Extremal Decomposition Problems

Vladimir N. Dubinin
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Vladimir N. Dubinin: Far Eastern Federal University, Institute of Applied Mathematics

Chapter Chapter 6 in Condenser Capacities and Symmetrization in Geometric Function Theory, 2014, pp 155-199 from Springer

Abstract: Abstract By extremal decomposition problems we mean problems of finding upper bounds for sums of the form $$\alpha_{1}M_{1}+\alpha_{2}M_{2}+\cdots +\alpha_{n}M_{n}\;\mathrm{where\;the\;\alpha_{k}}$$ are fixed positive numbers and the M k are the moduli or reduced moduli of nonoverlapping domains B k satisfying some conditions, $$k\;=\;1,\ldots,n$$ .

Keywords: Equality Sign; Cross Ratio; Equality Case; Nonempty Closed Subset; Admissible Domain (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-0348-0843-9_6

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