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A criterion for continuity of an integral functional on a sequence of functions

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Publication:1921770
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DOI10.1007/BF02113932zbMath0856.49009MaRDI QIDQ1921770

Mikhail A. Sychev

Publication date: 24 February 1997

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

convergencecontinuityintegral functionalLavrentiev phenomenon


Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45)


Related Items (2)

Regularity theory for one-dimensional variational problems with singular ellipticity ⋮ Legendre and Weierstrass conditions and the lower semicontinuity of integral functionals



Cites Work

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  • One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
  • On the Lavrentiev phenomenon
  • Convergence with a functional
  • The Lavrentiev phenomenon for invariant variational problems
  • Singular minimisers in the calculus of variations in one dimension
  • A note on approximation of optimal solutions of free problems of the calculus of variations
  • Strong convergence results related to strict convexity
  • On The Lavrentiev Phenomenon
  • On Lower Semicontinuity of Integral Functionals. I


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