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The Equivariant Second Yamabe Constant

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Abstract

For a closed Riemannian manifold of dimension \(n\ge 3\) and a subgroup G of the isometry group, we define and study the G-equivariant second Yamabe constant and obtain some results on the existence of G-invariant nodal solutions of the Yamabe equation.

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Authors and Affiliations

  1. Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Ciudad Universitaria, Pab. I., C1428EHA, Buenos Aires, Argentina

    Guillermo Henry

  2. CONICET, Buenos Aires, Argentina

    Guillermo Henry

  3. Institut für Mathematik, Goethe Universität Frankfurt, Robert-Mayer-Str. 10, 60325, Frankfurt am Main, Germany

    Farid Madani

Authors
  1. Guillermo Henry
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  2. Farid Madani
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Corresponding author

Correspondence to Guillermo Henry.

Additional information

G. Henry was partially supported by Grants 20020120200244BA from Universidad de Buenos Aires and PIP 11220110100742 from CONICET.

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Henry, G., Madani, F. The Equivariant Second Yamabe Constant. J Geom Anal 28, 3747–3774 (2018). https://doi.org/10.1007/s12220-017-9978-x

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  • DOI: https://doi.org/10.1007/s12220-017-9978-x

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