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Dive into the research topics where Luiz F.O. Faria is active.

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Featured researches published by Luiz F.O. Faria.


Proceedings of the Edinburgh Mathematical Society (Series 2) | 2014

Comparison and Positive Solutions for Problems with the ( p, q )-Laplacian and a Convection Term

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

The Brezis-Nirenberg problem for nonlocal systems

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

Critical Brezis-Nirenberg problem for nonlocal systems

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

Infinitely many sign-changing solutions for a class of critical elliptic systems with Neumann conditions

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

Existence results for nonlinear elliptic equations with Leray–Lions operator and dependence on the gradient

Luiz F.O. Faria; Olimpio H. Miyagaki; Dumitru Motreanu; Mieko Tanaka


Journal of Mathematical Analysis and Applications | 2010

Existence results for quasilinear elliptic exterior problems involving convection term and nonlinear Robin boundary conditions

Luiz F.O. Faria; O.H. Miyagaki; Fábio R. Pereira


Inorganica Chimica Acta | 2010

Mixed salts containing croconate violet, lanthanide and potassium ions: Crystal structures and spectroscopic characterization of supramolecular compounds

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

A biharmonic elliptic problem with dependence on the gradient and the Laplacian.

Paulo Cesar Carrião; Luiz F.O. Faria; O.H. Miyagaki


Nonlinear Analysis-real World Applications | 2011

Existence of homoclinic solutions for a class of second order ordinary differential equations

Claudianor O. Alves; Paulo Cesar Carrião; Luiz F.O. Faria


Journal of Mathematical Analysis and Applications | 2015

On the existence of solutions for a class of fourth order differential equations

Grigori Chapiro; Luiz F.O. Faria; André D. Maldonado

Collaboration


Dive into the Luiz F.O. Faria's collaboration.

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Fábio R. Pereira

Universidade Federal de Juiz de Fora

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Olimpio H. Miyagaki

Universidade Federal de Juiz de Fora

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O.H. Miyagaki

Universidade Federal de Viçosa

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Claudianor O. Alves

Federal University of Campina Grande

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Paulo Cesar Carrião

Universidade Federal de Minas Gerais

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André D. Maldonado

Universidade Federal de Itajubá

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Antônio L. Soares

Universidade Federal de Juiz de Fora

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D.C. de Morais Filho

Federal University of Campina Grande

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Grigori Chapiro

Universidade Federal de Juiz de Fora

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Luiz Fernando C. de Oliveira

Universidade Federal de Juiz de Fora

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