Yūki Naito

Multiplicity of Singular Solutions to a Class of Semilinear Elliptic Equations

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