What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Pure mathematics
Laurent Veron spends much of his time researching Mathematical analysis, Partial differential equation, Elliptic curve, Gravitational singularity and Boundary value problem.
His Mathematical analysis study frequently links to other fields, such as Mathematical physics.
The Partial differential equation study combines topics in areas such as Energy method, Differential inequalities, Singularity, Sobolev space and Monotonic function.
His Elliptic curve research is multidisciplinary, incorporating elements of Function and Asymptotic expansion.
His studies in Gravitational singularity integrate themes in fields like Parabolic partial differential equation, Simultaneous equations, Linear equation and Classification theorem.
His biological study spans a wide range of topics, including Trace, Borel measure and Order.
His most cited work include:
- Quasilinear elliptic equations involving critical Sobolev exponents (389 citations)
- Singularities of solutions of second order quasilinear equations (216 citations)
- Nonlinear elliptic equations on compact riemannian manifolds and asymptotics of Emden equations (208 citations)
What are the main themes of his work throughout his whole career to date?
Laurent Veron mainly investigates Mathematical analysis, Pure mathematics, Bounded function, Measure and Mathematical physics.
His research in Gravitational singularity, Uniqueness, Elliptic curve, Boundary value problem and Partial differential equation are components of Mathematical analysis.
His Pure mathematics research integrates issues from Trace and Class.
His work deals with themes such as Bessel function, Radon measure, Domain, Continuous function and Domain, which intersect with Bounded function.
His Measure research is multidisciplinary, incorporating perspectives in Absolute continuity, Combinatorics, Dirichlet problem, Weak solution and Function.
His study in Mathematical physics is interdisciplinary in nature, drawing from both Singularity, Absorption and Eigenvalues and eigenvectors.
He most often published in these fields:
- Mathematical analysis (56.71%)
- Pure mathematics (26.41%)
- Bounded function (26.41%)
What were the highlights of his more recent work (between 2016-2021)?
- Measure (22.08%)
- Pure mathematics (26.41%)
- Function (14.29%)
In recent papers he was focusing on the following fields of study:
Laurent Veron spends much of his time researching Measure, Pure mathematics, Function, Bounded function and Combinatorics.
He has researched Measure in several fields, including Class, Bessel function, Isolated singularity and Boundary value problem.
His Pure mathematics study which covers Domain that intersects with Constant and Gravitational singularity.
His studies deal with areas such as Trace, Singularity, Mathematics Subject Classification and Uniqueness as well as Bounded function.
His work investigates the relationship between Combinatorics and topics such as Domain that intersect with problems in Harmonic function, Order and Mathematical physics.
He conducted interdisciplinary study in his works that combined Cone and Mathematical analysis.
Between 2016 and 2021, his most popular works were:
- Estimates of solutions of elliptic equations with a source reaction term involving the product of the function and its gradient (16 citations)
- Weak solutions of semilinear elliptic equations with Leray-Hardy potential and measure data (9 citations)
- Schrödinger operators with Leray-Hardy potential singular on the boundary (6 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Pure mathematics
His primary scientific interests are in Pure mathematics, Bounded function, Domain, Combinatorics and Function.
His Pure mathematics study combines topics in areas such as Trace, Measure, Gravitational singularity and Singularity.
In his research on the topic of Domain, Harnack's principle, Eigenvalues and eigenvectors and Lipschitz continuity is strongly related with Uniqueness.
His Function study incorporates themes from Radon measure and Constant.
Laurent Veron has researched Radon measure in several fields, including Dirichlet boundary condition, Elliptic curve, Absolute continuity and Well-posed problem.
Harnack's inequality is a subfield of Mathematical analysis that Laurent Veron tackles.
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