2 citations · 2 across the 4 of their papers we have counts for
6 papers
Analysis of an Emden-Fowler-Hénon type equation
Pablo dos Santos Corrêa Junior, Ederson Moreira dos Santos, Delia Schiera
This work investigates a Hénon-type equation with the cap-shaped weight , which concentrates on the sphere of radius as . Particular att…
Standing waves for nonlinear Hartree type equations: existence and qualitative properties
Eduardo de Souza Böer, Ederson Moreira dos Santos
We consider systems of the form \[ \left\{ \begin{array}{l} -Δu + u = \frac{2p}{p+q}(I_α\ast |v|^{q})|u|^{p-2}u \ \ \textrm{ in } \mathbb{R}^N, \\ -Δv + v = \frac{2q}{p+q}(I_α\ast…
On Hamiltonian systems with critical Sobolev exponents
Angelo Guimarães, Ederson Moreira dos Santos
In this paper we consider lower order perturbations of the critical Lane-Emden system posed on a bounded smooth domain , with , inspired by the clas…
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{} \end{equation}…
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 is the unit ball centered at the origin,…
Symmetry properties of positive solutions for fully nonlinear elliptic systems
Ederson Moreira dos Santos, Gabrielle Nornberg
We investigate symmetry properties of positive solutions for fully nonlinear uniformly elliptic systems, such as $$ F_i \,(x,Du_i,D^2u_i) +f_i \,(x,u_1, \ldots , u_n,Du_i)=0, \;\;…