What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Quantum mechanics
- Pure mathematics
Haim Brezis mostly deals with Mathematical analysis, Pure mathematics, Partial differential equation, Nonlinear system and Sobolev space.
His work in Elliptic curve, Boundary value problem, Dirichlet problem, Nonlinear Schrödinger equation and Heat equation is related to Mathematical analysis.
Haim Brezis combines subjects such as Modes of convergence, Calculus of variations, Nonlinear functional analysis and Class with his study of Pure mathematics.
His Nonlinear system research focuses on Mathematical physics and how it connects with Duality.
His Sobolev space research integrates issues from Discrete mathematics, Finite difference, Bounded function and Space.
His studies in Sobolev inequality integrate themes in fields like Interpolation space and Inequality.
His most cited work include:
- Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (2679 citations)
- Functional Analysis, Sobolev Spaces and Partial Differential Equations (2479 citations)
- Positive solutions of nonlinear elliptic equations involving critical sobolev exponents (2152 citations)
What are the main themes of his work throughout his whole career to date?
His scientific interests lie mostly in Mathematical analysis, Pure mathematics, Combinatorics, Sobolev space and Nonlinear system.
His study in Partial differential equation, Boundary value problem, Elliptic curve, Measure and Gravitational singularity is carried out as part of his Mathematical analysis studies.
His Partial differential equation study combines topics in areas such as Mathematical physics, Existence theorem and Differential equation.
His Pure mathematics study incorporates themes from Discrete mathematics and Norm.
The Combinatorics study combines topics in areas such as Nabla symbol, Omega, Domain, Bounded function and Function.
His study in Sobolev space is interdisciplinary in nature, drawing from both Space, Homotopy, Topology and Degree.
He most often published in these fields:
- Mathematical analysis (47.06%)
- Pure mathematics (31.58%)
- Combinatorics (32.82%)
What were the highlights of his more recent work (between 2015-2021)?
- Sobolev space (28.79%)
- Combinatorics (32.82%)
- Omega (20.74%)
In recent papers he was focusing on the following fields of study:
Sobolev space, Combinatorics, Omega, Non local and Pure mathematics are his primary areas of study.
His research in Sobolev space intersects with topics in Interpolation inequality, Gravitational singularity, Degree, Nirenberg and Matthaei experiment and Hausdorff distance.
His studies deal with areas such as Extension, Mathematical analysis and Bounded operator as well as Combinatorics.
He works in the field of Mathematical analysis, focusing on Approximations of π in particular.
His Omega research includes elements of Space, Lambda, Hausdorff space and Equivalence relation.
He has included themes like Norm and Equivalence in his Pure mathematics study.
Between 2015 and 2021, his most popular works were:
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story (54 citations)
- Gagliardo-Nirenberg inequalities and non-inequalities: the full story (54 citations)
- Non-local functionals related to the total variation and connections with Image Processing (31 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Quantum mechanics
- Geometry
Haim Brezis spends much of his time researching Sobolev space, Combinatorics, Omega, Non local and Function.
His research brings together the fields of Maximal function and Sobolev space.
His biological study spans a wide range of topics, including Type inequality, Nirenberg and Matthaei experiment, Mathematical analysis, Inequality and Negative number.
The Mathematical analysis study combines topics in areas such as Pointwise convergence, Pure mathematics and Regular polygon.
His study in Interpolation inequality extends to Omega with its themes.
His study connects Mathematical physics and Function.
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