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Volumn 93, Issue 3, 1997, Pages 283-299

Hölder continuity of minimizers of functionals with variable growth exponent

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EID: 0041195232     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02677472     Document Type: Article
Times cited : (52)

References (25)
  • 1
    • 38149147126 scopus 로고
    • Partial regularity under anisotropic (p, q) growth conditions
    • ACERBI E., FUSCO N.: Partial regularity under anisotropic (p, q) growth conditions. J. Diff. Equations. 107 (1994), 46-67.
    • (1994) J. Diff. Equations , vol.107 , pp. 46-67
    • Acerbi, E.1    Fusco, N.2
  • 2
    • 0003180354 scopus 로고
    • A transmission problem in the calculus of variations
    • ACERBI E., FUSCO N.: A transmission problem in the calculus of variations. Calc. Var. 2 (1994), 1-16.
    • (1994) Calc. Var. , vol.2 , pp. 1-16
    • Acerbi, E.1    Fusco, N.2
  • 3
    • 0040412821 scopus 로고    scopus 로고
    • The hölder continuity of certain nonlinear elliptic equations with nonstandard growth condition
    • to appear
    • ALKHUTOV YU. A.: The Hölder continuity of certain nonlinear elliptic equations with nonstandard growth condition. Differentsial'nye Uravneniya (1997) (to appear).
    • (1997) Differentsial'nye Uravneniya
    • Alkhutov, Yu.A.1
  • 4
    • 0001300313 scopus 로고
    • ∞-regularity for a variational problem with sharp non standard growth conditions
    • ∞-regularity for a variational problem with sharp non standard growth conditions. Boll. Un. Mat. Ital. (7) 4-A (1990), 219-225.
    • (1990) Boll. Un. Mat. Ital. (7) , vol.4 A , pp. 219-225
    • Boccardo, L.1    Marcellini, P.2    Sbordone, C.3
  • 6
    • 0002412307 scopus 로고
    • Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari
    • DE GIORGI E.: Sulla differenziabilità e l'analiticità delle estremali degli integrali multipli regolari. Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. 3 (1957), 25-43.
    • (1957) Mem. Accad. Sci. Torino Cl. Sci. Fis. Mat. Natur. , vol.3 , pp. 25-43
    • De Giorgi, E.1
  • 8
    • 51249173776 scopus 로고
    • Local boundedness of minimizers in a limit case
    • FUSCO N., SBORDONE C.: Local boundedness of minimizers in a limit case. Manuscripta Math. 69 (1990), 19-25.
    • (1990) Manuscripta Math. , vol.69 , pp. 19-25
    • Fusco, N.1    Sbordone, C.2
  • 9
    • 84963186159 scopus 로고
    • Some remarks on the regularity of minima of anisotropic integrals
    • FUSCO N., SBORDONE C.: Some remarks on the regularity of minima of anisotropic integrals. Comm. Partial Differential Equations 18 (1993), 154-167.
    • (1993) Comm. Partial Differential Equations , vol.18 , pp. 154-167
    • Fusco, N.1    Sbordone, C.2
  • 10
    • 0001686552 scopus 로고
    • Growth conditions and regularity, a counterexample
    • GIAQUINTA M.: Growth conditions and regularity, a counterexample. Manuscripta Math. 59 (1987), 245-248.
    • (1987) Manuscripta Math. , vol.59 , pp. 245-248
    • Giaquinta, M.1
  • 11
    • 0001812542 scopus 로고
    • On the regularity of the minima of variational integrals
    • GIAQUINTA M., GIUSTI E.: On the regularity of the minima of variational integrals. Acta Math. 148 (1982), 31-46.
    • (1982) Acta Math. , vol.148 , pp. 31-46
    • Giaquinta, M.1    Giusti, E.2
  • 14
    • 0002365723 scopus 로고
    • Some remarks on the minimizers of variational integrals with non standard growth conditions
    • HONG M. C.: Some remarks on the minimizers of variational integrals with non standard growth conditions. Boll. Un. Mat. Ital. (7) 6-A (1992), 91-102.
    • (1992) Boll. Un. Mat. Ital. (7) , vol.6 A , pp. 91-102
    • Hong, M.C.1
  • 16
    • 0039820290 scopus 로고
    • Un exemple de solution discontinue d'un problème variationnel dans le cas scalaire
    • MARCELLINI P.: Un exemple de solution discontinue d'un problème variationnel dans le cas scalaire. Preprint Univ. Florence, (1987).
    • (1987) Preprint Univ. Florence
    • Marcellini, P.1
  • 17
    • 0001196870 scopus 로고
    • Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions
    • MARCELLINI P.: Regularity of minimizers of integrals of the calculus of variations with non standard growth conditions. Arch. Rational Mech. Anal. 105 (1989), 267-284.
    • (1989) Arch. Rational Mech. Anal. , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 18
    • 0001812746 scopus 로고
    • Regularity and existence of solutions of elliptic equations with p, q-growth conditions
    • MARCELLINI P.: Regularity and existence of solutions of elliptic equations with p, q-growth conditions. J. Diff. Equations. 90 (1991), 1-30.
    • (1991) J. Diff. Equations , vol.90 , pp. 1-30
    • Marcellini, P.1
  • 19
    • 38249000043 scopus 로고
    • Regularity for elliptic equations with general growth conditions
    • MARCELLINI P.: Regularity for elliptic equations with general growth conditions. J. Diff. Equations. 105 (1993), 296-333.
    • (1993) J. Diff. Equations , vol.105 , pp. 296-333
    • Marcellini, P.1
  • 20
    • 0039387583 scopus 로고
    • Absolute continuity on tracks and mappings of Sobolev spaces
    • MARCUS M., MIZEL V. J.: Absolute continuity on tracks and mappings of Sobolev Spaces. Arch. Rational Mech. Anal. 45 (1972), 294-320.
    • (1972) Arch. Rational Mech. Anal. , vol.45 , pp. 294-320
    • Marcus, M.1    Mizel, V.J.2
  • 21
    • 0001640760 scopus 로고
    • Local boundedness of minimizers of integrals of the calculus of variations
    • MASCOLO E., PAPI G.: Local boundedness of minimizers of integrals of the calculus of variations. Ann. Mat. Pura Appl. 167 (1994), 323-339.
    • (1994) Ann. Mat. Pura Appl. , vol.167 , pp. 323-339
    • Mascolo, E.1    Papi, G.2
  • 23
    • 0001277096 scopus 로고
    • Holder continuity of minimizers of functionals with non standard growth conditions
    • MOSCARIELLO G., NANIA L.: Holder continuity of minimizers of functionals with non standard growth conditions. Ricerche Mat. XL (1991), 259-273.
    • (1991) Ricerche Mat. , vol.40 , pp. 259-273
    • Moscariello, G.1    Nania, L.2
  • 24
    • 79953907620 scopus 로고
    • Averaging of functionals of the calculus of variations and elasticity theory
    • ZHIKOV V. V.: Averaging of functionals of the calculus of variations and elasticity theory. Math. USSR Izvestiya. 29 (1987), 33-66.
    • (1987) Math. USSR Izvestiya , vol.29 , pp. 33-66
    • Zhikov, V.V.1


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