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Volumn 507, Issue , 1999, Pages 15-36

Gradient regularity for minimizers under general growth conditions

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EID: 0033483701     PISSN: 00754102     EISSN: None     Source Type: Journal    
DOI: 10.1515/crll.1999.507.15     Document Type: Article
Times cited : (52)

References (17)
  • 1
    • 0001002414 scopus 로고
    • On optimization problems with prescribed rearrangements
    • A. Alvino, P. L. Lions, G. Trombetti, On optimization problems with prescribed rearrangements, Nonlin. Anal. 13 (1989), 185-220.
    • (1989) Nonlin. Anal. , vol.13 , pp. 185-220
    • Alvino, A.1    Lions, P.L.2    Trombetti, G.3
  • 3
    • 0000176971 scopus 로고
    • A new Poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth
    • T. Bhattacharya, F. Leonetti, A new Poincaré inequality and its application to the regularity of minimizers of integral functionals with nonstandard growth, Nonlin. Anal. 17 (1991), 833-839.
    • (1991) Nonlin. Anal. , vol.17 , pp. 833-839
    • Bhattacharya, T.1    Leonetti, F.2
  • 4
    • 0001804584 scopus 로고
    • φ integral inequalities for operators of Hardy type
    • φ integral inequalities for operators of Hardy type, Stud. Math. 110 (1994), 35-52.
    • (1994) Stud. Math. , vol.110 , pp. 35-52
    • Bloom, S.1    Kerman, R.2
  • 5
    • 84945016371 scopus 로고
    • Minimal rearrangements of Sobolev functions
    • 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
  • 6
    • 0039852734 scopus 로고    scopus 로고
    • Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems
    • A. Cianchi, Continuity properties of functions from Orlicz-Sobolev spaces and embedding theorems, Ann. Sc. Norm. Sup. Pisa (IV) 23 (1996), 575-608.
    • (1996) Ann. Sc. Norm. Sup. Pisa (IV) , vol.23 , pp. 575-608
    • Cianchi, A.1
  • 7
    • 0001979760 scopus 로고    scopus 로고
    • A sharp embedding theorem for Orlicz-Sobolev spaces
    • and Addendum, submitted
    • A. Cianchi, A sharp embedding theorem for Orlicz-Sobolev spaces, Indiana Univ. Math. J. 45 (1996), 39-65 and Addendum, submitted.
    • (1996) Indiana Univ. Math. J. , vol.45 , pp. 39-65
    • Cianchi, A.1
  • 8
  • 9
    • 84990569588 scopus 로고
    • Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions
    • N. Fusco, C. Sbordone, Higher integrability of the gradient of minimizers of functionals with nonstandard growth conditions, Comm. Pure Appl. Math. 43 (1990), 673-683.
    • (1990) Comm. Pure Appl. Math. , vol.43 , pp. 673-683
    • Fusco, N.1    Sbordone, C.2
  • 10
    • 0003283911 scopus 로고
    • Multiple integrals in the calculus of variations and nonlinear elliptic systems
    • M. Giaquinta, Multiple integrals in the calculus of variations and nonlinear elliptic systems, Ann. Math. Stud., Princ. Univ. Press 105 (1983).
    • (1983) Ann. Math. Stud., Princ. Univ. Press , vol.105
    • Giaquinta, M.1
  • 12
    • 0008293058 scopus 로고    scopus 로고
    • Variational integrals of nearly linear growth
    • L. Greco, T. Iwaniec, C. Sbordone, Variational integrals of nearly linear growth, Diff. Int. Eq. 10 (1997), 687-716.
    • (1997) Diff. Int. Eq. , vol.10 , pp. 687-716
    • Greco, L.1    Iwaniec, T.2    Sbordone, C.3
  • 13
    • 0025225843 scopus 로고
    • A co-area formula with applications to monotone rearrangements and regularity
    • J. M. Rakotoson, R. Teman, A co-area formula with applications to monotone rearrangements and 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
  • 14
    • 0039143878 scopus 로고
    • On some integral inequalities and their applications to the Calculus of Variations
    • C. Sbordone, On some integral inequalities and their applications to the Calculus of Variations, Boll. Un. Mat. It., Analisi Funzionale e Applicazioni (VI) 5 (1986), 73-94.
    • (1986) Boll. Un. Mat. It., Analisi Funzionale e Applicazioni (VI) , vol.5 , pp. 73-94
    • Sbordone, C.1
  • 15
    • 0001521609 scopus 로고
    • Higher integrabilty from reverse Hölder inequalities
    • E. W. Stredulinsky, Higher integrabilty from reverse Hölder inequalities, Indiana Univ. Math. J. 29 (1980), 407-413.
    • (1980) Indiana Univ. Math. J. , vol.29 , pp. 407-413
    • Stredulinsky, E.W.1
  • 16
    • 34250392866 scopus 로고
    • Best constant in Sobolev inequality
    • 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


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