6 papers · 1 filter
Qualitative properties for solutions to subcritical fourth order systems
João Henrique Andrade, João Marcos do Ó
We prove some qualitative properties for singular solutions to a class of strongly coupled system involving a Gross--Pitaevskii-type nonlinearity. Our main theorems are vectorial f…
Some elliptic problems with singular nonlinearity and advection for Riemannian manifolds
João Marcos do Ó, Rodrigo Clemente
We are interested in regularity properties of semi-stable solutions for a class of singular semilinear elliptic problems with advection term defined on a smooth bounded domain of a…
Regularity of stable solutions to quasilinear elliptic equations on Riemannian models
João Marcos do Ó, Rodrigo Clemente
We investigate the regularity of semi-stable, radially symmetric, and decreasing solutions for a class of quasilinear reaction-diffusion equations in the inhomogeneous context of R…
Qualitative properties of positive singular solutions to nonlinear elliptic systems with critical exponent
Rayssa Caju, João Marcos do Ó, Almir Silva Santos
We studied the asymptotic behavior of local solutions for strongly coupled critical elliptic systems near an isolated singularity. For the dimension less than or equal to five we p…
Positive ground states for a class of superlinear -Laplacian coupled systems involving Schrödinger equations
João Marcos do Ó, Edcarlos Domingos da Silva, José Carlos de Albuquerque
We study the existence of positive solutions for the following class of -Laplacian coupled systems \[ \left\{ \begin{array}{lr} -Δ_{p} u+a(x)|u|^{p-2}u=f(u)+ αλ(x)|u|^{α-2}u…
Coupled elliptic systems involving the square root of the Laplacian and Trudinger-Moser critical growth
João Marcos do Ó, José Carlos de Albuquerque
In this paper we prove the existence of a nonnegative ground state solution to the following class of coupled systems involving Schrödinger equations with square root of the Laplac…