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Infinitely many solutions for a semilinear elliptic equation in ${\Bbb R}^N$ via a perturbation method

Tom 79 / 2002

Marino Badiale Annales Polonici Mathematici 79 (2002), 139-156 MSC: Primary 35J65. DOI: 10.4064/ap79-2-5

Streszczenie

We introduce a method to treat a semilinear elliptic equation in ${{{\mathbb R}}^N}$ (see equation (1) below). This method is of a perturbative nature. It permits us to skip the problem of lack of compactness of ${{{\mathbb R}}^N}$ but requires an oscillatory behavior of the potential $b$.

Autorzy

  • Marino BadialeDipartimento di Matematica
    Università di Torino
    via Carlo Alberto 10
    10123 Torino, Italy
    e-mail

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