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Volumn 3, Issue 4, 1997, Pages 565-588

First- and second-order integral functionals of the calculus of variations which exhibit the Lavrentiev phenomenon

Author keywords

Calculus of variations; Lavrentiev phenomenon; Regularity of minimizers

Indexed keywords

BOUNDARY CONDITIONS; FUNCTIONS; INTEGRODIFFERENTIAL EQUATIONS;

EID: 0031251514     PISSN: 10792724     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02463283     Document Type: Article
Times cited : (15)

References (15)
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  • 2
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    • One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
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  • 3
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    • Interpretation of the Lavrentiev phenomenon by relaxation
    • G. Buttazzo and V. J. Mizel, Interpretation of the Lavrentiev phenomenon by relaxation. J. Fund. Anal. 110 (1992), 434-460.
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    • Buttazzo, G.1    Mizel, V.J.2
  • 5
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    • On the Lavrentiev phenomenon for autonomous second-order integrands
    • C.-W. Cheng and V. Mizel, On the Lavrentiev phenomenon for autonomous second-order integrands. Arch. Rat. Mech. Anal. 126 (1994), 21-33.
    • (1994) Arch. Rat. Mech. Anal. , vol.126 , pp. 21-33
    • Cheng, C.-W.1    Mizel, V.2
  • 6
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  • 7
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    • Regularity properties of solutions to the basic problem in the calculus of variations
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    • Clarke, F.H.1    Vinter, R.B.2
  • 8
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    • _, A regularity theory for variational problems with higher-order derivatives. Trans. Am. Math. Soc. 320 (1990), 227-251.
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  • 9
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    • Singular minimisers in the calculus of variations in one dimension
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  • 11
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    • The Lavrentiev phenomenon for invariant variational problems
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  • 12
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  • 14
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    • M. A. Sychev, On the question of regularity of the solutions of variational problems. Russ. Acad. Sci. Sb. Math. 75 (1993), 535-556.
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  • 15
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    • On the Lavrentiev phenomenon and the validity of Euler-Lagrange equations for a class of integral functionals
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.