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- W4287870794 abstract "We consider a closed cohomogeneity one Riemannian manifold $(M^n,g) $ of dimension $ngeq 3$. If the Ricci curvature of $M$ is positive, we prove the existence of infinite nodal solutions for equations of the form $-Delta_g u + lambda u = lambda u^q$ with $lambda >0$, $q>1$. In particular for a positive Einstein manifold which is of cohomogeneity one or fibers over a cohomogeniety one Einstein manifold we prove the existence of infinite nodal solutions for the Yamabe equation, with a prescribed number of connected components of its nodal domain." @default.
- W4287870794 created "2022-07-26" @default.
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- W4287870794 date "2020-02-05" @default.
- W4287870794 modified "2023-09-29" @default.
- W4287870794 title "Nodal solutions of Yamabe-type equations on positive Ricci curvature manifolds" @default.
- W4287870794 doi "https://doi.org/10.48550/arxiv.2002.01654" @default.
- W4287870794 hasPublicationYear "2020" @default.
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