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The research was supported by the Siberian Division of the RAN (Grant “The Lavrent'ev Phenomenon and Applications”).
Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 35, No. 6, pp. 1373–1389, November–December, 1994.
The author is grateful to Professor J. Ball, who stimulated the author's interest in the present research and made a number of felicitous remarks while the author's writing this article. The author is also grateful to Professor P. I. Plotnikov for his remarks on the preliminary version of the article.
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Sychëv, M.A. Lebesgue measure of the universal singular set for the simplest problems in the calculus of variations. Sib Math J 35, 1220–1233 (1994). https://doi.org/10.1007/BF02104722
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DOI: https://doi.org/10.1007/BF02104722