Infinite multiplicity for inhomogeneous supercritical problem in entire space
arXiv:1001.1787
Abstract
In this paper, we will prove the existence of infinitely many positive solutions to the following supercritical problem by using the Liapunov-Schmidt reduction method and asymptotic analysis: {ll}Δu + u^{p}+f(x)=0, u>0 {in} R^{n}, \lim_{|x|\to\infty}u(x)\to 0.
10 pages