Existence and multiplicity of solutions to elliptic equations and systems

• Grant number: 15/12476-5
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Start date: January 01, 2016
• End date: December 31, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Marcos Tadeu de Oliveira Pimenta
• Grantee: Marcos Tadeu de Oliveira Pimenta
• Visiting researcher: Giovany de Jesus Malcher Figueiredo
• Visiting researcher institution: Universidade Federal do Pará (UFPA). Centro de Ciências Exatas e Naturais, Brazil
• Host Institution: Faculdade de Ciências e Tecnologia (FCT). Universidade Estadual Paulista (UNESP). Campus de Presidente Prudente. Presidente Prudente , SP, Brazil

Abstract

In this activity plan it does figure the benefits of the visit of Prof. Giovany de Jesus Malcher Figueiredo to the Departamento de Matemática e Computação of the FCT - Unesp, in order to collaborate in research projects which is been developed by Prof. Marcos Tadeu de Oliveira Pimenta. Besides this we present attached a new research project dealing with some elliptic problems, like FitzHugh-Nagumo system and the Kirchhoff problem with critical growth in N=4. The main activities to be developed by Prof. Giovany are the participation in the research projects, co-supervision of graduate students, participation in analysis of dissertations, general qualification exams, offering two courses in graduate leve and participating in the standard seminars of the program. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Existence of ground state solutions to Dirac equations with vanishing potentials at infinity. Journal of Differential Equations, v. 262, n. 1, p. 486-505, JAN 5 2017. (14/16136-1, 15/12476-5)

FIGUEIREDO, GIOVANY M.; PIMENTA, MARCOS T. O.. Existence of bounded variation solutions for a 1-Laplacian problem with vanishing potentials. Journal of Mathematical Analysis and Applications, v. 459, n. 2, p. 861-878, MAR 15 2018. (17/01756-2, 15/12476-5)