Isoparametric hypersurfaces and metrics of constant scalar curvature

We showed the existence of non-radial solutions of the equation δu - λu + λuq = 0 on the round sphere Sm, for q < (m+2)/(m-2), and study the number of such solutions in terms of λ. We show that for any isoparametric hypersurface M ⊂ Sm there are solutions such that M is a regular level set (a...

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Autores principales: Henry, G., Petean, J.
Formato: SER
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_10936106_v18_n1_p53_Henry
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