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Volumn 217, Issue 5, 2008, Pages 2005-2044

Moser-Trudinger trace inequalities

Author keywords

Isoperimetric inequalities; Limiting Sobolev inequalities; Rearrangements; Sharp constants

Indexed keywords


EID: 38849154370     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2007.09.007     Document Type: Article
Times cited : (47)

References (37)
  • 1
    • 38849167696 scopus 로고
    • Traces of potentials II
    • Adams D.R. Traces of potentials II. Indiana Univ. Math. J. 22 (1973) 907-918
    • (1973) Indiana Univ. Math. J. , vol.22 , pp. 907-918
    • Adams, D.R.1
  • 2
    • 0000968678 scopus 로고
    • A sharp inequality of J. Moser for higher order derivatives
    • Adams D.R. A sharp inequality of J. Moser for higher order derivatives. Ann. of Math. 128 (1988) 385-398
    • (1988) Ann. of Math. , vol.128 , pp. 385-398
    • Adams, D.R.1
  • 3
    • 43449108837 scopus 로고    scopus 로고
    • A. Alberico, Moser type inequalities for higher-order derivatives in Lorentz spaces, Potential Anal., in press
    • A. Alberico, Moser type inequalities for higher-order derivatives in Lorentz spaces, Potential Anal., in press
  • 4
    • 21344435908 scopus 로고    scopus 로고
    • Moser-type inequalities in Lorentz spaces
    • Alvino A., Ferone V., and Trombetti G. Moser-type inequalities in Lorentz spaces. Potential Anal. 5 (1996) 273-299
    • (1996) Potential Anal. , vol.5 , pp. 273-299
    • Alvino, A.1    Ferone, V.2    Trombetti, G.3
  • 6
    • 0142024051 scopus 로고    scopus 로고
    • Fundamental solution for the Q-Laplacian and sharp Moser-Trudinger inequality in Carnot groups
    • Balogh Z.M., Manfredi J.J., and Tyson J.T. Fundamental solution for the Q-Laplacian and sharp Moser-Trudinger inequality in Carnot groups. J. Funct. Anal. 204 (2003) 35-49
    • (2003) J. Funct. Anal. , vol.204 , pp. 35-49
    • Balogh, Z.M.1    Manfredi, J.J.2    Tyson, J.T.3
  • 7
    • 0000759151 scopus 로고
    • Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
    • Beckner W. Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality. Ann. of Math. 138 (1993) 213-242
    • (1993) Ann. of Math. , vol.138 , pp. 213-242
    • Beckner, W.1
  • 9
    • 0001611867 scopus 로고
    • On the existence of an extremal function for an inequality of J. Moser
    • Carleson L., and Chang S.Y.A. On the existence of an extremal function for an inequality of J. Moser. Bull. Sci. Math. 110 (1986) 113-127
    • (1986) Bull. Sci. Math. , vol.110 , pp. 113-127
    • Carleson, L.1    Chang, S.Y.A.2
  • 11
    • 0002363057 scopus 로고
    • Cas d'exception du theoréme d'inclusion de Sobolev sur les variétés riemanniennes et applications
    • Cherrier P. Cas d'exception du theoréme d'inclusion de Sobolev sur les variétés riemanniennes et applications. Bull. Sci. Math. (2) 105 (1981) 235-288
    • (1981) Bull. Sci. Math. (2) , vol.105 , pp. 235-288
    • Cherrier, P.1
  • 12
    • 23244434397 scopus 로고    scopus 로고
    • Moser-Trudinger inequalities without boundary conditions and isoperimetric problems
    • Cianchi A. Moser-Trudinger inequalities without boundary conditions and isoperimetric problems. Indiana Univ. Math. J. 54 (2005) 669-705
    • (2005) Indiana Univ. Math. J. , vol.54 , pp. 669-705
    • Cianchi, A.1
  • 13
  • 14
    • 0039248898 scopus 로고    scopus 로고
    • Best constants for Moser-Trudinger inequalities on the Heisenberg group
    • Cohn W.S., and Lu G. Best constants for Moser-Trudinger inequalities on the Heisenberg group. Indiana Univ. Math. J. 50 (2001) 1567-1591
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 1567-1591
    • Cohn, W.S.1    Lu, G.2
  • 15
    • 0036215548 scopus 로고    scopus 로고
    • On an inequality by N. Trudinger and J. Moser and related elliptic equations
    • de Figuereido D.G., do Ó J.M., and Ruf B. On an inequality by N. Trudinger and J. Moser and related elliptic equations. Comm. Pure Appl. Math. 55 (2002) 135-152
    • (2002) Comm. Pure Appl. Math. , vol.55 , pp. 135-152
    • de Figuereido, D.G.1    do Ó, J.M.2    Ruf, B.3
  • 17
    • 0041294154 scopus 로고    scopus 로고
    • Moser-type inequalities for solutions of linear elliptic equations with lower-order terms
    • Ferone A., Ferone V., and Volpicelli R. Moser-type inequalities for solutions of linear elliptic equations with lower-order terms. Differential Integral Equations 10 (1997) 1031-1048
    • (1997) Differential Integral Equations , vol.10 , pp. 1031-1048
    • Ferone, A.1    Ferone, V.2    Volpicelli, R.3
  • 18
    • 51249167010 scopus 로고
    • Extremal functions for Trudinger-Moser inequality in 2 dimensions
    • Flucher M. Extremal functions for Trudinger-Moser inequality in 2 dimensions. Comment. Math. Helv. 67 (1992) 471-497
    • (1992) Comment. Math. Helv. , vol.67 , pp. 471-497
    • Flucher, M.1
  • 19
    • 51249162406 scopus 로고
    • Sharp borderline Sobolev inequalities on compact Riemannian manifolds
    • Fontana L. Sharp borderline Sobolev inequalities on compact Riemannian manifolds. Comment. Math. Helv. 68 (1993) 415-454
    • (1993) Comment. Math. Helv. , vol.68 , pp. 415-454
    • Fontana, L.1
  • 20
    • 0000657482 scopus 로고
    • Weighted inequalities for monotone and concave functions
    • Heinig H., and Maligranda L. Weighted inequalities for monotone and concave functions. Studia Math. 116 (1995) 133-165
    • (1995) Studia Math. , vol.116 , pp. 133-165
    • Heinig, H.1    Maligranda, L.2
  • 21
    • 19844371830 scopus 로고    scopus 로고
    • n for functions with mean value zero
    • n for functions with mean value zero. Comm. Pure Appl. Math. 58 (2005) 789-798
    • (2005) Comm. Pure Appl. Math. , vol.58 , pp. 789-798
    • Leckband, M.1
  • 22
    • 18244387695 scopus 로고    scopus 로고
    • Moser-Trudinger inequality on the boundary of compact Riemann surface
    • Li Y., and Liu P. Moser-Trudinger inequality on the boundary of compact Riemann surface. Math. Z. 250 (2005) 363-386
    • (2005) Math. Z. , vol.250 , pp. 363-386
    • Li, Y.1    Liu, P.2
  • 23
    • 0003360649 scopus 로고    scopus 로고
    • Analysis
    • Amer. Math. Soc., Providence, RI
    • Lieb E.H., and Loss M. Analysis. Grad. Stud. Math. vol. 14 (1997), Amer. Math. Soc., Providence, RI
    • (1997) Grad. Stud. Math. , vol.14
    • Lieb, E.H.1    Loss, M.2
  • 24
    • 21344447692 scopus 로고    scopus 로고
    • Extremal functions for Moser's inequality
    • Lin K.C. Extremal functions for Moser's inequality. Trans. Amer. Math. Soc. 348 (1996) 2663-2671
    • (1996) Trans. Amer. Math. Soc. , vol.348 , pp. 2663-2671
    • Lin, K.C.1
  • 25
    • 0041294215 scopus 로고
    • Some limit cases in estimates for solutions of second order elliptic equations
    • Liskevich V.A. Some limit cases in estimates for solutions of second order elliptic equations. Houston J. Math. 19 (1993) 661-673
    • (1993) Houston J. Math. , vol.19 , pp. 661-673
    • Liskevich, V.A.1
  • 28
    • 0001173833 scopus 로고
    • A sharp form of an inequality by Trudinger
    • Moser J. A sharp form of an inequality by Trudinger. Indiana Univ. Math. J. 20 (1971) 1077-1092
    • (1971) Indiana Univ. Math. J. , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 29
    • 84972495996 scopus 로고
    • Convolution operators in L (p, q) spaces
    • O'Neil R. Convolution operators in L (p, q) spaces. Duke Math. J. 30 (1963) 129-142
    • (1963) Duke Math. J. , vol.30 , pp. 129-142
    • O'Neil, R.1
  • 30
    • 0001469934 scopus 로고
    • Espaces d' interpolation et théorème de Soboleff
    • Peetre J. Espaces d' interpolation et théorème de Soboleff. Ann. Inst. Fourier 16 (1966) 279-317
    • (1966) Ann. Inst. Fourier , vol.16 , pp. 279-317
    • Peetre, J.1
  • 31
    • 38849138803 scopus 로고    scopus 로고
    • S.I. Pohozhaev, On the imbedding Sobolev theorem for p l = n, in: Dokl. Conference, Section Math. Moscow Power Inst., 1965, pp. 158-170 (in Russian)
    • S.I. Pohozhaev, On the imbedding Sobolev theorem for p l = n, in: Dokl. Conference, Section Math. Moscow Power Inst., 1965, pp. 158-170 (in Russian)
  • 33
    • 0040367809 scopus 로고
    • *
    • General Inequalities, 6. Oberwolfach, 1990, Birkhäuser, Basel
    • *. General Inequalities, 6. Oberwolfach, 1990. Internat. Ser. Numer. Math. vol. 103 (1992), Birkhäuser, Basel 175-182
    • (1992) Internat. Ser. Numer. Math. , vol.103 , pp. 175-182
    • Talenti, G.1
  • 34
    • 0000453612 scopus 로고
    • On imbeddings into Orlicz spaces and some applications
    • Trudinger N.S. On imbeddings into Orlicz spaces and some applications. J. Math. Mech. 17 (1967) 473-483
    • (1967) J. Math. Mech. , vol.17 , pp. 473-483
    • Trudinger, N.S.1
  • 35
    • 0000221324 scopus 로고
    • Some estimates connected with integral operators and with solutions of elliptic equations
    • English translation:
    • Yudovic V.I. Some estimates connected with integral operators and with solutions of elliptic equations. Dokl. Akad. Nauk SSSR 138 (1961) 804-808 English translation:
    • (1961) Dokl. Akad. Nauk SSSR , vol.138 , pp. 804-808
    • Yudovic, V.I.1
  • 36
    • 0005635418 scopus 로고
    • Some estimates connected with integral operators and with solutions of elliptic equations
    • Yudovic V.I. Some estimates connected with integral operators and with solutions of elliptic equations. Soviet Math. Dokl. 2 (1961) 746-749
    • (1961) Soviet Math. Dokl. , vol.2 , pp. 746-749
    • Yudovic, V.I.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.