arXiv:1001.1787 Abstract | arXiv Analytics

arXiv:1001.1787 [math.AP]Abstract References Reviews Resources

Infinite multiplicity for inhomogeneous supercritical problem in entire space

Published 2010-01-12Version 1

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}\Delta u + u^{p}+f(x)=0, u>0 {in} R^{n}, \lim_{|x|\to\infty}u(x)\to 0.

Comments: 10 pages

Categories: math.AP

Subjects: 35J60, 35B05, 35B40

Keywords: inhomogeneous supercritical problem, infinite multiplicity, entire space, liapunov-schmidt reduction method, asymptotic analysis

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