World's Best Scientists 2026 revealed!

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Mathematics

D-Index
41
Citations
5745
World Ranking
1941
National Ranking
117

Research.com Recognitions

  • 2019 - Member of Academia Europaea
  • 2016 - SIAM Fellow For distinguished research in partial differential equations and for advancing the profile of applied mathematics internationally.

Overview

Maria J. Esteban is affiliated with Paris Dauphine University in France. Their research primarily focuses on the field of Mathematics, with significant contributions spanning subfields such as Mathematical Physics, Computational Theory and Mathematics, Applied Mathematics, Computational Mechanics, and Atomic and Molecular Physics, and Optics.

The scientist's main research topics include:

  • Numerical methods in inverse problems
  • Advanced Numerical Analysis Techniques
  • Spectral Theory in Mathematical Physics
  • Quantum Mechanics and Non-Hermitian Physics
  • Radiopharmaceutical Chemistry and Applications
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Partial Differential Equations

Among the frequent co-authors collaborating with Maria J. Esteban are Jean Dolbeault, Rupert L. Frank, Michael Loss, Alessio Figalli, and Éric Séré.

The scientist has been published in several venues, including:

  • arXiv (Cornell University)
  • Clinical Nutrition
  • Cambridge Journal of Mathematics
  • DOAJ (DOAJ: Directory of Open Access Journals)
  • Journal of Spectral Theory

Notable recent papers authored or co-authored by Maria J. Esteban include:

  • Long-term outcomes in critically ill patients who survived COVID-19: The NUTRICOVID observational cohort study, 2023, Clinical Nutrition
  • Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence, 2025, Cambridge Journal of Mathematics
  • Improved Interpolation Inequalities and Stability, 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • Distinguished self-adjoint extension and eigenvalues of operators with gaps. Application to Dirac-Coulomb operators, 2023, Journal of Spectral Theory
  • Improved Interpolation Inequalities and Stability, 2020, Advanced Nonlinear Studies

Maria J. Esteban has received recognition through awards such as:

  • Member of Academia Europaea (2019)
  • SIAM Fellow (2016) for distinguished research in partial differential equations and for advancing the profile of applied mathematics internationally.

Best Publications

  • Existence and non-existence results for semilinear elliptic problems in unbounded domains

    M. J. Esteban;P. L. Lions

  • Existence of Weak Solutions for the Motion of Rigid Bodies in a Viscous Fluid

    Benoît Desjardins;Maria J. Esteban

  • Existence of Weak Solutions for the Unsteady Interaction of a Viscous Fluid with an Elastic Plate

    Antonin Chambolle;Benoît Desjardins;Maria J. Esteban;Céline Grandmont

  • Stationary states of the nonlinear Dirac equation: a variational approach

    Maria J. Esteban;Eric Séré

  • On Weak Solutions for Fluid‐Rigid Structure Interaction: Compressible and Incompressible Models

    Maria J. Esteban;Benoît Desjardins

  • Stationary Solutions of Nonlinear Schrödinger Equations with an External Magnetic Field

    Maria J. Esteban;Maria J. Esteban;Pierre-Louis Lions;Pierre-Louis Lions

  • Weak solutions for a fluid-elastic structure interaction model

    Céline Grandmont;Maria J. Esteban;Benoît Desjardins;Patrick Le Tallec

  • Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations

    Maria J. Esteban;Vladimir Georgiev;Eric Séré

  • On the eigenvalues of operators with gaps. Application to Dirac operators.

    Jean Dolbeault;Maria J. Esteban;Eric Séré

  • Variational methods in relativistic quantum mechanics

    Maria J. Esteban;Mathieu Lewin;Eric Séré

  • An overview on linear and nonlinear Dirac equations

    Maria J. Esteban;Eric Séré

  • Procrastinating Behavior in Computer-Based Learning Environments to Predict Performance: A Case Study in Moodle.

    Rebeca Cerezo;María Esteban;Miguel Sánchez-Santillán;José C. Núñez

  • Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces

    Jean Dolbeault;Maria J. Esteban;Michael Loss

  • Nonlinear elliptic problems in strip-like domains: symmetry of positive vortex rings

    M.J. Esteban

  • Solutions of the Dirac-Fock Equations for Atoms and Molecules

    Maria J. Esteban;Eric Séré

  • Self-adjointness for Dirac operators via Hardy-Dirac inequalities

    Maria J. Esteban;Michael Loss

  • Nonlinear eigenvalues and bifurcation problems for Pucci's operators

    Jérôme Busca;Maria J. Esteban;Alexander Quaas

  • Existence and Bifurcation of Solutions for an Elliptic Degenerate Problem

    Henri Berestycki;Maria J. Esteban

  • An analytical proof of Hardy-like inequalities related to the Dirac operator ?

    Jean Dolbeault;Maria J. Esteban;Michael Loss;Luis Vega

  • A direct variational approach to Skyrme's model for meson fields

    Maria J. Esteban

Frequent Co-Authors

Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Michael Loss
Michael Loss Georgia Institute of Technology
Gabriella Tarantello
Gabriella Tarantello University of Rome Tor Vergata
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Patricio Felmer
Patricio Felmer University of Chile
Volker Mehrmann
Volker Mehrmann Technical University of Berlin
Luis Vega
Luis Vega University of the Basque Country
Gustavo E. Scuseria
Gustavo E. Scuseria Rice University
Emmanuel Jehin
Emmanuel Jehin University of Liège
Michaël Gillon
Michaël Gillon University of Liège

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