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# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

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

### Tom 79 / 2002

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 $b$.