Necessary and Sufficient Conditions for the Solvability of the Gauss Variational Problem

• Дата: 2005
• Автори: Zorii, N. V., Зорий, Н. В.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2005
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/3574
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We investigate the well-known Gauss variational problem considered over classes of Radon measures associated with a system of sets in a locally compact space. Under fairly general assumptions, we obtain necessary and sufficient conditions for its solvability. As an auxiliary result, we describe po...