- Home
- Best Scientists - Mathematics
- Nassif Ghoussoub

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
34
Citations
6,090
192
World Ranking
2008
National Ranking
83

2013 - Fellow of the American Mathematical Society

1994 - Fellow of the Royal Society of Canada Academy of Science

- Mathematical analysis
- Algebra
- Geometry

Nassif Ghoussoub mainly investigates Mathematical analysis, Combinatorics, Sobolev inequality, Pure mathematics and Boundary. His work on Dirichlet boundary condition, Boundary value problem and Dirichlet problem is typically connected to Nabla symbol as part of general Mathematical analysis study, connecting several disciplines of science. In Boundary value problem, Nassif Ghoussoub works on issues like Elliptic curve, which are connected to Unit sphere.

His Combinatorics research includes themes of Structure and Mountain pass. He integrates Pure mathematics with Exponent in his study. As a member of one scientific family, he mostly works in the field of Boundary, focusing on Mean curvature and, on occasion, Dimension.

- Multiple solutions for quasi-linear PDEs involving the critical Sobolev and Hardy exponents (407 citations)
- On a conjecture of De Giorgi and some related problems (317 citations)
- Duality and Perturbation Methods in Critical Point Theory (257 citations)

Mathematical analysis, Pure mathematics, Combinatorics, Bounded function and Mathematical physics are his primary areas of study. Many of his studies involve connections with topics such as Boundary and Mathematical analysis. His biological study spans a wide range of topics, including Vector field and Monotone polygon.

His Combinatorics research incorporates elements of Fourth order, Ball, Probability measure and Sobolev space. His studies deal with areas such as Domain, Eigenvalues and eigenvectors and Dirichlet problem as well as Bounded function. Nassif Ghoussoub works mostly in the field of Mathematical physics, limiting it down to topics relating to Variational principle and, in certain cases, Dual.

- Mathematical analysis (31.30%)
- Pure mathematics (25.65%)
- Combinatorics (22.17%)

- Combinatorics (22.17%)
- Applied mathematics (8.70%)
- Probability measure (6.09%)

Nassif Ghoussoub mainly focuses on Combinatorics, Applied mathematics, Probability measure, Bounded function and Mathematical analysis. His Combinatorics research incorporates themes from Ball and Regular polygon. His study on Probability measure also encompasses disciplines like

- Martingale that intertwine with fields like Extreme point, Lebesgue measure, Convex hull, Absolute continuity and Discrete mathematics,
- Optimal stopping which connect with Symmetry in biology and Order,
- Hitting time and related Duality.

His Bounded function research also works with subjects such as

- Domain that connect with fields like Operator,
- Singularity that connect with fields like Sobolev inequality. His Mathematical analysis research is multidisciplinary, incorporating elements of Subharmonic and Boundary. In most of his Boundary studies, his work intersects topics such as Pure mathematics.

- Borderline Variational Problems Involving Fractional Laplacians and Critical Singularities (38 citations)
- Structure of optimal martingale transport plans in general dimensions (32 citations)
- Sobolev inequalities for the Hardy–Schrödinger operator: extremals and critical dimensions (26 citations)

- Mathematical analysis
- Algebra
- Geometry

His main research concerns Probability measure, Combinatorics, Mathematical analysis, Boundary and Sobolev space. His Probability measure study also includes

- Martingale which intersects with area such as Convex hull, Discrete mathematics, Lebesgue measure, Extreme point and Absolute continuity,
- Applied mathematics together with Regular polygon and Logarithm. His Combinatorics study combines topics from a wide range of disciplines, such as Domain, Operator, Bounded function and Dirichlet distribution.

His research on Mathematical analysis often connects related areas such as Twist. Nassif Ghoussoub combines subjects such as Mean curvature, Measure and Embedding with his study of Boundary. As part of the same scientific family, Nassif Ghoussoub usually focuses on Mean curvature, concentrating on Compact space and intersecting with Sobolev inequality.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

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

N Ghoussoub;C Yuan.

Transactions of the American Mathematical Society **(2000)**

679 Citations

Duality and perturbation methods in critical point theory

Nassif Ghoussoub.

**(1993)**

494 Citations

On a conjecture of De Giorgi and some related problems

N. Ghoussoub;C. Gui.

Mathematische Annalen **(1998)**

395 Citations

A general mountain pass principle for locating and classifying critical points

N. Ghoussoub;D. Preiss.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(1989)**

244 Citations

Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMS

Pierpaolo Esposito;Nassif Ghoussoub;Yujin Guo.

**(2010)**

199 Citations

Selected new aspects of the calculus of variations in the large

Ivar Ekeland;Nassif Ghoussoub.

Bulletin of the American Mathematical Society **(2002)**

194 Citations

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

Nassif Ghoussoub;Yujin Guo.

Siam Journal on Mathematical Analysis **(2007)**

191 Citations

Some topological and geometrical structures in Banach spaces

N. Ghoussoub.

Memoirs of the American Mathematical Society **(1987)**

174 Citations

Bessel pairs and optimal Hardy and Hardy–Rellich inequalities

Nassif Ghoussoub;Amir Moradifam.

Mathematische Annalen **(2011)**

155 Citations

Hardy–Sobolev critical elliptic equations with boundary singularities

N. Ghoussoub;X.S. Kang.

Annales De L Institut Henri Poincare-analyse Non Lineaire **(2004)**

155 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Texas A&M University

University of British Columbia

University of Vienna

Tel Aviv University

National Taiwan University

Institute for Advanced Study

Princeton University

Texas A&M University

Institut de Mathématiques de Jussieu

University of Toronto

Texas A&M University

University of Pisa

Technical University of Denmark

University of Washington

Southeast University

Okayama University

University of Massachusetts Medical School

Woods Hole Oceanographic Institution

University of Bristol

National Institutes of Health

University of British Columbia

University of Bern

Catholic University of the Sacred Heart

La Trobe University

University of Strathclyde

Goddard Space Flight Center

Something went wrong. Please try again later.