Counterexample to lower semicontinuity in calculus of variations

Mathematische Zeitschrift

Volumn 238, Issue 4, 2001, Pages 689-694

  Černý, Robert ^a   Malý, Jan ^a  

^a CHARLES UNIVERSITY   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035732517     PISSN: 00255874     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002090100271     Document Type: Article

References (12)

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4. E. De Giorgi, Teoremi di Semicontinuitá nel calcolo della variazioni, Istit. Naz. Alta Mat., Roma, 1968-69
5. G. Eisen, A counterexample to some lower semicontinuity results, Math. Z. 162 (1978), 241-243
6. I. Fonseca, G. Leoni, On lower semicontinuity and relaxation, Research Report No. 98-CNA-010, Center for Nonlinear Analysis CMU Pittsburgh, NSF Arlington, 1998
7. I. Fonseca, G. Leoni, Some remarks on lower semicontinuity, Research Report No. 99-CNA-007, Center for Nonlinear Analysis CMU Pittsburgh, NSF Arlington, 1999
8. p) for integrands f(x, u, ∇u), Arch. Rational Mech. Anal. 123 (1993), 1-49
9. M. Giaquinta, G. Modica and J. Souček, Cartesian Currents in the Calculus of Variations II, Ergebnisse der Mathematik und Ihrer Grenzgebiete Vol. 38, Springer, Berlin-Heidelberg, 1998
10. C.B. Morrey, Multiple Integrals in the Calculus of Variations, Grundlehren 130, Springer, New York, 1966
11. J. Serrin, On the definition and properties of certain variational integrals, Trans. Amer. Math. Soc. 161 (1961), 139-167
12. M. Struwe, Variational Methods, Springer, Berlin-Heidelberg, 1990