CV Lattes
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Universidade de São Paulo (USP). Instituto de Ciências Matemáticas e de Computação (ICMC) (Institutional affiliation for the last research proposal) Birthplace: Brazil
Bachelor in Mathematics at Universidade Estadual de Maringá, Brazil, in 2003. Ph.D. in Mathematics at Universidade Estadual de Campinas, Brazil, in 2007. Postdoc position at Universidade de Campinas, Brazil, from October/2007 to March/2008; Postdoc position at Université Paris VI, France, from April/2008 to March/2009. Postdoc position at Universidade de Campinas, Brazil, from April/2009 to November/2009. Since December/2009 I have an assistant professor position at ICMC-USP in São Carlos, Brazil. My research is focused in Nonlinear Functional Analysis and Partial Differential Equations. (Source: Lattes Curriculum)
The purpose of the present project is to allow the continuation and the development of the collaboration between Brazilian and Belgian researchers in the field of partial differential equations (PDEs). This collaboration has already some history: Ederson Moreira dos Santos (USP São Carlos), coordinator on the Brazilian side, and Denis Bonheure (ULB), coordinator on the Belgian side, have …
(Only some records are available in English at this moment)
In this project we study properties of existence, non-existence, multiplicity and regularity of the viscosity solutions of some classes of elliptic problems with quadratic growth in the gradient. We propose a qualitative study of the solutions of equations of second and fourth orders, as well as of systems of equations of second order, aiming the characterization of the continuum of solut…
The purpose of this work is to study problems of elliptic equations involving the biharmonic operator under the boundary conditions of the type: Navier, Dirichlet and Steklov. Under these boundary conditions we study: the question on the positivity of the Green function; questions involving positivity of solutions of minimum energy; questions on the symmetry of solutions of minimum energy…
This project addresses issues of existence, uniqueness, multiplicity of solutions and also on other qualitative properties of solutions of Hamiltonian systems of elliptic equations. Related problems involving nonlinear elliptic equations of fourth order are also considered.
In this project we study properties of symmetry, existence, nonexistence, multiplicity and regularity of solutions of some classes of nonlinear elliptic problems with linear and superlinear growth in the gradient. We propose a study on the qualitative properties of the solutions for some relevant equations and systems, up to fully nonlinear structure, by exploiting the phenomena of symmet…
This project is addressed to research about questions on existence, multiplicity and qualitative properties of solutions of some classes of problems involving elliptic equations of second and fourth orders as well as systems of elliptic equations of second order. In particular, a special attention will be devoted to the study of qualitative properties, specially concentration and symmetry…
| 1 / 1 | Ongoing research grants |
| 6 / 5 | Completed research grants |
| 1 / 1 | Ongoing scholarships in Brazil |
| 4 / 2 | Completed scholarships in Brazil |
| 2 / 2 | Completed scholarships abroad |
| 14 / 11 | All research grants and scholarships |
| Associated processes | |
(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)
| Publications | 18 |
| Citations | 61 |
| Cit./Article | 3.4 |
| Data from Web of Science | |
FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category. Journal of Mathematical Analysis and Applications, v. 420, n. 1, p. 532-550, DEC 1 2014. Web of Science Citations: 3. (10/19320-7, 10/00603-9)
BONHEURE, DENIS; CASTERAS, JEAN-BAPTISTE; DOS SANTOS, EDERSON MOREIRA; NASCIMENTO, ROBSON. ORBITALLY STABLE STANDING WAVES OF A MIXED DISPERSION NONLINEAR SCHRODINGER EQUATION. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 50, n. 5, p. 5027-5071, 2018. Web of Science Citations: 4. (15/17096-6, 16/50453-0)
BONHEURE, DENIS; DOS SANTOS, EDERSON MOREIRA; RAMOS, MIGUEL. GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 364, n. 1, p. 447-491, JAN 2012. Web of Science Citations: 27.
DOS SANTOS, EDERSON MOREIRA; NORNBERG, GABRIELLE. Symmetry properties of positive solutions for fully nonlinear elliptic systems. Journal of Differential Equations, v. 269, n. 5, p. 4175-4191, AUG 15 2020. Web of Science Citations: 0. (18/04000-9)
MERCURI, CARLO; DOS SANTOS, EDERSON MOREIRA. Quantitative symmetry breaking of groundstates for a class of weighted Emden-Fowler equations. Nonlinearity, v. 32, n. 11, p. 4445-4464, NOV 2019. Web of Science Citations: 0. (15/17096-6)
ITURRIAGA, LEONELO; DOS SANTOS, EDERSON MOREIRA; UBILLA, PEDRO. Local minimizers in spaces of symmetric functions and applications. Journal of Mathematical Analysis and Applications, v. 429, n. 1, p. 27-56, SEP 1 2015. Web of Science Citations: 2. (10/19320-7)
FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. A FOURTH-ORDER EQUATION WITH CRITICAL GROWTH: THE EFFECT OF THE DOMAIN TOPOLOGY. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 45, n. 2, p. 551-574, JUN 2015. Web of Science Citations: 2. (10/19320-7, 10/00603-9)
DOS SANTOS, EDERSON MOREIRA. On the existence of positive solutions for a nonhomogeneous elliptic system. PORTUGALIAE MATHEMATICA, v. 66, n. 3, p. 347-371, 2009. Web of Science Citations: 1.
DOS SANTOS, EDERSON MOREIRA. POSITIVE SOLUTIONS FOR A FOURTH-ORDER QUASILINEAR EQUATION WITH CRITICAL SOBOLEV EXPONENT. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. 12, n. 1, p. 1-33, FEB 2010. Web of Science Citations: 6.
DA SILVA, WENDEL LEITE; DOS SANTOS, EDERSON MOREIRA. Monotonicity of the Morse index of radial solutions of the Henon equation in dimension two. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, v. 48, p. 485-492, AUG 2019. Web of Science Citations: 0. (15/17096-6)
DOS SANTOS, EDERSON MOREIRA; NORNBERG, GABRIELLE. Symmetry properties of positive solutions for fully nonlinear elliptic systems. Journal of Differential Equations, v. 269, n. 5, p. 4175-4191, AUG 15 2020. Web of Science Citations: 0. (18/04000-9)
DOS SANTOS, EDERSON MOREIRA. On the existence of positive solutions for a nonhomogeneous elliptic system. PORTUGALIAE MATHEMATICA, v. 66, n. 3, p. 347-371, 2009. Web of Science Citations: 1.
BONHEURE, DENIS; CASTERAS, JEAN-BAPTISTE; DOS SANTOS, EDERSON MOREIRA; NASCIMENTO, ROBSON. ORBITALLY STABLE STANDING WAVES OF A MIXED DISPERSION NONLINEAR SCHRODINGER EQUATION. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, v. 50, n. 5, p. 5027-5071, 2018. Web of Science Citations: 4. (15/17096-6, 16/50453-0)
FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. A FOURTH-ORDER EQUATION WITH CRITICAL GROWTH: THE EFFECT OF THE DOMAIN TOPOLOGY. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 45, n. 2, p. 551-574, JUN 2015. Web of Science Citations: 2. (10/19320-7, 10/00603-9)
BONHEURE, DENIS; DOS SANTOS, EDERSON MOREIRA; RAMOS, MIGUEL. GROUND STATE AND NON-GROUND STATE SOLUTIONS OF SOME STRONGLY COUPLED ELLIPTIC SYSTEMS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v. 364, n. 1, p. 447-491, JAN 2012. Web of Science Citations: 27.
ITURRIAGA, LEONELO; DOS SANTOS, EDERSON MOREIRA; UBILLA, PEDRO. Local minimizers in spaces of symmetric functions and applications. Journal of Mathematical Analysis and Applications, v. 429, n. 1, p. 27-56, SEP 1 2015. Web of Science Citations: 2. (10/19320-7)
FERREIRA MELO, JESSYCA LANGE; DOS SANTOS, EDERSON MOREIRA. Positive solutions to a fourth-order elliptic problem by the Lusternik-Schnirelmann category. Journal of Mathematical Analysis and Applications, v. 420, n. 1, p. 532-550, DEC 1 2014. Web of Science Citations: 3. (10/19320-7, 10/00603-9)
DOS SANTOS, EDERSON MOREIRA. POSITIVE SOLUTIONS FOR A FOURTH-ORDER QUASILINEAR EQUATION WITH CRITICAL SOBOLEV EXPONENT. COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, v. 12, n. 1, p. 1-33, FEB 2010. Web of Science Citations: 6.
(References retrieved automatically from State of São Paulo Research Institutions)
JUNIOR, Vanderley Alves Ferreira. Equações de quarta ordem na modelagem de oscilações de pontes. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (12/23741-3)
SANTOS, Ederson Moreira dos. Sistemas elipticos semilineares não-homogeneos. Tese (Doutorado) - Instituto de Matemática, Estatística e Computação Científica. Universidade Estadual de Campinas (UNICAMP). (03/07581-7)
MELO, Jessyca Lange Ferreira. Sobre a multiplicidade de soluções positivas para uma classe de problemas elípticos de quarta-ordem via categoria de Lusternik-Schnirelman. Tese (Doutorado) - Instituto de Ciências Matemáticas e de Computação. Universidade de São Paulo (USP). São Carlos. (10/00603-9)