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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2018, Number 2, Pages 39–53 (Mi ivm9329)  
This article is cited in 4 scientific papers (total in 4 papers)

Solving a problem of Robin type for biharmonic equation

V. V. Karachik

South Ural State University, 76 Lenin Ave., Chelyabinsk, 454080 Russia
Full-text PDF (246 kB) Citations (4)
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Abstract: We investigate existence and uniqueness conditions for solution to one Robin type problem for inhomogeneous biharmonic equation in the unit ball. We construct polynomial solution to the problem when the boundary functions of the problems are polynomials.
Keywords: biharmonic equation, Robin type problem, harmonic polynomials, solvability conditions, polynomial solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0011
Received: 24.10.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 2, Pages 34–48
DOI: https://doi.org/10.3103/S1066369X18020056
Bibliographic databases:
Document Type: Article
UDC: 517.575
Language: Russian
Citation: V. V. Karachik, “Solving a problem of Robin type for biharmonic equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 2, 39–53; Russian Math. (Iz. VUZ), 62:2 (2018), 34–48
Citation in format AMSBIB
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\pages 39--53
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\vol 62
\issue 2
\pages 34--48
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  • https://www.mathnet.ru/eng/ivm/y2018/i2/p39
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    References:68
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