Skip to main content
Log in

Variational and boundary value problems in the presence of friction on the inner boundary

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. S. A. Nazarov and B. A. Plamenevskiî, Elliptic Problems in Domains with Piecewise Smooth Boundary [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  2. V. A. Kondrat'ev and O. A. Oleînik, “Boundary value problems for partial differential equations in nonsmooth domains,” Uspekhi Mat. Nauk,38, No. 2, 3–76 (1983).

    MATH  Google Scholar 

  3. V. G. Maz'ya, N. F. Morozov, and B. A. Plamenevskii, “Nonlinear bending of a plate with a crack,” in: Differential and Integral Equations. Boundary Value Problems [in Russian], Tbilis. Univ., Tbilisi, 1979, pp. 145–163.

    Google Scholar 

  4. R. Duduchava and W. Wendland, “The Wiener-Hopf method for systems of pseudodifferential equations with an application to crack problems,” Integral Equations Operator Theory,23, No. 1, 294–335 (1995).

    Article  MATH  Google Scholar 

  5. A. M. Khludnev, “A contact problem for a shallow shell with a crack,” Prikl. Mat. Mekh.,59, No. 2, 318–326 (1995).

    Google Scholar 

  6. G. Devaut and J.-L. Lions, Inequalities in Mechanics and Physics [Russian translation], Nauka, Moscow (1980).

    Google Scholar 

  7. R. Glowinski, J.-L. Lions, and R. Tremolieres, Numerical Analysis of Variational Inequalities [Russian translation], Mir, Moscow (1979).

    MATH  Google Scholar 

  8. I. Hlavaček, J. Haslinger, J. Nečas, and J. Lovišek, Solution of Variational Inequalities in Mechanics [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  9. V. A. Kovtunenko, “An iterative penalty method for a problem with constraints on the inner boundary,” Sibirsk. Mat. Zh.,37, No. 3, 585–591 (1996).

    Google Scholar 

  10. V. Kovtunenko, “Iterative approximations of penalty operators,” Numer. Funct. Anal. Optim.,18, No. 3–4, 383–387 (1997).

    Article  MATH  Google Scholar 

  11. V. Kovtunenko, “Analytical solution of a variational inequality for a cutted bar,” Control Cybernet.,25, No. 4, 801–808 (1996).

    MATH  Google Scholar 

  12. I. Ekeland and R. Temam, Convex Analysis and Variational Problems [Russian translation], Mir, Moscow (1979).

    MATH  Google Scholar 

  13. J.-L. Lions and E. Magenes, Inhomogeneous Boundary Value Problems and Their Applications [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  14. D. Kinderlehrer and G. Stampacchia, An Introduction to Variational Inequalities and Their Applications [Russian translation], Mir, Moscow (1983).

    MATH  Google Scholar 

Download references

Authors

Additional information

The research was financially supported by the Russian Foundation for Basic Research (Grant 97-01-00896)

Novosibirsk. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 5, pp. 1060–1073, September–October, 1998

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kovtunenko, V.A. Variational and boundary value problems in the presence of friction on the inner boundary. Sib Math J 39, 913–926 (1998). https://doi.org/10.1007/BF02672913

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02672913

Keywords

Navigation