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On the uniqueness of ground state solutions of a semilinear equation containing a weighted Laplacian
| 1. | Facultad de Matemáticas, Universidad Católica de Chile, Casilla 306, Correo 22 - Santiago |
| 2. | Department of Mathematics, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago |
(P) $ \qquad\qquad\qquad -\Delta u=K(|x|)f(u),\quad x\in \mathbb R^n.$
Here $K$ is a positive $C^1$ function defined in $\mathbb R^+$ and $f\in C[0,\infty)$ has one zero at $u_0>0$, is non positive and not identically 0 in $(0,u_0)$, and it is locally lipschitz, positive and satisfies some superlinear growth assumption in $(u_0,\infty)$.
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