Skip to main content
SpringerLink
Log in

On the behavior at infinity of solutions of elliptic systems with a finite energy integral

  • Published:
Archive for Rational Mechanics and Analysis 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. J. Serrin & H. Weinberger, Isolated singularities of linear elliptic equations. Amer. Math. Journ., 1966, v. 88, Nr. 1, p. 258–272.

    Google Scholar 

  2. V. A. Kondratiev & O. A. Oleinik, Sur un probléme de E. Sanchez-Palencia. C. R. Acad. Sci. Paris, 1984, v. 299, ser. 1, Nr. 15, p. 745–748.

    Google Scholar 

  3. V. A. Kondratiev & O. A. Oleinik, On periodic in the time solutions of a second order parabolic equation in exterior domains. Vestnik of the Moscow University, Math. Mech., ser. 1, 1985, Nr. 4, p. 38–47.

    Google Scholar 

  4. B. R. Wainberg, On solutions of elliptic equations with constant coefficients and a right hand side growing at the infinity. Vestnik of the Moscow University. Math. Mech., ser. 1, 1968, Nr. 1, p. 41–48.

  5. Ja. B. Lopatinsky, The behaviour at infinity of solutions of systems of differential equations of the elliptic type. Dokl. AN Ukr. SSR, 1959, Nr. 9, p. 931–935.

  6. S. L. Sobolev, Introduction to the theory of cubature formulas. Moscow, Nauka, 1974.

    Google Scholar 

  7. E. M. Landis & G. P. Panasenko, On a variant of the Phragmen-Lindelöf type theorem for elliptic equations with coefficients periodic in all variables except one. Trudi seminara imeni I. G. Petrovsky, 1979, v. 5, p. 105–136.

    Google Scholar 

  8. O. A. Oleinik & G. A. Yosifian, On the behavior at infinity of solutions of second order elliptic equations in domains with noncompact boundary. Matem. Sbornik, 1980, v. 112, Nr. 4, p. 588–610.

    Google Scholar 

  9. O. A. Oleinik & G. A. Yosifian, On the asymptotic behavior at infinity of solutions in linear elasticity. Archive Rational Mech. and Analysis, 1982, v. 78, Nr. 1, p. 29–53.

    Google Scholar 

  10. A. Douglis & L. Nirenberg, Interior estimates for elliptic systems of partial differential equations. Comm. Pure Appl. Math., 1955, v. 8, p. 503–538.

    Google Scholar 

  11. Ja. B. Lopatinsky, Fundamental solutions of a system of differential equations of elliptic type. Ukr. mat. journal, 1951, v. 3, Nr. 1, p. 3–38.

    Google Scholar 

  12. L. Bers, F. John, & M. Schechter, Partial differential equations, Interscience publishers, New York, 1964.

    Google Scholar 

  13. I. M. Gelfand & G. E. Shilov, Generalized functions, v. 3, Moscow, 1958.

Download references

Author information

Authors and Affiliations

  1. Moscow University, USSR

    V. A. Kondratiev & O. A. Oleinik

Authors
  1. V. A. Kondratiev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. A. Oleinik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to J. Serrin on his 60th birthday

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kondratiev, V.A., Oleinik, O.A. On the behavior at infinity of solutions of elliptic systems with a finite energy integral. Arch. Rational Mech. Anal. 99, 75–89 (1987). https://doi.org/10.1007/BF00251392

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251392

Keywords

Search

Navigation