Infinitely many solutions for a semilinear elliptic equation in ${\Bbb R}^N$ via a perturbation method
Volume 79 / 2002
Annales Polonici Mathematici 79 (2002), 139-156
MSC: Primary 35J65.
DOI: 10.4064/ap79-2-5
Abstract
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 $b$.
