Loading [MathJax]/jax/output/SVG/config.js
Trudy Moskovskogo Matematicheskogo Obshchestva
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Journal history

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Tr. Mosk. Mat. Obs.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Trudy Moskovskogo Matematicheskogo Obshchestva, 1987, Volume 50, Pages 79–129 (Mi mmo470)  

This article is cited in 19 scientific papers (total in 19 papers)

Asymptotic behavior of energy integrals under small perturbations of the boundary near corner and conic points

V. G. Maz'ya, S. A. Nazarov
Bibliographic databases:
Document Type: Article
UDC: 517.946
MSC: Primary 35B40; Secondary 35J45, 73M05
Language: Russian
Citation: V. G. Maz'ya, S. A. Nazarov, “Asymptotic behavior of energy integrals under small perturbations of the boundary near corner and conic points”, Tr. Mosk. Mat. Obs., 50, MSU, M., 1987, 79–129
Citation in format AMSBIB
\Bibitem{MazNaz87}
\by V.~G.~Maz'ya, S.~A.~Nazarov
\paper Asymptotic behavior of energy integrals under small perturbations of the boundary near corner and conic points
\serial Tr. Mosk. Mat. Obs.
\yr 1987
\vol 50
\pages 79--129
\publ MSU
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=912054}
\zmath{https://zbmath.org/?q=an:0699.35072}
Linking options:
  • https://www.mathnet.ru/eng/mmo470
  • https://www.mathnet.ru/eng/mmo/v50/p79
  • This publication is cited in the following 19 articles:
    1. N. V. Neustroeva, N. P. Lazarev, “The derivative of the energy functional in an equilibrium problem for a Timoshenko plate with a crack on the boundary of an elastic inclusion”, J. Appl. Industr. Math., 11:2 (2017), 252–262  mathnet  crossref  crossref  elib
    2. E. V. Pyatkina, “Optimal control of the shape of a layer shape in the equilibrium problem of elastic bodies with overlapping domains”, J. Appl. Industr. Math., 10:3 (2016), 435–443  mathnet  crossref  crossref  mathscinet  elib
    3. E. V. Pyatkina, “On control problem for two-layers elastic body with a crack”, J. Math. Sci., 230:1 (2018), 159–166  mathnet  crossref  crossref
    4. Rudoi E.M., “Asimptotika funktsionala energii dlya trekhmernogo tela s zhestkim vklyucheniem i treschinoi”, Prikladnaya mekhanika i tekhnicheskaya fizika, 52:2 (2011), 114–127 Asymptotic behavior of the energy functional for a three-dimensional body with a rigid inclusion and a crack  elib
    5. S. A. Nazarov, “The Eshelby theorem and the problem on optimal patch”, St. Petersburg Math. J., 21:5 (2010), 791–818  mathnet  crossref  mathscinet  zmath  isi
    6. E. M. Rudoy, “Asymptotics of the energy functional for a fourth-order mixed boundary value problem in a domain with a cut”, Siberian Math. J., 50:2 (2009), 341–354  mathnet  crossref  mathscinet  isi
    7. S. A. Nazarov, “Asymptotic modeling of a problem with contrasting stiffness”, J. Math. Sci. (N. Y.), 167:5 (2010), 692–712  mathnet  crossref  elib
    8. Nazarov S.A., “Scenarios for the Quasistatic Growth of a Slightly Curved and Kinked Crack”, Pmm-J. Appl. Math. Mech., 72:3 (2008), 347–359  crossref  mathscinet  zmath  isi  scopus
    9. E. V. Vtorushin, “Control of the shape of a crack in an elastic body under the condition of possible contact of edges”, J. Appl. Industr. Math., 2:2 (2008), 290–299  mathnet  crossref  mathscinet
    10. E. M. Rudoi, “Vybor optimalnoi formy poverkhnostnykh treschin v trekhmernykh telakh”, Vestn. NGU. Ser. matem., mekh., inform., 6:2 (2006), 76–87  mathnet
    11. A. A. Kulikov, S. A. Nazarov, “Cracks in piezoelectric and electroconductive bodies”, J. Appl. Industr. Math., 1:2 (2007), 201–216  mathnet  crossref  mathscinet  elib
    12. E. M. Rudoy, “Differentiation of energy functionals in the three-dimensional theory of elasticity for bodies with surface cracks”, J. Appl. Industr. Math., 1:1 (2007), 95–104  mathnet  crossref  mathscinet
    13. E. M. Rudoy, “Invariant integrals for the equilibrium problem for a plate with a crack”, Siberian Math. J., 45:2 (2004), 388–397  mathnet  crossref  mathscinet  zmath  isi
    14. I. I. Argatov, J. Sokolowski, “Asymptotics of the energy functional in the Signorini problem under small singular perturbation of the domain”, Comput. Math. Math. Phys., 43:5 (2003), 710–724  mathnet  mathscinet  zmath  elib
    15. N. P. Lazarev, “Differentsirovanie funktsionala energii dlya zadachi o ravnovesii tela, soderzhaschego treschinu, s kraevymi usloviyami Sinorini”, Sib. zhurn. industr. matem., 5:2 (2002), 139–147  mathnet  mathscinet  zmath
    16. Argatov I., Nazarov S., “Energy Release Caused by the Kinking of a Crack in a Plane Anisotropic Solid”, Pmm-J. Appl. Math. Mech., 66:3 (2002), 491–503  crossref  mathscinet  zmath  isi  scopus
    17. Sokolowski J., Khludnev A., “The Derivative of the Energy Functional Along the Crack Length in Problems of the Theory of Elasticity”, Pmm-J. Appl. Math. Mech., 64:3 (2000), 449–456  crossref  mathscinet  isi  scopus
    18. S. A. Nazarov, A. S. Slutskij, “Asymptotic behaviour of solutions of boundary-value problems for equations with rapidly oscillating coefficients in a domain with a small cavity”, Sb. Math., 189:9 (1998), 1385–1422  mathnet  crossref  crossref  mathscinet  zmath  isi
    19. S. A. Nazarov, “Selfadjoint extensions of the Dirichlet problem operator in weighted function spaces”, Math. USSR-Sb., 65:1 (1990), 229–247  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Trudy Moskovskogo Matematicheskogo Obshchestva
    Statistics & downloads:
    Abstract page:380
    Full-text PDF :136
     
      Contact us:
    math-net2025_04@mi-ras.ru
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025