1 citations · 1 across the 8 of their papers we have counts for
11 papers
Fixed Point Theorem: Variants, Affine Context and Some Consequences
Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite
In this work, we will present variants Fixed Point Theorem for the affine and classical contexts, as a consequence of general Brouwer's Fixed Point Theorem. For instance, the affin…
Principal curves to fractional -Laplacian systems and related maximum and comparison principles
Anderson Luis Albuquerque de Araujo, Edir Junior Ferreira Leite, Aldo Henrique de Souza Medeiros
In this paper we develop a comprehensive study on principal eigenvalues and both the (weak and strong) maximum and comparison principles related to an important class of nonlinear…
Least energy solutions for affine -Laplace equations involving subcritical and critical nonlinearities
Edir Junior Ferreira Leite, Marcos Montenegro
The paper is concerned with Lane-Emden and Brezis-Nirenberg problems involving the affine -laplace nonlocal operator , which has been introduced in \cite{HJM5} dri…
Minimization to the Zhang's energy on and sharp affine Poincaré-Sobolev inequalities
Edir Junior Ferreira Leite, Marcos Montenegro
We prove the existence of minimizers for some constrained variational problems on , under subcritical and critical restrictions, involving the affine energy introduced by Zh…
Maximum and comparison principles for degenerate elliptic systems and some applications
Edir Junior F. Leite
In this paper we develop a detailed study on maximum and comparison principles for a degenerate elliptic system. Explicit lower bounds for principal eigenvalues of this system in 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…