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Volumn 193, Issue 2, 2003, Pages 374-384

Reparametrizations and approximate values of integrals of the calculus of variations

Author keywords

Lavrentiev phenomenon; Reparametrization

Indexed keywords


EID: 0041351876     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(02)00176-6     Document Type: Article
Times cited : (17)

References (11)
  • 1
    • 24944495374 scopus 로고
    • Non-occurrence of gap for one-dimemsional autonomous functionals
    • Calculus of Variations, Homogenization and Continuum Mechanics, World Scientific, Singapore
    • G. Alberti, F. Serra Cassano, Non-occurrence of gap for one-dimemsional autonomous functionals, Calculus of Variations, Homogenization and Continuum Mechanics, World Scientific, Singapore, 1994.
    • (1994)
    • Alberti, G.1    Serra Cassano, F.2
  • 2
    • 0000467856 scopus 로고
    • Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands
    • L. Ambrosio, O. Ascenzi, G. Buttazzo, Lipschitz regularity for minimizers of integral functionals with highly discontinuous integrands, J. Math. Anal. Appl. 143 (1989) 301-316.
    • (1989) J. Math. Anal. Appl. , vol.143 , pp. 301-316
    • Ambrosio, L.1    Ascenzi, O.2    Buttazzo, G.3
  • 4
    • 84966256938 scopus 로고
    • Regularity properties of solutions to the basic problem in the calculus of variations
    • F.H. Clarke, R.B. Vinter, Regularity properties of solutions to the basic problem in the calculus of variations, Trans. Am. Math. Soc. 289 (1985) 73-98.
    • (1985) Trans. Am. Math. Soc. , vol.289 , pp. 73-98
    • Clarke, F.H.1    Vinter, R.B.2
  • 6
    • 0001585153 scopus 로고
    • A minimizing property of Keplerian orbits
    • W.B. Gordon, A minimizing property of Keplerian orbits, Amer. J. Math. 99 (1977) 961-971.
    • (1977) Amer. J. Math. , vol.99 , pp. 961-971
    • Gordon, W.B.1
  • 8
    • 0041745050 scopus 로고
    • Sur quelques problemes du calcul des variations
    • M. Lavrentiev, Sur quelques problemes du calcul des variations, Ann. Mat. Pura Appl. 4 (1926) 7-28.
    • (1926) Ann. Mat. Pura Appl. , vol.4 , pp. 7-28
    • Lavrentiev, M.1
  • 9
    • 0037683304 scopus 로고
    • Sopra un esempio di Lavrentieff
    • B. Manià, Sopra un esempio di Lavrentieff, Boll. Un. Mat. Ital. 13 (1934) 147-153.
    • (1934) Boll. Un. Mat. Ital. , vol.13 , pp. 147-153
    • Manià, B.1
  • 10
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, RI
    • R.T. Rockafellar, Convex Analysis, Princeton University Press, Princeton, RI, 1972.
    • (1972) Convex Analysis
    • Rockafellar, R.T.1
  • 11
    • 0000565642 scopus 로고
    • A general chain rule for derivatives and the change of variable formula for the Lebesgue integral
    • J. Serrin, D.E. Varberg, A general chain rule for derivatives and the change of variable formula for the Lebesgue integral, Amer. Math. Monthly 76 (1969) 514-520.
    • (1969) Amer. Math. Monthly , vol.76 , pp. 514-520
    • Serrin, J.1    Varberg, D.E.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.