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Volumn 19, Issue 2, 2002, Pages 125-142

Elliptic equations with critical Sobolev exponents in dimension 3

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; FUNCTIONS; LAPLACE TRANSFORMS; PROBLEM SOLVING; THEOREM PROVING;

EID: 0347291901     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(02)00095-1     Document Type: Article
Times cited : (80)

References (22)
  • 2
    • 84972498579 scopus 로고
    • Problèmes isopérimétriques et espaces de Sobolev
    • Aubin T. Problèmes isopérimétriques et espaces de Sobolev. J. Differential Geom. 11:1976;573-598.
    • (1976) J. Differential Geom. , vol.11 , pp. 573-598
    • Aubin, T.1
  • 3
    • 84990619601 scopus 로고
    • Elliptic equations with limiting Sobolev exponents. The impact of topology
    • Brézis H. Elliptic equations with limiting Sobolev exponents. The impact of topology. Comm. Pure Appl. Math. 39:1986;17-39.
    • (1986) Comm. Pure Appl. Math. , vol.39 , pp. 17-39
    • Brézis, H.1
  • 4
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • Brézis H., Nirenberg L. Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents. Comm. Pure Appl. Math. 36:1983;437-477.
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 437-477
    • Brézis, H.1    Nirenberg, L.2
  • 5
    • 0001581738 scopus 로고
    • Asymptotics for elliptic equations involving critical Sobolev exponents
    • L. Modica, F. Colombini, A. Marino, & S. Spagnolo. Basel: Birkhaüser
    • Brézis H., Peletier L.A. Asymptotics for elliptic equations involving critical Sobolev exponents. Modica L., Colombini F., Marino A., Spagnolo S. Partial Differential Equations and the Calculus of Variations. 1989;Birkhaüser, Basel.
    • (1989) Partial Differential Equations and the Calculus of Variations
    • Brézis, H.1    Peletier, L.A.2
  • 7
    • 0033444350 scopus 로고    scopus 로고
    • The best constants problem in Sobolev inequalities
    • Druet O. The best constants problem in Sobolev inequalities. Math. Annalen. 314:1999;327-346.
    • (1999) Math. Annalen , vol.314 , pp. 327-346
    • Druet, O.1
  • 8
    • 84995333669 scopus 로고    scopus 로고
    • Optimal Sobolev inequalities and extremal functions, the three-dimensional case
    • to appear
    • O. Druet, Optimal Sobolev inequalities and extremal functions, The three-dimensional case, Indiana University Mathematics Journal (to appear).
    • Indiana University Mathematics Journal
    • Druet, O.1
  • 9
    • 0012080216 scopus 로고    scopus 로고
    • Asymptotic profile for the sub-extremals of the sharp Sobolev inequality on the sphere
    • Druet O., Robert F. Asymptotic profile for the sub-extremals of the sharp Sobolev inequality on the sphere. Comm. PDE. 26:(5-6):2001;743-778.
    • (2001) Comm. PDE , vol.26 , Issue.5-6 , pp. 743-778
    • Druet, O.1    Robert, F.2
  • 12
    • 84903853123 scopus 로고
    • Asymptotic approach to singular solutions for nonlinear elliptic equations involving critical Sobolev exponent
    • Han Z.C. 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.
    • (1991) Ann. I.H.P., Analyse Non-linéaire , vol.8 , Issue.2 , pp. 159-174
    • Han, Z.C.1
  • 13
    • 0037908161 scopus 로고    scopus 로고
    • Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth
    • Hebey E. Asymptotic behavior of positive solutions of quasilinear elliptic equations with critical Sobolev growth. J. Differential Integral Equations. 13:2000;1073-1080.
    • (2000) J. Differential Integral Equations , vol.13 , pp. 1073-1080
    • Hebey, E.1
  • 14
    • 84974004186 scopus 로고
    • The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds
    • Hebey E., Vaugon M. The best constant problem in the Sobolev embedding theorem for complete Riemannian manifolds. Duke Math. J. 79:1995;235-279.
    • (1995) Duke Math. J. , vol.79 , pp. 235-279
    • Hebey, E.1    Vaugon, M.2
  • 15
    • 0035536019 scopus 로고    scopus 로고
    • From best constants to critical functions
    • Hebey E., Vaugon M. From best constants to critical functions. Math. Z. 237:2001;737-767.
    • (2001) Math. Z. , vol.237 , pp. 737-767
    • Hebey, E.1    Vaugon, M.2
  • 16
    • 0001675486 scopus 로고
    • n and related problems, part I
    • n and related problems, part I. J. Differential Equations. 120:1995;319-420.
    • (1995) J. Differential Equations , vol.120 , pp. 319-420
    • Li, Y.Y.1
  • 17
    • 84972541914 scopus 로고
    • The conjectures on conformal transformations of Riemannian manifolds
    • Obata M. The conjectures on conformal transformations of Riemannian manifolds. J. Differential Geom. 6:1971;247-258.
    • (1971) J. Differential Geom. , vol.6 , pp. 247-258
    • Obata, M.1
  • 18
    • 0012057357 scopus 로고    scopus 로고
    • Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: The radial case
    • Robert F. Asymptotic behaviour of a nonlinear elliptic equation with critical Sobolev exponent: the radial case. Adv. Differential Equations. 6:(7):2001;821-846.
    • (2001) Adv. Differential Equations , vol.6 , Issue.7 , pp. 821-846
    • Robert, F.1
  • 19
    • 84972506352 scopus 로고
    • Conformal deformation of a Riemannian metric to constant scalar curvature
    • Schoen R. Conformal deformation of a Riemannian metric to constant scalar curvature. J. Differential Geom. 20:1984;479-495.
    • (1984) J. Differential Geom. , vol.20 , pp. 479-495
    • Schoen, R.1
  • 20
    • 0001768749 scopus 로고    scopus 로고
    • Prescribed scalar curvature on the n-sphere
    • Schoen R., Zhang D. Prescribed scalar curvature on the n -sphere. Calc. Var. PDE. 4:1996;1-25.
    • (1996) Calc. Var. PDE , vol.4 , pp. 1-25
    • Schoen, R.1    Zhang, D.2
  • 21
    • 0000220970 scopus 로고
    • A global compactness result for elliptic boundary value problems involving limiting nonlinearities
    • Struwe M. A global compactness result for elliptic boundary value problems involving limiting nonlinearities. Math. Z. 187:1984;511-517.
    • (1984) Math. Z. , vol.187 , pp. 511-517
    • Struwe, M.1
  • 22
    • 34250392866 scopus 로고
    • Best constants in Sobolev inequality
    • Talenti G. Best constants in Sobolev inequality. Ann. Math. Pura Appl. 110:1976;353-372.
    • (1976) Ann. Math. Pura Appl. , vol.110 , pp. 353-372
    • Talenti, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.