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Volumn 72, Issue 1-3, 2003, Pages 173-181

The Lavrentiev Phenomenon in Nonlinear Elasticity

Author keywords

Lavrentiev phenomenon; Nonlinear elasticity; Singular minimizers

Indexed keywords

BOUNDARY VALUE PROBLEMS; DEFORMATION; ENERGY STORAGE; ISOTOPES; STRESS ANALYSIS;

EID: 1842740772     PISSN: 03743535     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:ELAS.0000018778.53392.b7     Document Type: Article
Times cited : (5)

References (8)
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    • (1994) J. Convex Anal. , vol.1 , pp. 31-45
    • Alberti, G.1    Majer, P.2
  • 2
    • 0017417265 scopus 로고
    • Convexity condiitons and existence theorems in nonlinear elasticity
    • J.M. Ball, Convexity condiitons and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63 (1977) 337-403.
    • (1977) Arch. Rational Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 3
    • 0019902788 scopus 로고
    • Discontinuous equilibrium solutions and cavitation in nonlinear elasticity
    • J.M. Ball, Discontinuous equilibrium solutions and cavitation in nonlinear elasticity. Philos. Trans. Roy. Soc. London Ser. A 305 (1982) 557-611.
    • (1982) Philos. Trans. Roy. Soc. London Ser. A , vol.305 , pp. 557-611
    • Ball, J.M.1
  • 4
    • 0001135181 scopus 로고
    • One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
    • J.M. Ball and V.J. Mizel, One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation. Arch. Rational Mech. Anal. 90 (1985) 325-388.
    • (1985) Arch. Rational Mech. Anal. , vol.90 , pp. 325-388
    • Ball, J.M.1    Mizel, V.J.2
  • 5
    • 84966258070 scopus 로고
    • Interpretation of Lavrentiev phenomenon by relaxation: The higher order case
    • M. Belloni, Interpretation of Lavrentiev phenomenon by relaxation: The higher order case. Trans. Amer. Math. Soc. 347 (1995) 2011-2023.
    • (1995) Trans. Amer. Math. Soc. , vol.347 , pp. 2011-2023
    • Belloni, M.1
  • 7
    • 0037494692 scopus 로고    scopus 로고
    • The Lavrentiev gap phenomenon in nonlinear elasticity
    • M. Foss, W.J. Hrusa and V.J. Mizel, The Lavrentiev gap phenomenon in nonlinear elasticity. Arch. Rational Mech. Anal. 167 (2003) 337-365.
    • (2003) Arch. Rational Mech. Anal. , vol.167 , pp. 337-365
    • Foss, M.1    Hrusa, W.J.2    Mizel, V.J.3
  • 8
    • 0037683302 scopus 로고
    • The Lavrentiev phenomenon for invariant variational problems
    • A.C. Heinricher and V.J. Mizel, The Lavrentiev phenomenon for invariant variational problems. Arch. Rational Mech. Anal. 102 (1988) 57-93.
    • (1988) Arch. Rational Mech. Anal. , vol.102 , pp. 57-93
    • Heinricher, A.C.1    Mizel, V.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.