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Volumn 123, Issue 3, 2007, Pages 269-283

Higher integrability of the gradient for vectorial minimizers of decomposable variational integrals

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EID: 34547279602     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00229-007-0096-0     Document Type: Article
Times cited : (24)

References (22)
  • 1
    • 0003796630 scopus 로고
    • Academic, New York-San Francisco-London
    • Adams, R.A.: Sobolev spaces. Academic, New York-San Francisco-London (1975)
    • (1975) Sobolev spaces
    • Adams, R.A.1
  • 2
    • 14644403302 scopus 로고    scopus 로고
    • Convex variational problems: Linear, nearly linear and anisotropic growth conditions
    • Springer, Berlin-Heidelberg-New York
    • Bildhauer, M.: Convex variational problems: linear, nearly linear and anisotropic growth conditions. Lecture Notes in Mathematics 1818, Springer, Berlin-Heidelberg-New York (2003)
    • (2003) Lecture Notes in Mathematics 1818
    • Bildhauer, M.1
  • 3
    • 0036972447 scopus 로고    scopus 로고
    • Partial regularity for a class of anisotropic variational integrals with convex hull property
    • Bildhauer, M., Fuchs, M.: Partial regularity for a class of anisotropic variational integrals with convex hull property. Asymp. Anal. 32, 293-315 (2002)
    • (2002) Asymp. Anal , vol.32 , pp. 293-315
    • Bildhauer, M.1    Fuchs, M.2
  • 4
    • 34547352862 scopus 로고    scopus 로고
    • Bildhauer, M., Fuchs, M.: Elliptic variational problems with nonstandard growth. International Mathematical Series, 1, Nonlinear problems in mathematical physics and related topics I, in honor of Prof. O.A. Ladyzhenskaya. By Tamara Rozhkovskaya, Novosibirsk, Russia, March 2002 (in Russian), 49-62. By Kluwer/Plenum Publishers, June 2002 (in English), pp. 53-66
    • Bildhauer, M., Fuchs, M.: Elliptic variational problems with nonstandard growth. International Mathematical Series, Vol. 1, Nonlinear problems in mathematical physics and related topics I, in honor of Prof. O.A. Ladyzhenskaya. By Tamara Rozhkovskaya, Novosibirsk, Russia, March 2002 (in Russian), 49-62. By Kluwer/Plenum Publishers, June 2002 (in English), pp. 53-66
  • 6
    • 14644430422 scopus 로고    scopus 로고
    • A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids
    • Bildhauer, M., Fuchs, M., Zhong, X.: A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. Manus. Math. 116, 135-156 (2005)
    • (2005) Manus. Math , vol.116 , pp. 135-156
    • Bildhauer, M.1    Fuchs, M.2    Zhong, X.3
  • 7
    • 37349060021 scopus 로고    scopus 로고
    • Variational integrals with a wide range of anisotropy
    • in press
    • Bildhauer, M., Fuchs, M., Zhong, X.: Variational integrals with a wide range of anisotropy. Algebra i Analiz (2007, in press)
    • (2007) Algebra i Analiz
    • Bildhauer, M.1    Fuchs, M.2    Zhong, X.3
  • 8
    • 0037788410 scopus 로고
    • Hölder continuity of the solutions of some non-linear elliptic systems
    • Campanato, S.: Hölder continuity of the solutions of some non-linear elliptic systems. Adv. Math. 48, 16-43 (1983)
    • (1983) Adv. Math , vol.48 , pp. 16-43
    • Campanato, S.1
  • 9
    • 18044364987 scopus 로고    scopus 로고
    • Differentiability for bounded minimizers of some anisotropic integrals
    • Canale, A., D'Ottavio, A., Leonetti, F., Longobardi, M.: Differentiability for bounded minimizers of some anisotropic integrals. J. Math. Anal. Appl. 253, 640-650 (2001)
    • (2001) J. Math. Anal. Appl , vol.253 , pp. 640-650
    • Canale, A.1    D'Ottavio, A.2    Leonetti, F.3    Longobardi, M.4
  • 10
    • 0000687206 scopus 로고
    • Interior behaviour of minimizers for certain functionals with nonstandard growth
    • Choe, H.J.: Interior behaviour of minimizers for certain functionals with nonstandard growth. Nonlinear Anal. Theory Methods Appl. 19(10), 933-945 (1992)
    • (1992) Nonlinear Anal. Theory Methods Appl , vol.19 , Issue.10 , pp. 933-945
    • Choe, H.J.1
  • 11
    • 0000210927 scopus 로고    scopus 로고
    • Maximum principle for vector valued mappings minimizing variational integrals
    • D'Ottavio, A., Leonetti, F., Musciano, C.: Maximum principle for vector valued mappings minimizing variational integrals. Atti Sem. Mat. Fis. Univ. Modena XLVI, 677-683 (1998)
    • (1998) Atti Sem. Mat. Fis. Univ. Modena , vol.46 , pp. 677-683
    • D'Ottavio, A.1    Leonetti, F.2    Musciano, C.3
  • 12
    • 0033588750 scopus 로고    scopus 로고
    • Higher integrability for minimizers of integral functionals with (p, q)-growth
    • Esposito, L., Leonetti, F., Mingione, G.: Higher integrability for minimizers of integral functionals with (p, q)-growth. J. Diff. Eq. 157, 414-438 (1999)
    • (1999) J. Diff. Eq , vol.157 , pp. 414-438
    • Esposito, L.1    Leonetti, F.2    Mingione, G.3
  • 13
  • 14
    • 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. P.D.E. 18, 153-167 (1993)
    • (1993) Comm. P.D.E , vol.18 , pp. 153-167
    • Fusco, N.1    Sbordone, C.2
  • 15
    • 34547369803 scopus 로고    scopus 로고
    • Giaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. Math. Studies 105, Princeton University Press, Princeton (1983)
    • Giaquinta, M.: Multiple integrals in the calculus of variations and nonlinear elliptic systems. Ann. Math. Studies 105, Princeton University Press, Princeton (1983)
  • 16
    • 0001686552 scopus 로고
    • Growth conditions and regularity, a counterexample
    • Giaquinta, M.: Growth conditions and regularity, a counterexample. Manus. Math. 59, 245-248 (1987)
    • (1987) Manus. Math , vol.59 , pp. 245-248
    • Giaquinta, M.1
  • 17
    • 0002234265 scopus 로고
    • Remarks on the regularity of the minimizers of certain degenerate functionals
    • Giaquinta, M., Modica, G.: Remarks on the regularity of the minimizers of certain degenerate functionals. Manus. Math. 57, 55-99 (1986)
    • (1986) Manus. Math , vol.57 , pp. 55-99
    • Giaquinta, M.1    Modica, G.2
  • 18
    • 34547353644 scopus 로고    scopus 로고
    • Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Grundlehren der math. Wiss. 224, second ed., revised third print., Springer, Berlin-Heidelberg-New York (1998)
    • Gilbarg, D., Trudinger, N.S.: Elliptic partial differential equations of second order. Grundlehren der math. Wiss. 224, second ed., revised third print., Springer, Berlin-Heidelberg-New York (1998)
  • 19
    • 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. U.M.I. 7(6-A), 91-101 (1992)
    • (1992) Boll. U.M.I , vol.7 , Issue.6 -A , pp. 91-101
    • Hong, M.C.1
  • 21
    • 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. Rat. Mech. Anal. 105, 267-284 (1989)
    • (1989) Arch. Rat. Mech. Anal , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 22
    • 84939899331 scopus 로고    scopus 로고
    • Everywhere regularity for a class of elliptic systems without growth conditions
    • Marcellini, P.: Everywhere regularity for a class of elliptic systems without growth conditions. Ann. Scuola Norm. Sup. Pisa 23, 1-25 (1996)
    • (1996) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 1-25
    • Marcellini, P.1


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