5 papers
Existence, nonexistence, and asymptotic behavior of solutions for -Laplacian equations involving critical exponential growth in the whole
Anderson L. A. de Araujo, Luiz F. O. Faria
In this paper, we are interested in studying the existence or non-existence of solutions for a class of elliptic problems involving the -Laplacian operator in the whole space. T…
Positive solutions for non-variational fractional elliptic systems with negative exponents
Anderson L. A. de Araujo, Luiz F. O. Faria, Edir Junior F. Leite +1
In this paper, we study strongly coupled elliptic systems in non-variational form with negative exponents involving fractional Laplace operators. We investigate the existence, none…
Positive solutions of quasilinear elliptic equations with exponential nonlinearity combined with convection term
Anderson Luis Albuquerque de Araujo, Luiz Fernando de Oliveira Faria
We establish the existence of positive solutions for a nonlinear elliptic Dirichlet problem in dimension involving the -Laplacian. The nonlinearity considered depends on the…
A variational problem associated to a hyperbolic Caffarelli--Kohn--Nirenberg inequality
Hardy Chan, Luiz Fernando de Oliveira Faria, Shaya Shakerian
We prove a Caffarelli--Kohn--Nirenberg inequality in the hyperbolic space. For a semilinear elliptic equation involving the associated weighted Laplace--Beltrami operator, we estab…
The Brezis-Nirenberg problem for nonlocal systems
Luiz Faria, Olimpio Miyagaki, Fabio Pereira +2
By means of variational methods we investigate existence, non-existence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacia…