메뉴 건너뛰기




Volumn 23, Issue 3, 1996, Pages 575-608

Continuity Properties of Functions from Orlicz-Sobolev Spaces and Embedding Theorems

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0039852734     PISSN: 0391173X     EISSN: 20362145     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (71)

References (27)
  • 1
    • 0003796630 scopus 로고
    • [Ad1] Academic Press, New York
    • [Ad1] R.A. ADAMS, Sobolev Spaces, Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • ADAMS, R.A.1
  • 2
    • 0006418163 scopus 로고
    • On the Orlicz-Sobolev imbedding theorem
    • [Ad2]
    • [Ad2] R.A. ADAMS, On the Orlicz-Sobolev imbedding theorem, J. Funct. Anal. 24 (1977), 241-257.
    • (1977) J. Funct. Anal , vol.24 , pp. 241-257
    • ADAMS, R.A.1
  • 3
    • 0001002414 scopus 로고
    • On optimization problems with prescribed rearrangements
    • [ALT]
    • [ALT] A. ALVINO - P.L. LIONS - G. TROMBETTI, On optimization problems with prescribed rearrangements, Nonlinear Anal. 13 (1989), 185-220.
    • (1989) Nonlinear Anal , vol.13 , pp. 185-220
    • ALVINO, A.1    LIONS, P.L.2    TROMBETTI, G.3
  • 4
    • 84972498579 scopus 로고
    • Problèms isopérimetriques et espaces de Sobolev
    • [Au]
    • [Au] T. AUBIN, Problèms isopérimetriques et espaces de Sobolev, J. Differential Geom. 11 (1976), 573-598.
    • (1976) J. Differential Geom , vol.11 , pp. 573-598
    • AUBIN, T.1
  • 5
    • 0002572462 scopus 로고
    • A unified approach to symmetrization
    • [B] in: (A. Alvino, E. Fabes and G. Talenti, eds), Symposia Mathematica 35, Cambridge Univ. Press, Cambridge
    • [B] A. BAERNSTEIN II, A unified approach to symmetrization, in: "Partial Differential Equations of Elliptic Type" (A. Alvino, E. Fabes and G. Talenti, eds.), Symposia Mathematica 35, Cambridge Univ. Press, Cambridge 1994,47-91.
    • (1994) Partial Differential Equations of Elliptic Type , pp. 47-91
    • BAERNSTEIN, A.1
  • 6
    • 0004008967 scopus 로고
    • Interpolation of operators
    • [BS] Academic Press, Boston
    • [BS] C. BENNETT - R. SHARPLEY, Interpolation of operators, Pure and Appl. Math. Vol. 129, Academic Press, Boston, 1988.
    • (1988) Pure and Appl. Math , vol.129
    • BENNETT, C.1    SHARPLEY, R.2
  • 7
    • 0039265444 scopus 로고
    • Weighted inequalities of Hardy type in general ideal spaces
    • [Be]
    • [Be] E.I. BEREZHNOI, Weighted inequalities of Hardy type in general ideal spaces, Soviet. Math. Dokl. 43 (1991), 492-495.
    • (1991) Soviet. Math. Dokl , vol.43 , pp. 492-495
    • BEREZHNOI, E.I.1
  • 8
    • 84972549618 scopus 로고
    • Indices for the Orlicz spaces
    • [Bo]
    • [Bo] D.W. BOYD, Indices for the Orlicz spaces, Pacific J. Math. 38 (1971), 315-323.
    • (1971) Pacific J. Math , vol.38 , pp. 315-323
    • BOYD, D.W.1
  • 9
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • [BZ]
    • [BZ] J.E. BROTHERS - W.P. ZIEMER, Minimal rearrangements of Sobolev functions, J. Reine Angew Math. 384 (1988), 153-179.
    • (1988) J. Reine Angew Math , vol.384 , pp. 153-179
    • BROTHERS, J.E.1    ZIEMER, W.P.2
  • 10
    • 0039775682 scopus 로고
    • One relative isoperimetric inequalities in the plane
    • [C1]
    • [C1] A. CiANCHI, One relative isoperimetric inequalities in the plane, Boll. Un. Mat. Ital. A (7) 3-B (1989), 289-325.
    • (1989) Boll. Un. Mat. Ital. A , vol.3-B , Issue.7 , pp. 289-325
    • CiANCHI, A.1
  • 11
    • 0001644136 scopus 로고
    • A sharp form of Poincaré type inequalities on balls and spheres
    • [C2]
    • [C2] A. QANCHI, A sharp form of Poincaré type inequalities on balls and spheres, Z. Angew. Math. Phys. 40 (1989), 558-569.
    • (1989) Z. Angew. Math. Phys , vol.40 , pp. 558-569
    • QANCHI, A.1
  • 12
    • 0039272310 scopus 로고    scopus 로고
    • On weighted Poincaré inequaiities
    • [CEG]
    • [CEG] A. QANCHI - D.E. EDMUNDS - P. GURKA, On weighted Poincaré inequaiities, Math. Nachr. 180 (1996), 15-41.
    • (1996) Math. Nachr , vol.180 , pp. 15-41
    • QANCHI, A.1    EDMUNDS, D.E.2    GURKA, P.3
  • 13
    • 49649151832 scopus 로고
    • Orlicz-Sobolev spaces and imbedding theorems
    • [DT]
    • [DT] T.K. DONALDSON - N.S. TRUDINGER, Orlicz-Sobolev spaces and imbedding theorems, J. Funct. Anal. 8 (1971), 52-75.
    • (1971) J. Funct. Anal , vol.8 , pp. 52-75
    • DONALDSON, T.K.1    TRUDINGER, N.S.2
  • 14
    • 0001821243 scopus 로고
    • Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces
    • [EGO]
    • [EGO] D.E. EDMUNDS - P. GURKA - B. OPIC, Double exponential integrability of convolution operators in generalized Lorentz-Zygmund spaces, Indiana Univ. Math. J. 45 (1995).
    • (1995) Indiana Univ. Math. J , vol.45
    • EDMUNDS, D.E.1    GURKA, P.2    OPIC, B.3
  • 15
    • 85129774262 scopus 로고    scopus 로고
    • Some remarks on Sobolev imbeddings in borderline cases
    • [FLS] to appear in
    • [FLS] N. Fusco - P.L. LIONS - C. SBORDONE, Some remarks on Sobolev imbeddings in borderline cases, to appear in Proc. Amrr. Math. Soc.
    • Proc. Amrr. Math. Soc
    • Fusco, N.1    LIONS, P.L.2    SBORDONE, C.3
  • 16
    • 0002253992 scopus 로고
    • Inégalités isopérimétriques et analitiques sur les variétés riemanniennes
    • [G]
    • [G] S. GALLOT, Inégalités isopérimétriques et analitiques sur les variétés riemanniennes, Asterisque n. 163 (1988), 31-91.
    • (1988) Asterisque , vol.163 , pp. 31-91
    • GALLOT, S.1
  • 17
    • 0005553320 scopus 로고
    • On the sharpness of a limiting case of the Sobolev imbedding theorem
    • [HMT]
    • [HMT] J.A. HEMPEL - G.R. MORIIS - N.S. TRUDINGER, On the sharpness of a limiting case of the Sobolev imbedding theorem, Bull. Auttral. Math. Soc. 3 (1970), 369-373.
    • (1970) Bull. Auttral. Math. Soc , vol.3 , pp. 369-373
    • HEMPEL, J.A.1    MORIIS, G.R.2    TRUDINGER, N.S.3
  • 19
    • 0003796632 scopus 로고
    • [M] Springer-Verlag, Berlin
    • [M] V.M. MA'JA, Sobolev spaces, Springer-Verlag, Berlin, 1985.
    • (1985) Sobolev spaces
    • MA'JA, V.M.1
  • 20
    • 0001460959 scopus 로고
    • Fractional integration in Orlicz spaces
    • [O]
    • [O] O'NEILL, Fractional integration in Orlicz spaces, Trans. Amer. Math. Soc. 115 (1965), 300-328.
    • (1965) Trans. Amer. Math. Soc , vol.115 , pp. 300-328
    • O'NEILL1
  • 22
    • 0025225843 scopus 로고
    • A co-area formula with applications to monotone rearrangement and to regularity
    • [RT]
    • [RT] J.M. RAKOTOSON - R. TEMAN, A co-area formula with applications to monotone rearrangement and to regularity, Arch. Rat. Mech. Anal. 109 (1990), 213-238.
    • (1990) Arch. Rat. Mech. Anal , vol.109 , pp. 213-238
    • RAKOTOSON, J.M.1    TEMAN, R.2
  • 23
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • [Ta1]
    • [Ta1] G. TALENTI, Best constant in Sobolev inequality, Ann. Mat. Pura Appl. 110 (1976), 353-372.
    • (1976) Ann. Mat. Pura Appl , vol.110 , pp. 353-372
    • TALENTI, G.1
  • 25
    • 84972519543 scopus 로고
    • Boundedness ofminimizers
    • [Ta3]
    • [Ta3] G. TALENTI, Boundedness ofminimizers, Hokkaido Math. J. 19 (1990), 259-279.
    • (1990) Hokkaido Math. J , vol.19 , pp. 259-279
    • TALENTI, G.1
  • 27
    • 0000453612 scopus 로고
    • On imbeddings into Orlicz spaces and some applications
    • [Tr]
    • [Tr] N.S. TRUDINGER, 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.