September 21, 2024

Multiplicity of 2-nodal solutions of the Yamabe equation

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Resumen

Given a closed Riemannian manifold (M, g), we use the gradient flow method and Sign-Changing Critical Point Theory to prove multiplicity results for 2-nodal solutions of a subcritical non-linear equation on (M, g), see yam-nodal-1 below. If (N, h) is a closed Riemannian manifold of constant positive scalar curvature our result gives multiplicity results for the Yamabe-type equation on the Riemannian product (M N, g + h), for > 0 small.

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Cite This Study

Ortiz et al. (Sat,) studied this question.

synapsesocial.com/papers/68e57c24b6db64358751b77d https://doi.org/https://doi.org/10.12775/tmna.2023.062

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