Abstract
Using recent results of M. Tang [Uniqueness of positive radial solutions for $\Delta u − u + u^p = 0$ on an annulus, J. Differential Equations 189 (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.
Citation
Philip Korman. Tiancheng Ouyang. "Positivity for the linearized problem for semilinear equations." Topol. Methods Nonlinear Anal. 28 (1) 53 - 60, 2006.
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