Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip ? GlobalTheory of Bifurcation and Asymptotic Bifurcation.
C.J. Amick, J.F. Toland (1983)
Mathematische Annalen
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Displaying similar documents to “On a nonlinear elliptic system: resonance and bifurcation cases”
Nonlinear Elliptic Eigenvalue Problems on an Infinite Strip ? GlobalTheory of Bifurcation and Asymptotic Bifurcation.
Positive solution of asymptotically linear elliptic eigenvalue problems for certain differential equations of the fourth order
Jan Bochenek (1985)
Annales Polonici Mathematici
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Some applications of bifurcation theory to ordinary differential equations of the fourth order
Jolanta Przybycin (1991)
Annales Polonici Mathematici
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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.
A remark on the bifurcation diagrams of superlinear elliptic equations
Abbas Bahri (2006)
Journal of the European Mathematical Society
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We prove a formula relating the index of a solution and the rotation number of a certain complex vector along bifurcation diagrams.
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Raffaele Chiappinelli (1989)
Commentationes Mathematicae Universitatis Carolinae
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Alessio Porretta (2002)
Rendiconti del Seminario Matematico della Università di Padova
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