**Yūki Naito**

##
Multiplicity of Singular Solutions to a Class of Semilinear Elliptic Equations

**abstract:**

We consider the multiplicity of the singular radial solutions to the equation of
the form $\rho^{-1}\ddiv (\rho\nabla u) + \lam u + u^p = 0$ in $\R^N\setminus
\{0\}$, where $N \geq 3$, $\rho \in C^1[0, \infty)$, $\rho > 0$, on $[0, \infty)$,
$\lam \in C[0, \infty)$ and $p > N/(N-2)$.

**Mathematics Subject Classification:**
35J61, 35A24, 35A02

**Key words and phrases:** Singular solutions, uniqueness, infinitely many
existences