Equilibrium Potentials with External Fields

• Date: 2003
• Main Authors: Zorii, N. V., Зорий, Н. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2003
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3991
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the Gauss variational problem over fairly general classes of Radon measures in a locally compact space X. We describe potentials of minimizing measures, establish their characteristic properties, and prove the continuity of extremals. Extremal problems dual to the original one are for...