Edgard completed his PhD in Mathematics at the Instituto Superior Técnico of the Universidade de Lisboa (Portugal, 2013) under the direction of Diogo Gomes. After the completion of his doctoral work, he held postdoctoral positions at CAMGSDISTUL (Lisbon), IMPA (Rio de Janeiro) and ICMCUSP (São Carlos). In November 2016, Prof. Pimentel obtained his Habilitation (LivreDocência) at USP (ICMC). Jovem Cientista do Estado do Rio de Janeiro (FAPERJBrasil), Edgard is a Junior Associate Fellow of the International Centre for Theoretical Physics (ICTPTrieste). He was a Grantee of the Instituto Serrapilheira (20192021) and a Researcher of the National Council for Science and Technology (CNPqBrazil, 20182021). In December 2019, Prof. Pimentel was ellected an Affiliated Member of the Brazilian Academy of Sciences. Working as a Research Scientist at the Centre for Mathematics at the University of Coimbra, Edgard is Assistant Professor at PUCRio (on leave).
Prof. Pimentel likes to think about Partial Differential Equations, with emphasis on regularity theory and free boundary problems involving fully nonlinear problems. Recently, Edgard has grown fond of harmonic maps and their variations. His agenda has included visits to important research centers, such as CIMAT (Guanajuato), Hausdorff Research Institute for Mathematics (Bonn), ICTP (Trieste), Imperial College London, Institute of Mathematics of the Polish Academy of Sciences (IMPAN, Warsaw), Max Planck Institute for Mathematics in the Sciences (Leipzig), MittagLeffler Institute (Sweden), Royal Institute of Technology (Stockholm), and Technion (Israel). An enthusiast of scientific outreach, has contributed to the blog Ciência Fundamental, produced by Instituto Serrapilheira and Folha de São Paulo.
To download my complete CV, click here.
1 
BMOregularity for a degenerate transmission problem


2 
Flipping regularity via the Harnack approach and applications to nonlinear elliptic problems

3 
A Hessiandependent functional with free boundaries and applications to meanfield games

4 
A fully nonlinear degenerate free transmission problem

1 
A fully nonlinear free transmission problem


2 
Potential estimates for fully nonlinear elliptic equations with bounded ingredients

3 
Fully nonlinear HamiltonJacobi equation of degenerate type

4 
A note on the density of the partial regularity result in the class of viscosity solutions

5 
C^{1}regularity for degenerate diffusion equations

6 
Fractional Sobolev regularity for fully nonlinear elliptic equations

7 
Existence of solutions to a fully nonlinear free transmission problem

8 
Stationary fully nonlinear meanfield games

9 
Improved regularity for the porous medium equation along zero levelsets

10 
Existence and improved regularity for a nonlinear system with collapsing ellipticity

11 
Nonconvex HamiltonJacobi equations with gradient constraints

12 
On some singular meanfield games

13 
Regularity of solutions to a class of variableexponent fully nonlinear elliptic equations

14 
On a mean field optimal control problem

15 
Geometric regularity for elliptic equations in doubledivergence form

16 
Improved regularity for the pPoisson equation

17 
Regularity theory for the Isaacs equation through approximation methods

18 
Interior Sobolev regularity for fully nonlinear parabolic equations

19 
Regularity theory for secondorder stationary meanfield games

20 
Sharp Hessian integrability for nonlinear elliptic equations: an asymptotic approach

21 
Time dependent meanfield games in the superquadratic case

22 
Estimates for a class of slowly nondissipative reactiondiffusion equations

23 
Time dependent meanfield games with logarithmic nonlinearities

24 
Time dependent meanfield games in the subquadratic case

1 
Asymptotic methods in regularity theory for nonlinear elliptic equations: a survey


2 
Regularity for meanfield games systems with initialinitial boundary conditions: the subquadratic case

1 
Elliptic regularity theory by approximation methods.


2 
Regularity theory for meanfield game systems.

3 
Economic models and meanfield games theory.

My research interests sit at the intersection of Regularity Theory for (nonlinear) Partial Differential Equations (PDE), Free Boundary Problems and Geometric Analysis.
Learning Seminar on Analysis of PDEs: click here for information
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Note: if you are a graduate student or a young postdoc interested in working in my group, please do not hesitate in dropping me a line.
Oct
2023
2023 Thematic Period PDEs ICMATUAM
EuroJapanese Conference on Nonlinear Diffusions
Invited speaker
Feb
2023
Scientific visit to
Cristiana de Filippis and
Giuseppe Mingione
Jan
2023
Lisbon WADE
Invited speaker
Dec
2022
Projeto Delfos
Invited speaker (scientific outreach)
Nov
2022
MittagLeffler Institute
Research program
Geometric Aspects of Nonlinear PDEs
Oct
2022
IV Congresso de Jovens Pesquisadores em Matemática
Pleanry speaker
Sep
2022
Nonuniformly elliptic problems
Invited speaker
Aug
2022
Encontro Conjunto BrasilPortugal
Plenary speaker
Jul
2022
International Congress of Mathematicians
ICM2022 (Remote)
Jul
2022
Three Nonlinear Days in Coimbra: a CAMGSDCMUC Workshop in Nonlinear Analysis
Coorganized w/ Hugo Tavares
MayJul
2022
Scientific Visit
ICTP
Mar
2022
SIAM Conference on Analysis of PDE
Mar
2022
Scientific visit to Pêdra Andrade, Makson Santos and Hugo Tavares
Instituto Superior Técnico
Jan
2022
CMUC Analysis Seminar
Oct
2021
An introduction to meanfield games
Shanghai Jiao Tong U.
Invited by Prof. Kaizhi Wang
Sep
2021
TWASTYAN Virtual workshop on PDE
Sep
2021
Free boundary problems 2021
1 
Vincenzo Bianca, since 2021


2 
Claudemir Alcantara, since 2021

3 
Miguel Walker, since 2019

4 
David Jesus, Since 2018

1 
Edison Cuba, Jul 2021


2 
Makson Sales Santos, Aug 2020

3 
Pêdra Daricléa Santos Andrade, Aug 2020

4 
Giane Casari Rampasso, Feb 2019

3001 – 501 Coimbra, Portugal
edgard.pimentel [at] mat [dot] uc [dot] pt