메뉴 건너뛰기




Volumn 10, Issue 2, 2003, Pages 389-408

Hölder Continuity for Local Minimizers of a Nonconvex Variational Problem

Author keywords

Local minimizer; Nonconvex functional; Regularity

Indexed keywords


EID: 1642319208     PISSN: 09446532     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (7)

References (20)
  • 1
    • 0035579913 scopus 로고    scopus 로고
    • Regularity results for a class of functional with non-standard growth
    • E. Acerbi, G. Mingione: Regularity results for a class of functional with non-standard growth, Arch. Rat. Mech. Anal. 156 (2001) 121-140.
    • (2001) Arch. Rat. Mech. Anal. , vol.156 , pp. 121-140
    • Acerbi, E.1    Mingione, G.2
  • 2
  • 4
    • 0141642230 scopus 로고    scopus 로고
    • Hölder continuity of local minimizers of vectorial integral functionals
    • G. Cupini, R. Petti: Hölder continuity of local minimizers of vectorial integral functionals, NoDEA 10 (2003) 269-285.
    • (2003) NoDEA , vol.10 , pp. 269-285
    • Cupini, G.1    Petti, R.2
  • 5
    • 84966198944 scopus 로고
    • Nonconvex minimization problems
    • I. Ekeland: Nonconvex minimization problems, Bull. Am. Math. Soc. 1(3) (1979) 443-474.
    • (1979) Bull. Am. Math. Soc. , vol.1 , Issue.3 , pp. 443-474
    • Ekeland, I.1
  • 7
    • 0036102396 scopus 로고    scopus 로고
    • Regularity results for minimizers of irregular integrals with (p, q) growth
    • L. Esposito, F. Leonetti, G. Mingione: Regularity results for minimizers of irregular integrals with (p, q) growth, Forum Mathematicum 14 (2002) 245-272.
    • (2002) Forum Mathematicum , vol.14 , pp. 245-272
    • Esposito, L.1    Leonetti, F.2    Mingione, G.3
  • 8
    • 0030586637 scopus 로고    scopus 로고
    • Continuity properties of minimizers of integral functionals in a limit case
    • V. Ferone, N. Fusco: Continuity properties of minimizers of integral functionals in a limit case, J. Math. Anal. Appl. 202 (1996) 27-52.
    • (1996) J. Math. Anal. Appl. , vol.202 , pp. 27-52
    • Ferone, V.1    Fusco, N.2
  • 9
    • 0000091585 scopus 로고    scopus 로고
    • Regularity results for anisotropic image segmentation models
    • I. Fonseca, N. Fusco: Regularity results for anisotropic image segmentation models, Ann. Sc. Norm. Sup. Pisa 24 (1997) 463-499.
    • (1997) Ann. Sc. Norm. Sup. Pisa , vol.24 , pp. 463-499
    • Fonseca, I.1    Fusco, N.2
  • 10
  • 11
    • 23044534767 scopus 로고    scopus 로고
    • Regularity of minimizers for a class of anisotropic free discontinuity problems
    • N. Fusco, G. Mingione, C. Trombetti: Regularity of minimizers for a class of anisotropic free discontinuity problems, J. Convex Analysis 8 (2001) 349-368.
    • (2001) J. Convex Analysis , vol.8 , pp. 349-368
    • Fusco, N.1    Mingione, G.2    Trombetti, C.3
  • 12
    • 0003283911 scopus 로고
    • Multiple Integrals in the Calculus of Variations and Non Linear Elliptic Systems
    • Princeton Univ. Press, Princeton NJ
    • M. Giaquinta: Multiple Integrals in the Calculus of Variations and Non Linear Elliptic Systems, Annals of Math. Studies 105, Princeton Univ. Press, Princeton NJ (1983).
    • (1983) Annals of Math. Studies , vol.105
    • Giaquinta, M.1
  • 13
    • 0001812542 scopus 로고
    • On the regularity of the minima of variational integrals
    • M. Giaquinta, E. Giusti: 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
    • 0001021094 scopus 로고
    • Differentiability of minima of non-differentiable functionals
    • M. Giaquinta, E. Giusti: Differentiability of minima of non-differentiable functionals, Invent. Math. 72 (1983) 285-298.
    • (1983) Invent. Math. , vol.72 , pp. 285-298
    • Giaquinta, M.1    Giusti, E.2
  • 16
    • 0002234265 scopus 로고
    • Remarks on the regularity of the minimizers of certain degenerate functionals
    • M. Giaquinta, G. Modica: 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
  • 18
    • 38249029124 scopus 로고
    • Regularity for minima of functionals with p-growth
    • J. J. Manfredi: Regularity for minima of functionals with p-growth, J. Differential Equations 76 (1988) 203-212.
    • (1988) J. Differential Equations , vol.76 , pp. 203-212
    • Manfredi, J.J.1
  • 19
    • 0001253780 scopus 로고
    • p-estimate for the gradient of solutions of second order elliptic divergence equations
    • p-estimate for the gradient of solutions of second order elliptic divergence equations, Ann. Scuola Norm. Sup. Pisa 17 (1963) 189-206.
    • (1963) Ann. Scuola Norm. Sup. Pisa , vol.17 , pp. 189-206
    • Meyers, N.G.1
  • 20
    • 0000968617 scopus 로고
    • Regularity for a class of nonlinear elliptic systems
    • K. Uhlenbeck: 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


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.