2017
Том 69
№ 6

All Issues

Extremal problems dual to the Gauss variational problem

Zorii N. V.

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Abstract

We formulate and solve extremal problems of potential theory that are dual to the Gauss variational problem but, unlike the latter, are always solvable. Statements on the compactness of classes of solutions and the continuity of extremals are also established.

English version (Springer): Ukrainian Mathematical Journal 58 (2006), no. 6, pp 842-861.

Citation Example: Zorii N. V. Extremal problems dual to the Gauss variational problem // Ukr. Mat. Zh. - 2006. - 58, № 6. - pp. 747–764.

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