Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems
Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 5, pp. 579-596. 
@article{AIHPC_2005__22_5_579_0,
     author = {Zaslavski, Alexander J.},
     title = {Nonoccurrence of the {Lavrentiev} phenomenon for nonconvex variational problems},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {579--596},
     publisher = {Elsevier},
     volume = {22},
     number = {5},
     year = {2005},
     doi = {10.1016/j.anihpc.2004.10.004},
     mrnumber = {2171992},
     zbl = {1098.49008},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/j.anihpc.2004.10.004/}
}
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Zaslavski, Alexander J. Nonoccurrence of the Lavrentiev phenomenon for nonconvex variational problems. Annales de l'I.H.P. Analyse non linéaire, Tome 22 (2005) no. 5, pp. 579-596. doi : 10.1016/j.anihpc.2004.10.004. http://www.numdam.org/articles/10.1016/j.anihpc.2004.10.004/

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