Skip to main content
SpringerLink
Log in

Global structure of positive solutions to equations of Matukuma type

  • 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. Ding, W.-Y. & Ni, W.-M, On the elliptic equation Δu + Ku (n+2)/(n−2) = 0 and related topics, Duke Math. J. 52 (1985), 485–506.

    Google Scholar 

  2. Kawano, N., Yanagida, E. & Yotsutani, S., Structure theorems for positive radial solutions to Δu + K(|x|)u p = 0 in R n, Funkcial. Ekvac. 36 (1993), 557–579.

    Google Scholar 

  3. Kusano, T. & Naito, M., Oscillation theory of entire solutions of second order superlinear elliptic equation, Funkcial. Ekvac. 31 (1988), 121–145.

    Google Scholar 

  4. Li, Y., On the positive solutions of Matukuma equation, preprint.

  5. Lin, C.-S., Uniqueness of least energy solutions to a semilinear elliptic equation in R 2, preprint.

  6. Li, Y. & Ni, W.-M., On the existence and symmetry properties of finite total mass solutions of the Matukuma equation, the Eddington equation and their generalizations, Arch. Rational Mech. Anal. 108 (1989), 175–194.

    Google Scholar 

  7. Li, Y. & Ni, W.-M., On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in R n, I. Asymptotic behavior, Arch. Rational Mech. Anal. 118 (1992), 195–222.

    Google Scholar 

  8. Li, B. &Ni, W.-M., On the asymptotic behavior and radial symmetry of positive solutions of semilinear elliptic equations in R n II. Radial symmetry, Arch. Rational Mech. Anal. 118 (1992), 223–243.

    Google Scholar 

  9. Matukuma, Y., The Cosmos (in Japanese), Iwanami Shoten, Tokyo, 1938

    Google Scholar 

  10. Naito, M., Radial entire solutions of the linear equation Δu + λp(|x|)u = 0, Hiroshima Math. J. 19 (1989), 431–439.

    Google Scholar 

  11. Ni, W.-M. & Yotsutani, S., Semilinear elliptic equations of Matukuma-type and related topics, Japan J. Appl. Math. 5 (1988), 1–32.

    Google Scholar 

  12. Simmons, G. F., Differential equations with applications and historical notes, McGraw-Hill, New York, 1972.

    Google Scholar 

  13. Yanagida, E., Structure of positive radial solutions of Matukuma's equation, Japan J. Indust. Appl. Math. 8 (1991), 165–173.

    Google Scholar 

  14. Yanagida, E. & Yotsutani, S., Existence of positive radial solutions to Δu + K(|x|)u p = 0 in R n, J. Diff. Eqs., 20 (1995), 477–502.

    Google Scholar 

  15. Yanagida, E. & Yotsutani, S., Classification of the structure of positive radial solutions to Δu + K(|x|)u p = 0 in R n, Arch. Rational Mech. Anal. 124 (1993), 239–259.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematical and Computing Sciences, Tokyo Institute of Technology, Meguro-ku, 152, Tokyo, Japan

    Eiji Yanagida & Shoji Yotsutani

  2. Department of Applied Mathematics and Informatics, Ryukoku University, Seta, 520-21, Ohtsu, Japan

    Eiji Yanagida & Shoji Yotsutani

Authors
  1. Eiji Yanagida
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Shoji Yotsutani
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. Serrin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yanagida, E., Yotsutani, S. Global structure of positive solutions to equations of Matukuma type. Arch. Rational Mech. Anal. 134, 199–226 (1996). https://doi.org/10.1007/BF00379534

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00379534

Keywords

Search

Navigation