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Volumn 7, Issue 4, 2007, Pages 551-564

On a minimization problem involving the critical sobolev exponent

Author keywords

Critical sobolev exponent; Minimization problem; Nonlinear Schr dinger equation

Indexed keywords


EID: 36248934342     PISSN: 15361365     EISSN: None     Source Type: Journal    
DOI: 10.1515/ans-2007-0403     Document Type: Article
Times cited : (4)

References (12)
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  • 2
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    • H. Brézis, E. Lieb, A relation between pointwise convergence of functions and convergence of junctionals, Proc Amer. Math. Soc. 88 (3), 486-490 (1983)
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    • Brézis, H.1    Lieb, E.2
  • 3
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    • Positive solutions of nonlinear elliptic equations involving critical Sobolev exponents
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    • Brézis, H.1    Nirenberg, L.2
  • 5
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    • The concentration compactness principle in the calculus of variations. The limit case. I
    • PL. Lions, The concentration compactness principle in the calculus of variations. The limit case. I, Rev. Mat. Iberoamericana 1(1), 145-201 (1985)
    • (1985) Rev. Mat. Iberoamericana , vol.1 , Issue.1 , pp. 145-201
    • Lions, P.L.1
  • 6
    • 84972495996 scopus 로고
    • Convolution operators and L(p, q) spaces
    • R. O'Neil, Convolution operators and L(p, q) spaces, Duke Math. J. 30, 129-142 (1963)
    • (1963) Duke Math. J , vol.30 , pp. 129-142
    • O'Neil, R.1
  • 7
    • 84938102644 scopus 로고    scopus 로고
    • B. Ruf, Lorentz spaces and Nonlinear Elliptic Systems, Progr. Nonlin. Diff. Equ. 66, 471-489 (2005)
    • B. Ruf, Lorentz spaces and Nonlinear Elliptic Systems, Progr. Nonlin. Diff. Equ. 66, 471-489 (2005)
  • 8
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    • Best constant in Sobolev inequality
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  • 9
    • 0346410115 scopus 로고    scopus 로고
    • Embedding theorems of Sobolev spaces into Lorentz spaces, Boll. Unione Mat. Ital. Sez. B Artic Ric. Mat.
    • L. Tartar, Embedding theorems of Sobolev spaces into Lorentz spaces, Boll. Unione Mat. Ital. Sez. B Artic Ric. Mat. (8) 1 (3), 479-500 (1998)
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  • 10
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    • Remarks concerning the conformal deformation of Riemannnian structures on compact manifolds
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.