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arXiv · 2107.08181

Global bifurcation for a class of nonlinear ODEs

Renato G. Bettiol·Paolo Piccione
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Abstract

We briefly survey global bifurcation techniques, and illustrate their use by finding multiple positive periodic solutions to a class of second order quasilinear ODEs related to the Yamabe problem. As an application, we give a bifurcation-theoretic proof of a classical nonuniqueness result for conformal metrics with constant scalar curvature, that was independently discovered by O. Kobayashi and R. Schoen in the 1980s.

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Renato G. Bettiol, Paolo Piccione. 2021-07-17. Global bifurcation for a class of nonlinear ODEs. https://doi.org/10.1007/s40863-022-00290-3

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