Conformal deformation of a Riemannian metric to constant scalar curvature, J. Differential Geom. 20 (1984) 479-495. | MR | Zbl
,[20] Prescribed scalar curvature on the n-sphere, Calc. Var. PDE 4 (1996) 1-25. | MR | Zbl
, ,[21] A global compactness result for elliptic boundary value problems involving limiting nonlinearities, Math. Z. 187 (1984) 511-517. | MR | Zbl
,[22] Best constants in Sobolev inequality, Ann. Math. Pura Appl. 110 (1976) 353-372. | MR | Zbl
,