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Volumn 13, Issue 3, 1996, Pages 255-282

Partial regularity for minimizers of variational integrals with discontinuous integrands

Author keywords

[No Author keywords available]

Indexed keywords

CONVEXITY; FUNCTIONAL MINIMIZATION; INTEGRAL; PARTIAL REGULARITY;

EID: 0030363079     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0294-1449(16)30104-4     Document Type: Article
Times cited : (13)

References (15)
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    • A regularity theorem for minimizers of quasiconvex integrals
    • E. Acerbi Ν. Fusco A regularity theorem for minimizers of quasiconvex integrals Arch. Rational Mech. Anal. Vol. 99 1987 261 281
    • (1987) Arch. Rational Mech. Anal. , vol.Vol. 99 , pp. 261-281
    • Acerbi, E.1    Fusco, Ν.2
  • 2
    • 0000184055 scopus 로고
    • Quasiconvexity and partial regularity in the calculus of variations
    • L.C. Evans Quasiconvexity and partial regularity in the calculus of variations Arch. Rational Mech. Anal. Vol. 95 1986 227 252
    • (1986) Arch. Rational Mech. Anal. , vol.Vol. 95 , pp. 227-252
    • Evans, L.C.1
  • 3
    • 0003285448 scopus 로고
    • Weak convergence methods for nonlinear partial differential equations
    • L.C. Evans Weak convergence methods for nonlinear partial differential equations Regional conference series in mathematics Vol. 74 1990 AMS Providence
    • (1990)
    • Evans, L.C.1
  • 4
    • 0000170338 scopus 로고
    • Blow-up, compactness and partial regularity in the calculus of variations
    • L.C. Evans R.F. Gariepy Blow-up, compactness and partial regularity in the calculus of variations Indiana Univ. Math. J. Vol. 36 1987 361 371
    • (1987) Indiana Univ. Math. J. , vol.Vol. 36 , pp. 361-371
    • Evans, L.C.1    Gariepy, R.F.2
  • 5
    • 84976128757 scopus 로고
    • Some remarks concerning quasiconvexity and strong convergence
    • L.C. Evans R.F. Gariepy Some remarks concerning quasiconvexity and strong convergence Proc. Royal Soc. Edinburgh Vol. 106A 1987 53 61
    • (1987) Proc. Royal Soc. Edinburgh , vol.Vol. 106A , pp. 53-61
    • Evans, L.C.1    Gariepy, R.F.2
  • 6
    • 0001177787 scopus 로고
    • C1, α partial regularity of functions minimising quasiconvex integrals
    • 1, α partial regularity of functions minimising quasiconvex integrals Manuscripta math Vol. 54 1985 121 143
    • (1985) Manuscripta math , vol.Vol. 54 , pp. 121-143
    • Fusco, N.1    Hutchinson, J.2
  • 7
    • 0003846834 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 1983 Princeton Univ. Press Princeton
    • (1983)
    • Giaquinta, M.1
  • 8
    • 85119462085 scopus 로고
    • The problem of the regularity of minimizers
    • M. Giaquinta The problem of the regularity of minimizers 1986 International congress of mathematicians Berkeley
    • (1986)
    • Giaquinta, M.1
  • 9
    • 1642548456 scopus 로고
    • Quasiconvexity, growth conditions and partial regularity
    • M. Giaquinta Quasiconvexity, growth conditions and partial regularity S. Hildebrandt R. Leis Partial differential equations and calculus of variations. Lecture notes in mathematics Vol. 1357 1988 Springer Berlin
    • (1988)
    • Giaquinta, M.1
  • 10
    • 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 Vol. 148 1982 31 46
    • (1982) Acta Math , vol.Vol. 148 , pp. 31-46
    • Giaquinta, M.1    Giusti, E.2
  • 11
    • 0001021094 scopus 로고
    • Differentiability of minima of nondifferentiable functionals
    • M. Giaquinta E. Giusti Differentiability of minima of nondifferentiable functionals Inv. Math. Vol. 72 1983 285 298
    • (1983) Inv. Math. , vol.Vol. 72 , pp. 285-298
    • Giaquinta, M.1    Giusti, E.2
  • 13
    • 85119460382 scopus 로고
    • An elementary partial regularity proof for solutions of nonlinear elliptic systems
    • C. Hamburger An elementary partial regularity proof for solutions of nonlinear elliptic systems 1994 SFB 256 Bonn, Preprint 353
    • (1994) , pp. 353
    • Hamburger, C.1
  • 14
    • 0346729254 scopus 로고
    • Existence and partial regularity in the calculus of variations
    • M.C. Hong Existence and partial regularity in the calculus of variations Ann. Mat. Pura Appl. Vol. 149 1987 311 328
    • (1987) Ann. Mat. Pura Appl. , vol.Vol. 149 , pp. 311-328
    • Hong, M.C.1
  • 15
    • 0004116414 scopus 로고
    • Real and complex analysis
    • W. Rudin Real and complex analysis 1987 McGraw-Hill New York
    • (1987)
    • Rudin, W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.