Infinite multiplicity for inhomogeneous supercritical problem in entire space

preprint2010arXivOpen access

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.

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