Extremal problems dual to the Gauss variational problem

  • N. V. Zorii

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.
Published
25.06.2006
How to Cite
Zorii, N. V. “Extremal Problems Dual to the Gauss Variational Problem”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, no. 6, June 2006, pp. 747–764, https://umj.imath.kiev.ua/index.php/umj/article/view/3493.
Section
Research articles