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Mathematics

D-Index
40
Citations
6990
World Ranking
2046
National Ranking
77

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 1994 - Fellow of the Royal Society of Canada Academy of Science

Overview

Nassif Ghoussoub is affiliated with the University of British Columbia in Canada and works primarily in the field of Mathematics. Their research spans several subfields within mathematics including Applied Mathematics, Mathematical Physics, Geometry and Topology, General Health Professions, and Finance.

The scientist's recent publications cover various topics and venues, indicating active engagement in mathematical research. Notable recent papers include:

  • A solution to the Monge transport problem for Brownian martingales, 2021, The Annals of Probability
  • The Hardy-Schrödinger operator on the Poincaré ball: Compactness, multiplicity, and stability of the Pohozaev obstruction, 2022, Journal of Differential Equations
  • Multiplicity and Stability of the Pohozaev Obstruction for Hardy-Schrödinger Equations with Boundary Singularity, 2023, Memoirs of the American Mathematical Society
  • Stochastic optimal transport with free end time, 2021, Annales de l Institut Henri Poincaré Probabilités et Statistiques
  • Linear transfers as minimal costs of dilations of measures in balayage order, 2022, arXiv (Cornell University)

Frequent co-authors in Ghoussoub's work include Young-Heon Kim, Aaron Zeff Palmer, Saikat Mazumdar, Samer Dweik, and Frédéric Robert. These collaborations have been reflected in multiple joint publications over the years.

The scholar publishes regularly in several venues, including:

  • arXiv (Cornell University)
  • The Annals of Probability
  • Journal of Differential Equations
  • Memoirs of the American Mathematical Society
  • Annales de l Institut Henri Poincaré Probabilités et Statistiques

Ghoussoub's research interests and main topics addressed in their work include:

  • Geometric Analysis and Curvature Flows
  • Stochastic processes and statistical mechanics
  • Nonlinear Partial Differential Equations
  • Point processes and geometric inequalities
  • Stochastic processes and financial applications
  • Navier-Stokes equation solutions
  • Geometry and complex manifolds

Ghoussoub's contributions have been recognized through fellowships in prestigious scientific organizations. They have been named a Fellow of the Royal Society of Canada in 1994 and a Fellow of the American Mathematical Society since 2013.

Best Publications

  • Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents

    N Ghoussoub;C Yuan

  • Duality and perturbation methods in critical point theory

    Nassif Ghoussoub

  • On a conjecture of De Giorgi and some related problems

    N. Ghoussoub;C. Gui

  • A general mountain pass principle for locating and classifying critical points

    N. Ghoussoub;D. Preiss

  • Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS

    Pierpaolo Esposito;Nassif Ghoussoub;Yujin Guo

  • Selected new aspects of the calculus of variations in the large

    Ivar Ekeland;Nassif Ghoussoub

  • On the partial differential equations of electrostatic mems devices : Stationary case

    Nassif Ghoussoub;Yujin Guo

  • Bessel pairs and optimal Hardy and Hardy–Rellich inequalities

    Nassif Ghoussoub;Amir Moradifam

  • Some topological and geometrical structures in Banach spaces

    N. Ghoussoub

  • Hardy–Sobolev critical elliptic equations with boundary singularities

    N. Ghoussoub;X.S. Kang

  • Functional Inequalities: New Perspectives and New Applications

    Nassif Ghoussoub;Amir Moradifam

  • The effect of curvature on the best constant in the Hardy–Sobolev inequalities

    N. Ghoussoub;F. Robert

  • Compactness along the branch of semistable and unstable solutions for an elliptic problem with a singular nonlinearity

    Pierpaolo Esposito;Nassif Ghoussoub;Yujin Guo

  • Self-dual Partial Differential Systems and Their Variational Principles

    Nassif Ghoussoub

  • MULTI-PEAK SOLUTIONS FOR A SEMILINEAR NEUMANN PROBLEM INVOLVING THE CRITICAL SOBOLEV EXPONENT

    Changfeng Gui;Nassif Ghoussoub

  • Location, multiplicity and Morse indices of min-max critical points.

    N. Ghoussoub

  • The multiplicity of solutions in non-homogeneous boundary value problems

    Phillipe Bolle;Nassif Ghoussoub;Hossein Tehrani

  • GEOMETRIC INEQUALITIES VIA A GENERAL COMPARISON PRINCIPLE FOR INTERACTING GASES

    Martial Agueh;Nassif Ghoussoub;Xiaosong Kang

  • On the partial differential equations of electrostatic MEMS devices II: Dynamic case

    Nassif Ghoussoub;Yujin Guo

  • On the best possible remaining term in the Hardy inequality

    Nassif Ghoussoub;Amir Moradifam

  • On De Giorgi's conjecture in dimensions 4 and 5

    Nassif Ghoussoub;Changfeng Gui

  • Compactness along the Branch of Semi-stable and Unstable Solutions for an Elliptic Problem with a Singular Nonlinearity

    Pierpaolo Esposito;Nassif Ghoussoub;Yujin Guo

Frequent Co-Authors

William B. Johnson
William B. Johnson Texas A&M University
Walter Schachermayer
Walter Schachermayer University of Vienna
Ivar Ekeland
Ivar Ekeland University of British Columbia
Vitali Milman
Vitali Milman Tel Aviv University
Gilles Pisier
Gilles Pisier Texas A&M University
Angela Pistoia
Angela Pistoia Sapienza University of Rome
Robert J. McCann
Robert J. McCann University of Toronto
Assaf Naor
Assaf Naor Princeton University
Chang-Shou Lin
Chang-Shou Lin National Taiwan University
Jean Bourgain
Jean Bourgain Institute for Advanced Study

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