H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 35 Citations 6,349 156 World Ranking 1443 National Ranking 86

Overview

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.

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.

Top Publications

Quasilinear elliptic equations involving critical Sobolev exponents

M. Guedda;L. Veron.
Nonlinear Analysis-theory Methods & Applications (1989)

517 Citations

Singular solutions of some nonlinear elliptic equations

Laurent Veron.
Nonlinear Analysis-theory Methods & Applications (1981)

283 Citations

Singularities of solutions of second order quasilinear equations

Laurent Véron.
(1996)

279 Citations

Nonlinear elliptic equations on compact riemannian manifolds and asymptotics of Emden equations

Marie-Françoise Bidaut-Veron;Laurent Veron.
Inventiones Mathematicae (1991)

256 Citations

Uniqueness and asymptotic behavior of solutions with boundary blow-up for a class of nonlinear elliptic equations

M. Marcus;L. Véron.
Annales De L Institut Henri Poincare-analyse Non Lineaire (1997)

239 Citations

Removable singularities for some nonlinear elliptic equations

Haim Brezis;Laurent Veron.
Archive for Rational Mechanics and Analysis (1980)

220 Citations

Large time behaviour of the solutions of a semilinear parabolic equation in RN

Abdelilah Gmira;Laurent Veron.
Journal of Differential Equations (1984)

213 Citations

Boundary singularities of solutions of some nonlinear elliptic equations

Abdelilah Gmira;Laurent Véron.
Duke Mathematical Journal (1991)

206 Citations

Singular solutions of the p -Laplace equation

Satyanad Kichenassamy;Laurent Véron.
Mathematische Annalen (1986)

200 Citations

Semilinear elliptic equations with uniform blow-up on the boundary

Laurent Veron.
Journal D Analyse Mathematique (1992)

190 Citations

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.

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