Geodesic
Convex expansion of condenser plates
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 3-15

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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.
Mots-clés : condenser, Möbius transformation, Möbius invariance
Keywords: conformal capacity, convexity, modulus of a curve family, condenser loading. 
@article{IVM_2010_8_a0,
     author = {V. V. Aseev},
     title = {Convex expansion of condenser plates},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {8},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2010_8_a0/}
}
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V. V. Aseev. Convex expansion of condenser plates. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2010), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2010_8_a0/