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Volumn 123, Issue , 2001, Pages 61-92

Sobolev inequalities of exponential type

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EID: 0013499323     PISSN: 00212172     EISSN: 15658511     Source Type: Journal    
DOI: 10.1007/BF02784120     Document Type: Article
Times cited : (21)

References (24)
  • 1
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    • Adams, D.R.1
  • 5
    • 0038892511 scopus 로고    scopus 로고
    • Some results in the theory of Orlicz spaces and applications to variational problems
    • Prague, May 31-June 6, 1999, Olympia Press, Prague
    • A. Cianchi, Some results in the theory of Orlicz spaces and applications to variational problems, in Proceedings of the Spring School 'Nonlinear Analysis, Function Spaces and Applications', Prague, May 31-June 6, 1999, Olympia Press, Prague, 1999, pp. 50-92.
    • (1999) Proceedings of the Spring School 'Nonlinear Analysis, Function Spaces and Applications' , pp. 50-92
    • Cianchi, A.1
  • 12
    • 0032193079 scopus 로고    scopus 로고
    • Isoperimetric inequalities and imbedding theorems in irregular domains
    • P. Hajlasz and P. Koskela, Isoperimetric inequalities and imbedding theorems in irregular domains, Journal of the London Mathematical Society (2) 58 (1998), 425-450.
    • (1998) Journal of the London Mathematical Society , vol.58 , Issue.2 , pp. 425-450
    • Hajlasz, P.1    Koskela, P.2
  • 14
  • 17
    • 0002631048 scopus 로고
    • Whitney cubes, p-capacity, and Minkowski content
    • O. Martio and M. Vuorinen, Whitney cubes, p-capacity, and Minkowski content, Expositiones Mathematicae 5 (1987), 17-40.
    • (1987) Expositiones Mathematicae , vol.5 , pp. 17-40
    • Martio, O.1    Vuorinen, M.2
  • 18
    • 0039484044 scopus 로고    scopus 로고
    • Exponential integrability for Riesz potentials of functions in Orlicz classes
    • Y. Mizuta and T. Shimomura, Exponential integrability for Riesz potentials of functions in Orlicz classes, Hiroshima Mathematical Journal 28 (1998), 355-371.
    • (1998) Hiroshima Mathematical Journal , vol.28 , pp. 355-371
    • Mizuta, Y.1    Shimomura, T.2
  • 19
    • 0001173833 scopus 로고
    • A sharp form of an inequality by N. Trudinger
    • J. Moser, A sharp form of an inequality by N. Trudinger, Indiana University Mathematics Journal 20 (1971), 1077-1092.
    • (1971) Indiana University Mathematics Journal , vol.20 , pp. 1077-1092
    • Moser, J.1
  • 21
    • 0013554641 scopus 로고
    • Sobolev imbeddings and integrability of harmonic functions on Hölder domains
    • Nagoya, 1990, de Gruyter, Berlin
    • W. Smith and D. Stegenga, Sobolev imbeddings and integrability of harmonic functions on Hölder domains, in Potential Theory (Nagoya, 1990), de Gruyter, Berlin, 1992, pp. 303-313.
    • (1992) Potential Theory , pp. 303-313
    • Smith, W.1    Stegenga, D.2
  • 22
    • 0001030020 scopus 로고
    • A note on Trudinger's extension of Sobolev inequality
    • R. S. Strichartz, A note on Trudinger's extension of Sobolev inequality, Indiana University Mathematics Journal 21 (1972), 841-842.
    • (1972) Indiana University Mathematics Journal , vol.21 , pp. 841-842
    • Strichartz, R.S.1
  • 23
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    • On imbeddings into Orlicz spaces and some applications
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    • (1967) Journal of Mathematics and Mechanics , vol.17 , pp. 473-483
    • Trudinger, N.S.1


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