Abstract
An existence theorem is proved for discontinuous solutions of a semidefinite quasiregular variational problem concerned with determining inf J [y], in which the expression under the integral sign is of a special form.
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Translated from Matematicheskie Zametki, Vol. 7, No. 1, pp. 69–78, January, 1970.
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Koshelev, V.N., Morozov, S.F. Existence of discontinuous solutions for simplest semidefinite problems of variational calculus. Mathematical Notes of the Academy of Sciences of the USSR 7, 42–47 (1970). https://doi.org/10.1007/BF01093340
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DOI: https://doi.org/10.1007/BF01093340