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Volumn 7, Issue 4, 2005, Pages 413-448

Moser-Trudinger and logarithmic HLS inequalities for systems

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EID: 23744484879     PISSN: 14359855     EISSN: None     Source Type: Journal    
DOI: 10.4171/JEMS/34     Document Type: Article
Times cited : (44)

References (20)
  • 1
    • 0000461632 scopus 로고
    • Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire
    • Zbl 0411.46019 MR 0534672
    • Aubin, T.: Meilleures constantes dans le théorème d'inclusion de Sobolev et un théorème de Fredholm non linéaire pour la transformation conforme de la courbure scalaire. J. Funct. Anal. 32, 148-174 (1979) Zbl 0411.46019 MR 0534672
    • (1979) J. Funct. Anal. , vol.32 , pp. 148-174
    • Aubin, T.1
  • 2
    • 84972558536 scopus 로고
    • Spherical rearrangements, subharmonic functions, and *-functions in n-space
    • Zbl 0331.31002 MR 0402083
    • Baernstein, A., Taylor, B. A.: Spherical rearrangements, subharmonic functions, and *-functions in n-space. Duke Math. J. 43, 245-268 (1976) Zbl 0331.31002 MR 0402083
    • (1976) Duke Math. J. , vol.43 , pp. 245-268
    • Baernstein, A.1    Taylor, B.A.2
  • 3
    • 0000759151 scopus 로고
    • Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
    • Zbl 0826.58042 MR 1230930 MR 1473855
    • Beckner, W.: Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Ann. of Math. 128, 213-242 (1993) Zbl 0826.58042 MR 1230930 MR 1473855
    • (1993) Ann. of Math. , vol.128 , pp. 213-242
    • Beckner, W.1
  • 5
  • 6
    • 21844521950 scopus 로고
    • Conformally invariant systems of nonlinear PDE of Liouville type
    • Zbl 0858.35035 MR 1361515
    • Chanillo, S., Kiessling, M. K.-H.: Conformally invariant systems of nonlinear PDE of Liouville type. Geom. Func. Anal. 5, 924-947 (1995) Zbl 0858.35035 MR 1361515
    • (1995) Geom. Func. Anal. , vol.5 , pp. 924-947
    • Chanillo, S.1    Kiessling, M.K.-H.2
  • 7
    • 0031563750 scopus 로고    scopus 로고
    • On the solutions of Liouville systems
    • Erratum, loc. cit. 178, 630 (2002) Zbl 0902.35039 MR 1473855
    • Chipot, M., Shafrir, I., Wolansky, G.: On the solutions of Liouville systems. J. Differential Equations 140, 59-105 (1997); Erratum, loc. cit. 178, 630 (2002) Zbl 0902.35039 MR 1473855
    • (1997) J. Differential Equations , vol.140 , pp. 59-105
    • Chipot, M.1    Shafrir, I.2    Wolansky, G.3
  • 9
    • 51249162406 scopus 로고
    • Sharp borderline Sobolev inequalities on compact Riemannian manifolds
    • Zbl 0844.58082 MR 1236762
    • Fontana, L.: Sharp borderline Sobolev inequalities on compact Riemannian manifolds. Comment. Math. Helv. 68, 415-454 (1993) Zbl 0844.58082 MR 1236762
    • (1993) Comment. Math. Helv. , vol.68 , pp. 415-454
    • Fontana, L.1
  • 10
    • 84968494937 scopus 로고
    • A best constant and the Gaussian curvature
    • Zbl 0603.58056 MR 0845999
    • Hong, C.: A best constant and the Gaussian curvature. Proc. Amer. Math. Soc. 97, 737-747 (1986) Zbl 0603.58056 MR 0845999
    • (1986) Proc. Amer. Math. Soc. , vol.97 , pp. 737-747
    • Hong, C.1
  • 11
    • 0035537782 scopus 로고    scopus 로고
    • Analytic aspects of the Toda system. I. A Moser-Trudinger inequality
    • Zbl pre01860529 MR 1846799
    • Jost, J., Wang, G.: Analytic aspects of the Toda system. I. A Moser-Trudinger inequality. Comm. Pure Appl. Math. 54, 1289-1319 (2001) Zbl pre01860529 MR 1846799
    • (2001) Comm. Pure Appl. Math. , vol.54 , pp. 1289-1319
    • Jost, J.1    Wang, G.2
  • 12
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • Zbl 0527.42011 MR 0717827
    • Lieb, E. H.: Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities. Ann. of Math. 118, 349-374 (1983) Zbl 0527.42011 MR 0717827
    • (1983) Ann. of Math. , vol.118 , pp. 349-374
    • Lieb, E.H.1
  • 13
    • 0001173833 scopus 로고
    • A sharp form of an inequality by N. Trudinger
    • Zbl 0213.13001 MR 0301504
    • Moser, J.: A sharp form of an inequality by N. Trudinger. Indiana Univ. Math. J. 20, 1077-1092 (1971) Zbl 0213.13001 MR 0301504
    • (1971) Indiana Univ. Math. J. , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 14
    • 0032270026 scopus 로고    scopus 로고
    • On a sharp Sobolev type inequality on two dimensional compact manifolds
    • Zbl 0980.46022 MR 1664542
    • Nolasco, M., Tarantello, G.: On a sharp Sobolev type inequality on two dimensional compact manifolds. Arch. Rat. Mech. Anal. 145, 161-195 (1998) Zbl 0980.46022 MR 1664542
    • (1998) Arch. Rat. Mech. Anal. , vol.145 , pp. 161-195
    • Nolasco, M.1    Tarantello, G.2
  • 15
    • 0001339558 scopus 로고
    • On the positivity of the effective action in a theory of random surfaces
    • Zbl 0506.47031 MR 0677001
    • Onofri, E.: On the positivity of the effective action in a theory of random surfaces. Comm. Math. Phys. 86, 321-326 (1982) Zbl 0506.47031 MR 0677001
    • (1982) Comm. Math. Phys. , vol.86 , pp. 321-326
    • Onofri, E.1
  • 16
    • 0000193161 scopus 로고
    • Extremals of determinants of Laplacians
    • Zbl 0653.53022 MR 0960228
    • Osgood, B., Phillips, R., Sarnak, P.: Extremals of determinants of Laplacians. J. Funct. Anal. 80, 148-211 (1988) Zbl 0653.53022 MR 0960228
    • (1988) J. Funct. Anal. , vol.80 , pp. 148-211
    • Osgood, B.1    Phillips, R.2    Sarnak, P.3
  • 17
    • 0003221535 scopus 로고
    • Potential theory in the complex plane
    • Cambridge Univ. Press Zbl 0828.31001 MR 1334766
    • Ransford, R.: Potential Theory in the Complex Plane. London Math. Soc. Student Texts 28, Cambridge Univ. Press (1995) Zbl 0828.31001 MR 1334766
    • (1995) London Math. Soc. Student Texts , vol.28
    • Ransford, R.1
  • 18
    • 0042369154 scopus 로고    scopus 로고
    • Moser-Trudinger type inequalities for systems in two dimensions
    • Zbl pre01686428 MR 1859233
    • Shafrir, I., Wolansky, G.: Moser-Trudinger type inequalities for systems in two dimensions. C. R. Acad. Sci. Paris Sér. I Math. 333, 439-443 (2001) Zbl pre01686428 MR 1859233
    • (2001) C. R. Acad. Sci. Paris Sér. I Math. , vol.333 , pp. 439-443
    • Shafrir, I.1    Wolansky, G.2
  • 19
    • 24344471712 scopus 로고    scopus 로고
    • The logarithmic HLS inequality for systems on compact manifolds
    • to appear
    • Shafrir, I., Wolansky, G.: The logarithmic HLS inequality for systems on compact manifolds. J. Funct. Anal., to appear
    • J. Funct. Anal.
    • Shafrir, I.1    Wolansky, G.2
  • 20
    • 0033562019 scopus 로고    scopus 로고
    • Moser-Trudinger inequalities and Liouville systems
    • MR 1689869 Zbl 0933.37064
    • Wang, G.: Moser-Trudinger inequalities and Liouville systems. C. R. Acad. Sci. Paris Sér. I Math. 328, 895-900 (1999) MR 1689869 Zbl 0933.37064
    • (1999) C. R. Acad. Sci. Paris Sér. I Math. , vol.328 , pp. 895-900
    • Wang, G.1


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