Open AccessA remark on the bifurcation diagrams of superlinear elliptic equations
Author(s) -
Abbas Bahri
Publication year - 2006
Publication title -
journal of the european mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.549
H-Index - 64
eISSN - 1435-9863
pISSN - 1435-9855
DOI - 10.4171/jems/46
Subject(s) - mathematics , bifurcation diagram , bifurcation , rotation number , saddle node bifurcation , mathematical analysis , rotation (mathematics) , bifurcation theory , pure mathematics , transcritical bifurcation , geometry , nonlinear system , physics , quantum mechanics
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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