JournalsjemsVol. 8, No. 2pp. 287–294

Sharp estimates for the Ambrosetti-Hess problem and consequences

  • José L. Gámez

    Universidad de Granada, Spain
  • Juan F. Ruiz-Hidalgo

    I.E.S. Antonio de Mendoza, Alcalá La Real, Jaén, Spain
Sharp estimates for the Ambrosetti-Hess problem and consequences cover
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Abstract

Motivated by {3}, we define the ``Ambrosetti-Hess problem'' to be the problem of bifurcation from infinity and study of the local behavior of continua of solutions of nonlinear elliptic eigenvalue problems. Although the works in this way underline the asymptotic properties on the nonlinearity, here we point out that this local behavior is determined by the global shape of the nonlinearity.

Cite this article

José L. Gámez, Juan F. Ruiz-Hidalgo, Sharp estimates for the Ambrosetti-Hess problem and consequences. J. Eur. Math. Soc. 8 (2006), no. 2, pp. 287–294

DOI 10.4171/JEMS/53