Solution Brances of a semilinear elliptic problem at corak-2 Bifurcation points.
Zhen Mei (1992)
Manuscripta mathematica
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Zhen Mei (1992)
Manuscripta mathematica
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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.
Nicolas Dutertre (1997)
Manuscripta mathematica
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C.J. Amick, J.F. Toland (1983)
Mathematische Annalen
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Jolanta Przybycin (1989)
Annales Polonici Mathematici
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André L. Vanderbauwhede (1986)
Archivum Mathematicum
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Thomas Bartsch, Mónica Clapp (1990)
Mathematische Zeitschrift
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Alessio Porretta (2002)
Rendiconti del Seminario Matematico della Università di Padova
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Jolanta Przybycin (1999)
Annales Polonici Mathematici
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We give a sufficient condition for [μ-M, μ+M] × {0} to be a bifurcation interval of the equation u = L(λu + F(u)), where L is a linear symmetric operator in a Hilbert space, μ ∈ r(L) is of odd multiplicity, and F is a nonlinear operator. This abstract result provides an elementary proof of the existence of bifurcation intervals for some eigenvalue problems with nondifferentiable nonlinearities. All the results obtained may be easily transferred to the case of bifurcation from infinity. ...
Covadonga Blanco García, Carmen Rodríguez Iglesias (1987)
Extracta Mathematicae
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