Displaying similar documents to “Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip ? GlobalTheory of Bifurcation and Asymptotic Bifurcation.”

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.

On a nonlinear elliptic system: resonance and bifurcation cases

Mario Zuluaga Uribe (1999)

Commentationes Mathematicae Universitatis Carolinae

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In this paper we consider an elliptic system at resonance and bifurcation type with zero Dirichlet condition. We use a Lyapunov-Schmidt approach and we will give applications to Biharmonic Equations.