Trudy Seminara imeni I. G. Petrovskogo
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Trudy Seminara imeni I. G. Petrovskogo, 2016, Issue 31, Pages 87–109 (Mi tsp91)  
This article is cited in 1 scientific paper (total in 1 paper)

Mixed Dirichlet–Steklov problem for the biharmonic equation in weighted spaces

H. A. Matevossian
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Abstract: We address the uniqueness of weak solutions of the mixed Dirichlet–Steklov problem for the biharmonic equation in the exterior of a compact set in the class of functions having a finite Dirichlet integral with the weight $|x|^a$. Depending on the parameter $a$, we establish some uniqueness theorems and obtain precise formulas for the dimension of the space of solutions.
English version:
Journal of Mathematical Sciences (New York), 2018, Volume 234, Issue 4, Pages 440–454
DOI: https://doi.org/10.1007/s10958-018-4021-8
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: H. A. Matevossian, “Mixed Dirichlet–Steklov problem for the biharmonic equation in weighted spaces”, Tr. Semim. im. I. G. Petrovskogo, 31, 2016, 87–109; J. Math. Sci. (N. Y.), 234:4 (2018), 440–454
Citation in format AMSBIB
\Bibitem{Mat16}
\by H.~A.~Matevossian
\paper Mixed Dirichlet--Steklov problem for the biharmonic equation in weighted spaces
\serial Tr. Semim. im. I.~G.~Petrovskogo
\yr 2016
\vol 31
\pages 87--109
\mathnet{http://mi.mathnet.ru/tsp91}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2018
\vol 234
\issue 4
\pages 440--454
\crossref{https://doi.org/10.1007/s10958-018-4021-8}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85052679094}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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