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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2012, Volume 279, Pages 31–58 (Mi tm3428)  
This article is cited in 19 scientific papers (total in 19 papers)

Method of interior variations and existence of $S$-compact sets

V. I. Buslaeva, A. Martínez-Finkelshteinb, S. P. Suetina

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Universidad de Almería, Almería, Spain
Full-text PDF (350 kB) Citations (19)
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Abstract: The variation of equilibrium energy is analyzed for three different functionals that naturally arise in solving a number of problems in the theory of constructive rational approximation of multivalued analytic functions. The variational approach is based on the relationship between the variation of the equilibrium energy and the equilibrium measure. In all three cases the following result is obtained: for the energy functional and the class of admissible compact sets corresponding to the problem, the arising stationary compact set is fully characterized by a certain symmetry property.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00330
Ministry of Education and Science of the Russian Federation NSh-4664.2012.1
Consejería Economía, Innovación, Ciencia y Empleo, Junta de Andalucía FQM-229
P09-FQM-4643
Ministerio de Ciencia e Innovación de España MTM2011-28952-C02-01
European Regional Development Fund
The first and third authors were supported by the Russian Foundation for Basic Research (project no. 11-01-00330) and by a grant of the President of the Russian Federation (project no. NSh-4664.2012.1). The second author was supported by Junta de Andalucia (project nos. FQM-229 and P09-FQM-4643) and by Ministerio de Ciencia e Innovacion de Espana (project no. MTM2011-28952-C02-01) jointly with the European Regional Development Fund (ERDF).
Received in April 2012
English version:
Proceedings of the Steklov Institute of Mathematics, 2012, Volume 279, Pages 25–51
DOI: https://doi.org/10.1134/S0081543812080044
Bibliographic databases:
Document Type: Article
UDC: 517.53
Language: Russian
Citation: V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Method of interior variations and existence of $S$-compact sets”, Analytic and geometric issues of complex analysis, Collected papers, Trudy Mat. Inst. Steklova, 279, MAIK Nauka/Interperiodica, Moscow, 2012, 31–58; Proc. Steklov Inst. Math., 279 (2012), 25–51
Citation in format AMSBIB
\Bibitem{BusMarSue12}
\by V.~I.~Buslaev, A.~Mart{\'\i}nez-Finkelshtein, S.~P.~Suetin
\paper Method of interior variations and existence of $S$-compact sets
\inbook Analytic and geometric issues of complex analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2012
\vol 279
\pages 31--58
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3428}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3086756}
\elib{https://elibrary.ru/item.asp?id=18447430}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2012
\vol 279
\pages 25--51
\crossref{https://doi.org/10.1134/S0081543812080044}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000314063000004}
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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