43 citations · 50 across the 3 of their papers we have counts for
3 papers
math.AP2021★ 1 cited
Estimate for concentration level of the Adams functional and extremals for Adams-type inequality
José Francisco Alves de Oliveira, Abiel Costa Macedo
This paper is mainly concerned with the existence of extremals for the Adams inequality. We first establish an upper bound for the classical Adams functional along of all concentra…
math.AP2018★ 6 cited
On The Extremal Parameters Curve of a Quasilinear Elliptic System of Differential Equations
Kaye Silva, Abiel Macedo
We consider a system of quasilinear elliptic equations, with indefinite super-linear nonlinearity, depending on two real parameters . By using the Nehari manifold and the noti…
math.AP2017★ 43 cited
Local minimizers over the Nehari manifold for a class of concave-convex problems with sign changing nonlinearity
Kaye Silva, Abiel Macedo
We study a -Laplacian equation involving a parameter and a concave-convex nonlinearity containing a weight which can change sign. By using the Nehari manifold and the fiberi…