Wendel Leite da Silva

collaborators

2 papers

math.AP2021

Asymptotic profile and Morse index of the radial solutions of the Hénon equation

Wendel Leite da Silva, Ederson Moreira dos Santos

We consider the Hénon equation \begin{equation}\label{alphab} -Δu = |x|^α|u|^{p-1}u \ \ \textrm{in} \ \ B^N, \quad u = 0 \ \ \textrm{on}\ \ \partial B^N, \tag{ $P_{α}$ } \end{equation}…

math.AP2018

Monotonicity of the Morse index of radial solutions of the Hénon equation in dimension two

Wendel Leite da Silva, Ederson Moreira dos Santos

We consider the equation \[ -Δu = |x|^α |u|^{p-1}u, \ \ x \in B, \ \ u=0 \quad \text{on} \ \ \partial B, \] where $B \subset R^{2}$ is the unit ball centered at the origin,…