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Volumn 15, Issue 4, 2008, Pages 613-622

The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space

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EID: 53549091892     PISSN: 10732780     EISSN: None     Source Type: Journal    
DOI: 10.4310/MRL.2008.v15.n4.a1     Document Type: Article
Times cited : (76)

References (10)
  • 2
    • 23044523856 scopus 로고    scopus 로고
    • On the Grushin operator and hyperbolic symmetry
    • W. Beckner, On the Grushin operator and hyperbolic symmetry, Proc. Amer. Math. Soc. 129 (2000), 1233-1246.
    • (2000) Proc. Amer. Math. Soc , vol.129 , pp. 1233-1246
    • Beckner, W.1
  • 3
    • 84941275804 scopus 로고
    • A relation between pointwise convergence of functions and convergence of functionals
    • H. Brézis and E. H. Lieb, A relation between pointwise convergence of functions and convergence of functionals, Proc. Amer. Math. Soc. 88 (1983), 486-490.
    • (1983) Proc. Amer. Math. Soc , vol.88 , pp. 486-490
    • Brézis, H.1    Lieb, E.H.2
  • 4
    • 0013485911 scopus 로고
    • On the minimization of symmetric functionals
    • E. A. Carlen and M. Loss, On the minimization of symmetric functionals, Rev. Math. Phys. 6 (1994), 1011-1032.
    • (1994) Rev. Math. Phys , vol.6 , pp. 1011-1032
    • Carlen, E.A.1    Loss, M.2
  • 6
    • 0003286319 scopus 로고    scopus 로고
    • Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities
    • AMS, Providence, RI
    • E. Hebey, Nonlinear Analysis on Manifolds: Sobolev Spaces and Inequalities, Courant Lecture Notes in Mathematics Vol. 5, AMS, Providence, RI, 1999.
    • (1999) Courant Lecture Notes in Mathematics , vol.5
    • Hebey, E.1
  • 7
    • 0000298073 scopus 로고
    • Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
    • E. H. Lieb, Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities, Ann. Math. 118 (1983), 349-374.
    • (1983) Ann. Math , vol.118 , pp. 349-374
    • Lieb, E.H.1
  • 9
    • 0003796632 scopus 로고
    • Springer Verlag, Berlin New York
    • V. G. Maz'ya, Sobolev Spaces, Springer Verlag, Berlin New York, 1985.
    • (1985) Sobolev Spaces
    • Maz'ya, V.G.1
  • 10
    • 42949172611 scopus 로고    scopus 로고
    • On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality
    • A. Tertikas and K. Tintarev, On existence of minimizers for the Hardy-Sobolev-Maz'ya inequality, Ann. Mat. Pura Appl. (4) 186 (2007), no. 4, 645-662.
    • (2007) Ann. Mat. Pura Appl. (4) , vol.186 , Issue.4 , pp. 645-662
    • Tertikas, A.1    Tintarev, K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.