Morse index of radial nodal solutions of Hénon type equations in dimension two

Ederson Moreira dos Santos, Filomena Pacella

We consider non-autonomous semilinear elliptic equations of the type \[ -Δu = |x|^α f(u), \ \ x \in Ω, \ \ u=0 \quad \text{on} \ \ \partial Ω, \] where $\Omega \subset {\mathbb{R}}^2$ is…