We solve the extremal problem of finding the maximum of the functional
where
and r(B, a) is the inner radius of a domain B with respect to a point a ∈ B. The points a k,p , \( k = \overline {1,n} \), \( p = \overline {1,{m_k}} \), are not fixed. Some generalizations of these results are also considered.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 7, pp. 867–879, July, 2011.
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Bakhtin, A.K., Targonskii, A.L. Generalized (n, d)-ray systems of points and inequalities for nonoverlapping domains and open sets. Ukr Math J 63, 999–1012 (2011). https://doi.org/10.1007/s11253-011-0560-6
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DOI: https://doi.org/10.1007/s11253-011-0560-6