Positivity for the linearized problem for semilinear equations
Keywords
Positivity for the linearized problem, symmetry breakingAbstract
Using recent results of M. Tang [< i> Uniqueness of positive radial solutions for $\Delta u − u + u^p = 0$ on an annulus< /i> , J. Differential Equations < b> 189< /b> (2003), no. 1, 148–160], we provide a simple approach to proving positivity for the linearized problem of semilinear equations, which is crucial for establishment of exact multiplicity results, and for symmetry breaking.Downloads
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2006-09-01
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KORMAN, Philip and OUYANG, Tiancheng. Positivity for the linearized problem for semilinear equations. Topological Methods in Nonlinear Analysis. Online. 1 September 2006. Vol. 28, no. 1, pp. 53 - 60. [Accessed 26 April 2024].
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