Skip to main content
Log in

Breaking of symmetries for forced equations

  • Published:
Mathematische Annalen 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.

Institutional subscriptions

References

  1. Adams, R.: Sobolev spaces. New York: Academic Press 1975

    Google Scholar 

  2. Cartan, H.: Differential calculus. London: Kershaw 1971

    Google Scholar 

  3. Conley, C.: Isolated invariant sets and the Morse index, CBMS regional conference series in mathematics, No. 38. Providence: Am. Math. Soc. 1978

    Google Scholar 

  4. Crandall, M., Rabinowitz, P.: Bifurcation, perturbation of simple eigenvalues and linearized stability. Arch. Rational Mech. Anal.52, 161–180 (1973)

    Article  Google Scholar 

  5. Dancer, E.N.: Symmetries, degree, homotopy indices, and asymptotically homogeneous problems. To appear in Nonlinear analysis, Theory, Methods, and Applications

  6. Dancer, E.N.: Non-uniqueness for nonlinear boundary-value problems (submitted)

  7. Dunford, N., Schwartz, J.T.: Linear operators, Vol. II. New York: Interscience 1964

    Google Scholar 

  8. Friedman, A.: Paritial differential equations. New York: Holt, Reinhart, and Winston (1969)

    Google Scholar 

  9. Geba, K., Granas, A.: On the cohomology theory in normed linear spaces. In Symposium on Infinite Dimensional Topology, Anderson, R. (ed.). Princeton: Princeton University Press 1972

    Google Scholar 

  10. Gidas, B., Ni, W., Nirenberg, L.: Symmetry and related properties by the maximum principle. Commun. Math. Phys.68, 209–243 (1979)

    Google Scholar 

  11. Henry, D.: Geometry theory of semilinear parabolic equations. In: Lecture Notes in Mathematics, Vol. 840. Berlin, Heidelberg, New York: Springer 1981

    Google Scholar 

  12. Kato, T.: Perturbation theory for linear operators. Berlin, Heidelberg, New York: Springer 1966

    Google Scholar 

  13. Komatsu, H.: Fractional powers of operators. Pacific J. Math.19, 285–346 (1967)

    Google Scholar 

  14. Rybakowski, K.: On the homotopy index for infinite-dimensional semiflows. Trans. Am. Math. Soc.269, 351–381 (1982)

    Google Scholar 

  15. Taliaferro, S.: Stability of solutions bifurcating from multiple eigenvalues. J. Functional Analysis44, 24–49 (1981)

    Google Scholar 

  16. Troy, W.: Symmetry properties in systems of semilinear elliptic equations. J. Differential Equations42, 400–413 (1982)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dancer, E.N. Breaking of symmetries for forced equations. Math. Ann. 262, 473–486 (1983). https://doi.org/10.1007/BF01456062

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01456062

Navigation