We will present some results concerning the problem

$$
\label{eq:sl} \left\{ \begin{array}{ll} & -\D u = \lambda \dfrac {u}{|x|^2}+u^q \, , \, \, u > 0 \hbox{ in }\O,\\ & u|_{\p \O}=0, \end{array} \right.
$$

 where $0<q<\frac{N+2}{N-2}$, $q\neq 1$, $\lambda \ge 0$ and $\Omega$ is a smooth bounded domain containing the origin. In particular, bifurcation and uniqueness results are discussed.

On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential

Manuela Chaves

Jesús García-Azorero

Abstract

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