Abstract:
In this paper we consider the Möbius invariant operation of convex expansion of condenser plates in the space $\overline R^n$. In the case $n=2$ we prove that this operation cannot increase the capacity of a condenser with connected plates more than 3 times.
Keywords:condenser, conformal capacity, convexity, Möbius transformation, Möbius invariance, modulus of a curve family, condenser loading.