What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (31.30%)
- Pure mathematics (25.65%)
- Combinatorics (22.17%)
What were the highlights of his more recent work (between 2014-2021)?
- Combinatorics (22.17%)
- Applied mathematics (8.70%)
- Probability measure (6.09%)
In recent papers he was focusing on the following fields of study:
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.
Between 2014 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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