Fast decaying solutions of Lane-Emden equations involving nonhomogeneous potential

Abstract

We are interested in studying positive solutions of Lane-Emden equation $$-\Delta u=V{u}^p\mathrm{in}{\mathbb{R}}^N\setminus \{0\},$$ where $V$ is a nonhomogeneous potential satisfying some extra hypotheses. We construct a sequence of fast decaying solutions.

23 pages