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 Mat. Sb., 2001, Volume 192, Number 12, Pages 25–60 (Mi msb615)

This article is cited in 5 scientific papers (total in 5 papers)

Solutions of exterior boundary-value problems for the elasticity system in weighted spaces

H. Matevossian

M. V. Lomonosov Moscow State University

Abstract: The properties of generalized solutions of the exterior Dirichlet and Neumann boundary-value problems are studied for the stationary linear system of elasticity theory in unbounded domains under the assumption that generalized solutions of these problems have finite energy integrals with weight $|x|^a$. Depending on the value of the parameter $a$ uniqueness results are established and explicit formulae for the dimension of the space of solutions of the exterior boundary-value problems are obtained.

DOI: https://doi.org/10.4213/sm615

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English version:
Sbornik: Mathematics, 2001, 192:12, 1763–1798

Bibliographic databases:

UDC: 517.95
MSC: Primary 74B05, 35G15; Secondary 74H20, 74H25
Received: 17.01.2000 and 30.01.2001

Citation: H. Matevossian, “Solutions of exterior boundary-value problems for the elasticity system in weighted spaces”, Mat. Sb., 192:12 (2001), 25–60; Sb. Math., 192:12 (2001), 1763–1798

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. O. A. Matevosyan, “Solutions of the Robin problem for the system of elastic theory in external domains”, J. Math. Sci. (N. Y.), 197:3 (2014), 367–394
2. H. A. Matevossian, “On Solutions of the Neumann Problem for the Biharmonic Equation in Unbounded Domains”, Math. Notes, 98:6 (2015), 990–994
3. Matevosyan O.A., “On solutions of a boundary value problem for the biharmonic equation”, Differ. Equ., 52:10 (2016), 1379–1383
4. H. A. Matevossian, “Mixed Dirichlet–Steklov problem for the biharmonic equation in weighted spaces”, J. Math. Sci. (N. Y.), 234:4 (2018), 440–454
5. Matevossian H.A., “On the Polyharmonic Neumann Problem in Weighted Spaces”, Complex Var. Elliptic Equ., 64:1 (2019), 1–7
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