Luiz F.O. Faria
Universidade Federal de Juiz de Fora
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Publication
Featured researches published by Luiz F.O. Faria.
Proceedings of the Edinburgh Mathematical Society (Series 2) | 2014
Luiz F.O. Faria; Olimpio H. Miyagaki; Dumitru Motreanu
The aim of this paper is to prove the existence of a positive solution for a quasi-linear elliptic problem involving the ( p, q )-Laplacian and a convection term, which means an expression that is not in the principal part and depends on the solution and its gradient. The solution is constructed through an approximating process based on gradient bounds and regularity up to the boundary. The positivity of the solution is shown by applying a new comparison principle, which is established here.
Advances in Nonlinear Analysis | 2016
Luiz F.O. Faria; Olimpio H. Miyagaki; Fábio R. Pereira; Marco Squassina; Chengxiang Zhang
Abstract By means of variational methods we investigate existence, nonexistence as well as regularity of weak solutions for a system of nonlocal equations involving the fractional laplacian operator and with nonlinearity reaching the critical growth and interacting, in a suitable sense, with the spectrum of the operator.
Topological Methods in Nonlinear Analysis | 2017
Luiz F.O. Faria; Olimpio H. Miyagaki; Fábio R. Pereira
We deal with the existence of solutions to a critical elliptic system involving the fractional Laplacian operator. We consider the primitive of the nonlinearity interacting with the spectrum of the operator. The one side resonant case is also considered. Variational methods are used to obtain the existence, and our result improves earlier results of the authors.
Proceedings of the Royal Society of Edinburgh: Section A Mathematics | 2014
D.C. de Morais Filho; Luiz F.O. Faria; O. H. Miyagaki; Fábio R. Pereira
In this work we study the multiplicity results for a class of critical elliptic systems related to the Brezis–Nirenberg problem with the Neumann boundary condition on a ball. Our approach relies on a minimization argument for an auxiliary problem with a mixed boundary condition and on suitable estimates of the critical level for the system case.
Nonlinear Analysis-theory Methods & Applications | 2014
Luiz F.O. Faria; Olimpio H. Miyagaki; Dumitru Motreanu; Mieko Tanaka
Journal of Mathematical Analysis and Applications | 2010
Luiz F.O. Faria; O.H. Miyagaki; Fábio R. Pereira
Inorganica Chimica Acta | 2010
Luiz F.O. Faria; Antônio L. Soares; Renata Diniz; Maria Irene Yoshida; Howell G. M. Edwards; Luiz Fernando C. de Oliveira
Electronic Journal of Differential Equations (EJDE) [electronic only] | 2009
Paulo Cesar Carrião; Luiz F.O. Faria; O.H. Miyagaki
Nonlinear Analysis-real World Applications | 2011
Claudianor O. Alves; Paulo Cesar Carrião; Luiz F.O. Faria
Journal of Mathematical Analysis and Applications | 2015
Grigori Chapiro; Luiz F.O. Faria; André D. Maldonado