Article ID Journal Published Year Pages File Type
4612487 Journal of Differential Equations 2010 27 Pages PDF
Abstract

In this article we consider the Matukuma type equationequation(∗)Δu+K(|x|)up=0inRN, for positive radially symmetric solutions. When K satisfies some suitable monotonicity assumption, there exists a unique ground state of (∗). In this work we find a large class of K functions for which this monotonicity assumption fails and a large number of bubble-tower ground states exist.

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Related Topics
Physical Sciences and Engineering Mathematics Analysis
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