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Critical point theory for perturbations of symmetric functionals

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Commentarii Mathematici Helvetici

Abstract

Functionals which are invariant under the action of a compact transformation groupG often have many critical values. Here we consider functionals which are notG-invariant and give conditions for them to have infinitely many critical values; including a mountain pass theorem. We apply it to prove the existence of infinitely many solutions of a nonlinear Dirichlet problem with perturbedG-symmetries.

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Authors and Affiliations

  1. Instituto de Matemáticas, Universidad Nacional Autónoma de México Circuito Exterior, Ciudad Universitaria, 04510, Mexico, D.F., México

    Mónica Clapp

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  1. Mónica Clapp
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Clapp, M. Critical point theory for perturbations of symmetric functionals. Commentarii Mathematici Helvetici 71, 570–593 (1996). https://doi.org/10.1007/BF02566437

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  • DOI: https://doi.org/10.1007/BF02566437

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