"Extremal
problems for potentials with external fields.

Applications to the theory of capacities of condensers."

By

**Prof. Natalia Zorii**

**(Institute of
Mathematics of National Academy of Sciences
of Ukraine) **

Abstract: We shall be
concerned with the well-known Gauss variational problem on the minimum of the
energy in the presence of an external field, the infimum
being taken over fairly general classes of signed Radon measures in a locally
compact space. We shall show that, in the noncompact
case, the problem is in general unsolvable, and this occurs even under
extremely atural assumptions (in particular, for the

Tea and cookies will be served before the
seminar.

**Date: ****Monday, October 1, 2007**

**Time: ****14.40**

**Place: ****Mathematics Seminar Room, SA-141**