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Volumn 37, Issue 1, 2005, Pages 119-125

On the existence of extremals for the Sobolev trace embedding theorem with critical exponent

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EID: 21644463564     PISSN: 00246093     EISSN: 14692120     Source Type: Journal    
DOI: 10.1112/S0024609304003819     Document Type: Article
Times cited : (20)

References (16)
  • 1
    • 0141741787 scopus 로고
    • Positive solution for Neumann problem with critical non linearity on boundary
    • S. L. Y. ADIMURTHI, 'Positive solution for Neumann problem with critical non linearity on boundary', Comm. Partial Differential Equations 16 (1991) 1733-1760.
    • (1991) Comm. Partial Differential Equations , vol.16 , pp. 1733-1760
    • Adimurthi, S.L.Y.1
  • 2
    • 0001596880 scopus 로고
    • Équations différentielles non linéaires et le problème de Yamabe concernant la courbure scalaire
    • T. AUBIN, 'Équations différentielles non linéaires et le problème de Yamabe concernant la courbure scalaire', J. Math. Pures et Appl. 55 (1976) 269-296.
    • (1976) J. Math. Pures et Appl. , vol.55 , pp. 269-296
    • Aubin, T.1
  • 3
    • 84972498579 scopus 로고
    • Problèmes isopérimétriques et espaces de Sobolev
    • T. AUBIN, '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
  • 4
    • 0038823993 scopus 로고    scopus 로고
    • Best constants in Sobolev trace inequalities
    • R. J. BIEZUNER, 'Best constants in Sobolev trace inequalities', Nonlinear Analysis 54 (2003) 575-589.
    • (2003) Nonlinear Analysis , vol.54 , pp. 575-589
    • Biezuner, R.J.1
  • 5
    • 84990613834 scopus 로고
    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
    • H. BREZIS and L. NIRENBERG, '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
    • Brezis, H.1    Nirenberg, L.2
  • 6
    • 0036864863 scopus 로고    scopus 로고
    • The AB program in geometric analysis: Sharp Sobolev inequalities and related problems
    • O. DRUET and E. HEBEY, 'The AB program in geometric analysis: sharp Sobolev inequalities and related problems', Mem. Amer. Math. Soc. 160 (2002).
    • (2002) Mem. Amer. Math. Soc. , vol.160
    • Druet, O.1    Hebey, E.2
  • 7
    • 0001256961 scopus 로고
    • Sharp constant in a Sobolev trace inequality
    • J. F. ESCOBAR, 'Sharp constant in a Sobolev trace inequality', Indiana Math. J. 37 (1988) 687-698.
    • (1988) Indiana Math. J. , vol.37 , pp. 687-698
    • Escobar, J.F.1
  • 8
    • 1542749460 scopus 로고    scopus 로고
    • Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains
    • J. FERNÁNDEZ BONDER and J. D. ROSSI, 'Asymptotic behavior of the best Sobolev trace constant in expanding and contracting domains', Comm. Pure Appl. Anal. 1 (2002) 359-378.
    • (2002) Comm. Pure Appl. Anal. , vol.1 , pp. 359-378
    • Bonder, J.F.1    Rossi, J.D.2
  • 11
    • 34250271532 scopus 로고
    • Symmetry and related properties via maximum principle
    • B. GIDAS, W. M. NI and L. NIRENBERG, 'Symmetry and related properties via maximum principle', Comm. Math. Phys. 68 (1979) 209-243.
    • (1979) Comm. Math. Phys. , vol.68 , pp. 209-243
    • Gidas, B.1    Ni, W.M.2    Nirenberg, L.3
  • 12
    • 0039500609 scopus 로고    scopus 로고
    • Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries
    • Y. LI and M. ZHU, 'Sharp Sobolev trace inequalities on Riemannian manifolds with boundaries', Comm. Pure Appl. Math. 50 (1997) 449-487.
    • (1997) Comm. Pure Appl. Math. , vol.50 , pp. 449-487
    • Li, Y.1    Zhu, M.2
  • 13
    • 0013078894 scopus 로고    scopus 로고
    • Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains
    • M. DEL PINO and C. FLORES, 'Asymptotic behavior of best constants and extremals for trace embeddings in expanding domains', Comm. Partial Differential Equations 26 (2001) 2189-2210.
    • (2001) Comm. Partial Differential Equations , vol.26 , pp. 2189-2210
    • Del Pino, M.1    Flores, C.2
  • 14
    • 33846445540 scopus 로고
    • Regularity for a more general class of quasilinear elliptic equations
    • P. TOLKSDORF, 'Regularity for a more general class of quasilinear elliptic equations', J. Differential Equations 51 (1984) 126-150.
    • (1984) J. Differential Equations , vol.51 , pp. 126-150
    • Tolksdorf, P.1
  • 15
    • 0001335714 scopus 로고
    • A strong maximum principle for some quasilinear elliptic equations
    • J. L. VAZQUEZ, 'A strong maximum principle for some quasilinear elliptic equations', Appl. Math. Optim. 12 (1984) 191-202.
    • (1984) Appl. Math. Optim. , vol.12 , pp. 191-202
    • Vazquez, J.L.1
  • 16
    • 84972561687 scopus 로고
    • On a deformation of Riemannian structures on compact mainfolds
    • H. YAMABE, 'On a deformation of Riemannian structures on compact mainfolds', Osaka Math. J. 12 (1960) 21-37.
    • (1960) Osaka Math. J. , vol.12 , pp. 21-37
    • Yamabe, H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.