Session S33 - Spectral Geometry

Monday, July 12, 14:30 ~ 14:50 UTC-3

Local bifurcation for Yamabe type equations

Jimmy Petean

CIMAT, Mexico   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider subcritical Yamabe type equations depending on a real parameter. Local bifurcation from the trivial family of solutions happens when the parameter equals (a fixed multiple of) an eigenvalue of the Laplacian. We will focus in the case of the round sphere and discuss the local structure of the space of solutions at these bifurcation points, which is related to certain integrals involving the corresponding eigenfunctions.

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