D-Index & Metrics Best Publications

D-Index & Metrics 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.

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 36 Citations 5,492 84 World Ranking 1790 National Ranking 108

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Quantum mechanics
  • Real number

Louis Jeanjean mainly investigates Mathematical analysis, Schrödinger equation, Standing wave, Monotonic function and Instability. His studies deal with areas such as Mountain pass theorem and Pure mathematics as well as Mathematical analysis. His Schrödinger equation research is multidisciplinary, incorporating perspectives in Bound state, Plasma and Nonlinear system.

His Nonlinear system research incorporates elements of Calculus of variations, Wave equation, Component and Mathematical physics. In his research on the topic of Monotonic function, Bounded function, Sequence and Cover is strongly related with Combinatorics. In his study, Schrödinger's cat and Norm is inextricably linked to Energy functional, which falls within the broad field of Instability.

His most cited work include:

  • On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN (621 citations)
  • Solutions for a quasilinear Schrödinger equation: a dual approach (295 citations)
  • A remark on least energy solutions in RN (245 citations)

What are the main themes of his work throughout his whole career to date?

His primary scientific interests are in Mathematical analysis, Nonlinear system, Mathematical physics, Combinatorics and Standing wave. He combines subjects such as Applied mathematics and Homoclinic orbit with his study of Mathematical analysis. His Nonlinear system research includes elements of Scalar field, Lagrange multiplier, Schrödinger's cat and Schrödinger equation.

His Mathematical physics study combines topics in areas such as Biharmonic equation, Orbital stability and Sobolev space. The study incorporates disciplines such as Lambda, Nabla symbol, Omega and Bounded function in addition to Combinatorics. His biological study spans a wide range of topics, including Complex system, Instability, Classical mechanics and Energy functional.

He most often published in these fields:

  • Mathematical analysis (35.79%)
  • Nonlinear system (32.63%)
  • Mathematical physics (24.21%)

What were the highlights of his more recent work (between 2017-2021)?

  • Nonlinear system (32.63%)
  • Mathematical physics (24.21%)
  • Scalar field (6.32%)

In recent papers he was focusing on the following fields of study:

Louis Jeanjean mostly deals with Nonlinear system, Mathematical physics, Scalar field, Lagrange multiplier and Multiplicity. His Nonlinear system study integrates concerns from other disciplines, such as Standing wave, Biharmonic equation, Mountain pass and Ground state. His Biharmonic equation study combines topics from a wide range of disciplines, such as Fourth order and Schrödinger equation.

His research in Mathematical physics intersects with topics in Sobolev space, Nonlinear Schrödinger equation, Energy functional and Maxima and minima. Within one scientific family, Louis Jeanjean focuses on topics pertaining to Constant under Scalar field, and may sometimes address concerns connected to Mathematical analysis. As a member of one scientific family, Louis Jeanjean mostly works in the field of Multiplicity, focusing on Pure mathematics and, on occasion, Bounded function.

Between 2017 and 2021, his most popular works were:

  • Multiple positive normalized solutions for nonlinear Schrödinger systems (31 citations)
  • Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime (22 citations)
  • Stationary Waves with Prescribed $L^2$-Norm for the Planar Schrödinger--Poisson System (15 citations)

In his most recent research, the most cited papers focused on:

  • Quantum mechanics
  • Mathematical analysis
  • Real number

His primary scientific interests are in Multiplicity, Scalar field, Standing wave, Schrödinger's cat and Compact space. His Multiplicity research is multidisciplinary, incorporating elements of Dimension, Pure mathematics, Combinatorics, Bounded function and Ground state. The concepts of his Pure mathematics study are interwoven with issues in Mountain pass and Nonlinear system.

His work on Scalar field is being expanded to include thematically relevant topics such as Monotonic function. His Standing wave research incorporates elements of Poisson system, Mathematical analysis and Applied mathematics. His research brings together the fields of Lagrange multiplier and Schrödinger's cat.

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.

Best Publications

On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN

Louis Jeanjean.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1999)

864 Citations

On the existence of bounded Palais–Smale sequences and application to a Landesman–Lazer-type problem set on ℝN

Louis Jeanjean.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1999)

864 Citations

Solutions for a quasilinear Schrödinger equation: a dual approach

Mathieu Colin;Louis Jeanjean.
Nonlinear Analysis-theory Methods & Applications (2004)

480 Citations

Solutions for a quasilinear Schrödinger equation: a dual approach

Mathieu Colin;Louis Jeanjean.
Nonlinear Analysis-theory Methods & Applications (2004)

480 Citations

A remark on least energy solutions in RN

Louis Jeanjean;Kazunaga Tanaka.
Proceedings of the American Mathematical Society (2002)

415 Citations

A remark on least energy solutions in RN

Louis Jeanjean;Kazunaga Tanaka.
Proceedings of the American Mathematical Society (2002)

415 Citations

Existence of solutions with prescribed norm for semilinear elliptic equations

Louis Jeanjean.
Nonlinear Analysis-theory Methods & Applications (1997)

309 Citations

Existence of solutions with prescribed norm for semilinear elliptic equations

Louis Jeanjean.
Nonlinear Analysis-theory Methods & Applications (1997)

309 Citations

Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity

Jaeyoung Byeon;Louis Jeanjean.
Archive for Rational Mechanics and Analysis (2007)

216 Citations

Standing Waves for Nonlinear Schrödinger Equations with a General Nonlinearity

Jaeyoung Byeon;Louis Jeanjean.
Archive for Rational Mechanics and Analysis (2007)

216 Citations

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