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On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case

On an Isoperimetric Problem with a Competing Nonlocal Term II: The General Case

This paper is the continuation of [H. Kn\"upfer and C. B. Muratov, Commun. Pure Appl. Math. (2012, to be published)]. We investigate the classical isoperimetric problem modified by an addition of a non-local repulsive term generated by a kernel given by an inverse power of the distance. In this work, …