Global bifurcation for a class of nonlinear ODEs

Autor:	Bettiol, Renato G., Piccione, Paolo
Rok vydání:	2021
Předmět:	Mathematics - Differential Geometry Mathematics - Classical Analysis and ODEs 34C23 53C21 58J55
Zdroj:	S\~ao Paulo J. Math. Sci. 16 (2022), no. 1, 486-507
Druh dokumentu:	Working Paper
DOI:	10.1007/s40863-022-00290-3
Popis:	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. Comment: LaTeX2e, 19 pages, 2 figures, final (revised) version. To appear in S\~ao Paulo J. Math. Sci
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2107.08181 Zobrazit plný text záznamu View this record from Arxiv