Open Access Research

Uniqueness of positive solutions to a class of semilinear elliptic equations

Chunming Li and Yong Zhou*

Author Affiliations

Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China

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Boundary Value Problems 2011, 2011:38 doi:10.1186/1687-2770-2011-38

Published: 24 October 2011

Abstract

In this article, we consider the uniqueness of positive radial solutions to the Dirichlet boundary value problem

<a onClick="popup('http://www.boundaryvalueproblems.com/content/2011/1/38/mathml/M1','MathML',630,470);return false;" target="_blank" href="http://www.boundaryvalueproblems.com/content/2011/1/38/mathml/M1">View MathML</a>

where Ω denotes an annulus in ℝn (n ≥ 3). The uniqueness criterion is established by applying shooting method.

Keywords:
positive solution; semilinear elliptic equation; uniqueness