Skip to main content
SpringerLink
Log in

Unimprovable derivative estimates of a solution of the dirichlet problem for a biharmonic equation in bounded domains

  • Published:
Mathematical Notes Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. V. A. Kondratyev, “Boundary-value problems for elliptic equations in domains with cone or corner points,”Tr. Most Mat. Obsch.,16, 209–292 (1967).

    Google Scholar 

  2. V. G. Mazya, “On the behavior of solutions of the Dirichlet problem for a biharmonic operator near the boundary,”Dokl. Akad. Nauk SSSR, No. 6, 1263–1266 (1977).

    Google Scholar 

  3. G. A. Iosifyan and O. A. Oleinik, “The Saint-Venant principle in the plane theory of elasticity and boundary-value problems for a biharmonic equation in unbounded domains,”Sib. Mat. Zh.,19, No. 5, 1154–1165 (1978).

    Google Scholar 

  4. V. A. Kondrayev, I. Kopachek, and O. A. Oleinik, “On asymptotic properties of solutions of a biharmonic equation,”Differents. Uravn.,17, No. 10, 1886–1899 (1981).

    Google Scholar 

  5. O. A. Oleinik, “On some mathematical problems of elasticity,”Atti dei convegni Lincei. Accad. Naz. dei Lincei, No. 77 (1986).

  6. M. Dauge, “Elliptic boundary value problems on corner's domains,”Led. Notes Math., No. 1341 (1988).

  7. S. P. Levashkin, “Boundary-value problems for nonclassical equations of mathematical physics,” In:Boundary Problems for Non-Classical Equations of Mathematical Physics, Inst. Mat. Akad. Nauk, Novosibirsk (1989), pp. 128–132.

    Google Scholar 

  8. S. P. Levashkin, “On asymptotic properties of generalized solutions of the Dirichlet problem for polyharmonic equations in nonsmooth domains,”Usp. Mat. Nauk,44, No. 5, 171–172 (1989).

    Google Scholar 

  9. S. Agmon, A. Dugdis, and L. Nirenberg,Estimates for Solutions of Elliptic Equations near the Boundary [Russian translation], Inostr. Lit., Moscow (1962).

    Google Scholar 

  10. V. G. Mazya and T. O. Shaposhnikova,Multiplicators in Spaces of Differentiale Functions [in Russian], Leningrad Univ., Leningrad (1986).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Moscow State Pedagogical University, USSR

    S. P. Levashkin

Authors
  1. S. P. Levashkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Matematicheskie Zametki, Vol. 55, No. 6, pp. 80–89, June, 1994.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Levashkin, S.P. Unimprovable derivative estimates of a solution of the dirichlet problem for a biharmonic equation in bounded domains. Math Notes 55, 601–607 (1994). https://doi.org/10.1007/BF02110355

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02110355

Keywords

Search

Navigation