Geometric and analytic aspects of the theory of nonlinear partial differential equations

• Grant number: 14/15795-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - Brazil
• Duration: January 05, 2015 - January 04, 2016
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Alexandre Nolasco de Carvalho
• Grantee: Alexandre Nolasco de Carvalho
• Visiting researcher: Eduardo Vasconcelos Oliveira Teixeira
• Visiting researcher institution: Universidade Federal do Ceará (UFC). Centro de Ciências, Brazil
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

This project fosters the visit of Prof. Eduardo Vasconcelos Oliveira Teixeira, from January 05th, 2015 to January, 04th, 2016 at the no Instituto de Ciências Matemáticas e de Computação - ICMC, Universidade de São Paulo em São Carlos, for research collaborations jointly with the Analysis and Partial Differential Equations group of that Institute.The current research project, titled "Analytical and geometrical aspects of the theory of nonlinear Partial Differential Equations" is motivated by fundamental questions in the modern study of Partial Differential Equations and their applications. It is suggested new analytic and geometric tools in the mathematical study of relevant models from different fields, as well as the development of new lines of researches involving free boundary problems, harmonic analysis, geometric measure theory, among others. Several important problems and conjectures involved in the development of of the theory of nonlinear Partial Differential Equations shall be analyzed. It is expected therefore that the synergy created will enrich all fields involved, enhancing the teaching and the research on Mathematical Analysis in the country, benefiting all natural and technological fields that make use of such tools in their studies and models. (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)

PIMENTEL, EDGARD A.; TEIXEIRA, EDUARDO V.. Sharp Hessian integrability estimates for nonlinear elliptic equations: An asymptotic approach. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, v. 106, n. 4, p. 744-767, OCT 2016. (14/15795-1, 15/13011-6)