메뉴 건너뛰기




Volumn 54, Issue 4, 2003, Pages 591-616

Regularity of minimizers of vectorial integrals with p - q growth

Author keywords

Local minimizer; Nonstandard growth; Regularity; Uniform convexity at infinity

Indexed keywords

FUNCTIONS; SET THEORY; VECTORS;

EID: 0038356816     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00087-7     Document Type: Article
Times cited : (58)

References (21)
  • 1
    • 33646883627 scopus 로고
    • Regularity of minimizers of non-quadratic functionals: The case 1 < p < 2
    • Acerbi E., Fusco N. Regularity of minimizers of non-quadratic functionals. the case 1
    • (1989) J. Math. Anal. Appl. , vol.140 , pp. 115-135
    • Acerbi, E.1    Fusco, N.2
  • 2
    • 0033074813 scopus 로고    scopus 로고
    • Hölder continuity of the gradient of p(x) -harmonic mappings
    • Coscia A., Mingione G. Hölder continuity of the gradient of. p(x) -harmonic mappings C.R. Acad. Sci. Paris. 328:1999;363-368.
    • (1999) C.R. Acad. Sci. Paris , vol.328 , pp. 363-368
    • Coscia, A.1    Mingione, G.2
  • 3
    • 85067946483 scopus 로고
    • Direct methods in the calculus of variations
    • Heidelberg, New York: Springer
    • Dacorogna B. Direct methods in the calculus of variations. Applied Mathematics and Science. Vol. 78:1989;Springer, Heidelberg, New York.
    • (1989) Applied Mathematics and Science , vol.78
    • Dacorogna, B.1
  • 5
    • 0036102396 scopus 로고    scopus 로고
    • Regularity results for minimizers of irregular integrals with (p,q) growth
    • Esposito L., Leonetti F., Mingione G. Regularity results for minimizers of irregular integrals with. (p,q) growth Forum Math. 14:2002;245-272.
    • (2002) Forum Math. , vol.14 , pp. 245-272
    • Esposito, L.1    Leonetti, F.2    Mingione, G.3
  • 6
    • 0000091585 scopus 로고    scopus 로고
    • Regularity results for anisotropic image segmentation models
    • Fonseca I., Fusco N. Regularity results for anisotropic image segmentation models. Ann. Scuola Norm. Sup. Pisa. 24:1997;463-499.
    • (1997) Ann. Scuola Norm. Sup. Pisa , vol.24 , pp. 463-499
    • Fonseca, I.1    Fusco, N.2
  • 7
  • 8
    • 23044534767 scopus 로고    scopus 로고
    • Regularity of minimizers for a class of anisotropic free discontinuity problems
    • Fusco N., Mingione G., Trombetti C. Regularity of minimizers for a class of anisotropic free discontinuity problems. J. Convex Anal. 8:2001;349-368.
    • (2001) J. Convex Anal. , vol.8 , pp. 349-368
    • Fusco, N.1    Mingione, G.2    Trombetti, C.3
  • 9
    • 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
  • 10
    • 84941485344 scopus 로고
    • Regularity results for some classes of higher order non linear elliptic systems
    • Giaquinta M., Modica G. Regularity results for some classes of higher order non linear elliptic systems. J. Reine Angew. Math. 311-312:1979;145-169.
    • (1979) J. Reine Angew. Math. , vol.311-312 , pp. 145-169
    • Giaquinta, M.1    Modica, G.2
  • 11
    • 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. Manuscripta Math. 57:1986;55-99.
    • (1986) Manuscripta Math. , vol.57 , pp. 55-99
    • Giaquinta, M.1    Modica, G.2
  • 12
    • 0002538310 scopus 로고
    • Geometric aspects of averaging
    • (in Russian) English translation Russian Math. Surveys 44 (1989) 91-144
    • Kozlov S.M. Geometric aspects of averaging. Uspekhi Mat. Nauk. 44:1989;79-120. (in Russian) English translation Russian Math. Surveys 44 (1989) 91-144.
    • (1989) Uspekhi Mat. Nauk , vol.44 , pp. 79-120
    • Kozlov, S.M.1
  • 14
    • 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. 105:1989;267-284.
    • (1989) Arch. Rat. Mech. Anal. , vol.105 , pp. 267-284
    • Marcellini, P.1
  • 15
    • 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. Differential Equations. 90:1991;1-30.
    • (1991) J. Differential Equations , vol.90 , pp. 1-30
    • Marcellini, P.1
  • 16
    • 38249000043 scopus 로고
    • Regularity for elliptic equations with general growth conditions
    • Marcellini P. Regularity for elliptic equations with general growth conditions. J. Differential Equations. 105:1993;296-333.
    • (1993) J. Differential Equations , vol.105 , pp. 296-333
    • Marcellini, P.1
  • 17
    • 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. 23:1996;1-25.
    • (1996) Ann. Scuola Norm. Sup. Pisa , vol.23 , pp. 1-25
    • Marcellini, P.1
  • 19
    • 0003196293 scopus 로고    scopus 로고
    • Electrorheological fluids: Modeling and mathematical theory
    • Berlin: Springer
    • Ruzicka M. Electrorheological Fluids: Modeling and Mathematical Theory. Lecture Notes in Mathematics. Vol. 1748:2000;Springer, Berlin.
    • (2000) Lecture Notes in Mathematics , vol.1748
    • Ruzicka, M.1
  • 20
    • 0000968617 scopus 로고
    • Regularity for a class of nonlinear elliptic systems
    • Uhlenbeck K. Regularity for a class of nonlinear elliptic systems. Acta Math. 138:1977;219-240.
    • (1977) Acta Math. , vol.138 , pp. 219-240
    • Uhlenbeck, K.1
  • 21
    • 0002913581 scopus 로고
    • Lavrentiev phenomenon and homogenization for some variational problems
    • Zhikov V.V. Lavrentiev phenomenon and homogenization for some variational problems. C. R. Acad. Sci. Paris Ser. I Math. 316:1993;435-439.
    • (1993) C. R. Acad. Sci. Paris Ser. I Math. , vol.316 , pp. 435-439
    • Zhikov, V.V.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.