Work

Multiplicity of 2-nodal solutions of the Yamabe equation

Year: 2024

Type: article

Abstract: 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 \eqref{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 $(M\times N , g + \ve h )$, for $\ve > 0$ small.

Source: Topological Methods in Nonlinear Analysis

DOI: 10.12775/tmna.2023.062

Authors: Jorge Dávila Ortiz, Héctor Barrantes González, Isidro H. Munive Lima

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4402782125

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