Extremal Problems in Logarithmic Potential Theory

• Datum: 2002
• Hauptverfasser: Zorii, N. V., Latyshev, A. A., Зорий, Н. В., Латышев, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4161
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We pose and solve an extremal problem of logarithmic potential theory that is dual to the main minimum problem in the theory of interior capacities of condensers but, in contrast to the latter, it is solvable even in the case of a nonclosed condenser. Its solution is a natural generalization of the...