Displaying similar documents to “A note on the bifurcation of solutions for an elliptic sublinear problem”

Sharp estimates for the Ambrosetti-Hess problem and consequences

José Gámez, Juan Ruiz-Hidalgo (2006)

Journal of the European Mathematical Society

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Motivated by [3], we define the “Ambrosetti–Hess problem” to be the problem of bifurcation from infinity and of the local behavior of continua of solutions of nonlinear elliptic eigenvalue problems. Although the works in this direction underline the asymptotic properties of the nonlinearity, here we point out that this local behavior is determined by the global shape of the nonlinearity.