Geodesic
On the existence of discontinuous solutions for a class of multidimensional quasiregular variational problems
Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 17-27 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper the existence of discontinuous solutions $x^{n+1}=u(x)$, $x\in\Omega$, of a positive definite quasiregular $n$-dimensional variational problem is established when the order of growth of the integrand of the functional degenerates up to unity on non-self-intersecting $(n-1)$-dimensional surfaces lying in the region $\Omega$ or on its boundary $S$. Bibliography: 11 titles. 
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S. F. Morozov. On the existence of discontinuous solutions for a class of multidimensional quasiregular variational problems. Sbornik. Mathematics, Tome 22 (1974) no. 1, pp. 17-27. http://geodesic.mathdoc.fr/item/SM_1974_22_1_a1/

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