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Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 170, Number 3, Pages 335–341
DOI: https://doi.org/10.4213/tmf6770 (Mi tmf6770) 		 
This article is cited in 5 scientific papers (total in 5 papers)

An analogue of the Hadamard and Schiffer variational formulas

S. P. Suetin

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (433 kB) Citations (5)
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DOI: https://doi.org/10.4213/tmf6770
Abstract: We obtain a sufficiently general variational formula for a Green's function, which, in particular, implies the classic variational formulas of Hadamard and Schiffer.
Keywords: Green's function, Hadamard variational formula, Schiffer variational formula.
Funding agency Grant number
Russian Foundation for Basic Research 11-01-00330_а
Ministry of Education and Science of the Russian Federation НШ-8033.2010.1
Received: 23.03.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 170, Issue 3, Pages 274–279
DOI: https://doi.org/10.1007/s11232-012-0029-2
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. P. Suetin, “An analogue of the Hadamard and Schiffer variational formulas”, TMF, 170:3 (2012), 335–341; Theoret. and Math. Phys., 170:3 (2012), 274–279
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v170/i3/p335
    • This publication is cited in the following 5 articles:
    1. V. N. Dubinin, “Variational formulae for conformal capacity”, Sb. Math., 215:1 (2024), 90–100  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. V. N. Dubinin, “Green energy of discrete signed measure on concentric circles”, Izv. Math., 87:2 (2023), 265–283  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. E. A. Rakhmanov, S. P. Suetin, “The distribution of the zeros of the Hermite-Padé polynomials for a pair of functions forming a Nikishin system”, Sb. Math., 204:9 (2013), 1347–1390  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    4. A. I. Aptekarev, D. N. Tulyakov, “Asymptotics of Meixner polynomials and Christoffel-Darboux kernels”, Trans. Moscow Math. Soc., 73 (2012), 67–106  mathnet  crossref  mathscinet  zmath  elib
    5. V. I. Buslaev, A. Martínez-Finkelshtein, S. P. Suetin, “Method of interior variations and existence of S-compact sets”, Proc. Steklov Inst. Math., 279 (2012), 25–51  mathnet  crossref  mathscinet  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:73
    First page:30
     
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