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arXiv · 1001.1787

Infinite multiplicity for inhomogeneous supercritical problem in entire space

Baishun Lai·Zhihao Ge
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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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Baishun Lai, Zhihao Ge. 2010-01-12. Infinite multiplicity for inhomogeneous supercritical problem in entire space. https://arxiv.org/abs/1001.1787

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