TY - JOUR AU - Korman, Philip AU - Ouyang, Tiancheng PY - 2006/09/01 Y2 - 2024/03/29 TI - Positivity for the linearized problem for semilinear equations JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 28 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2006.019 SP - 53 - 60 AB - 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. ER -