World's Best Scientists 2026 revealed!

Overview

Jean Van Schaftingen is affiliated with the Université Catholique de Louvain in Belgium. Their research is primarily situated in the field of Mathematics, where they have contributed extensively with a total of 92 publications. Within this broad field, their work spans several subfields including Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials, and Numerical Analysis.

Their research topics cover multiple advanced and specialized areas in mathematics. These include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Harmonic Analysis Research
  • Differential Equations and Boundary Problems
  • Geometric Analysis and Curvature Flows
  • Advanced Mathematical Physics Problems
  • Numerical methods in inverse problems

Van Schaftingen has published frequently in several venues, particularly:

  • arXiv (Cornell University)
  • Calculus of Variations and Partial Differential Equations
  • Advances in Mathematics
  • Archive for Rational Mechanics and Analysis
  • Journal of Functional Analysis

Their recent academic papers include:

  • "A surprising formula for Sobolev norms" (2021) in Proceedings of the National Academy of Sciences
  • "Sobolev spaces revisited" (2022) in Rendiconti Lincei Matematica e Applicazioni
  • "Families of functionals representing Sobolev norms" (2024) in Analysis & PDE
  • "On limiting trace inequalities for vectorial differential operators" (2021) in Indiana University Mathematics Journal
  • "Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold" (2020) on arXiv (Cornell University)

Their frequent co-authors include:

  • Po-Lam Yung
  • Andreas Seeger
  • Haïm Brézis
  • Benoît Van Vaerenbergh
  • Bohdan Bulanyi

Van Schaftingen has also contributed to academic book publishing. One such work is titled Geometric and Analytic Aspects of Functional Variational Principles, published by Springer Nature in 2024.

Best Publications

  • Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

    Vitaly Moroz;Jean Van Schaftingen

  • A guide to the Choquard equation

    Vitaly Moroz;Jean Van Schaftingen

  • Existence of groundstates for a class of nonlinear Choquard equations

    Vitaly Moroz;Jean Van Schaftingen

  • Nodal solutions for the Choquard equation

    Marco Ghimenti;Jean Van Schaftingen

  • Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent

    Vitaly Moroz;Jean Van Schaftingen

  • Semi-classical states for the Choquard equation

    Vitaly Moroz;Jean Van Schaftingen

  • Hardy-Sobolev inequalities for vector fields and canceling linear differential operators

    Pierre Bousquet;Jean Van Schaftingen

  • Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

    Vitaly Moroz;Jean Van Schaftingen

  • Pathological solutions to elliptic problems in divergence form with continuous coefficients

    Tianling Jin;Vladimir Maz'ya;Vladimir Maz'ya;Jean Van Schaftingen

  • Estimates for L-1-vector fields

    Jean Van Schaftingen

  • Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency

    Carlo Mercuri;Vitaly Moroz;Jean Van Schaftingen

  • Desingularization of Vortices for the Euler Equation

    Didier Smets;Jean Van Schaftingen

  • Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

    Denis Bonheure;Jean Van Schaftingen

  • Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

    Vitaly Moroz;Jean Van Schaftingen

  • Semiclassical stationary states for nonlinear Schroedinger equations with fast decaying potentials

    Vitaly Moroz;Jean Van Schaftingen

  • Least action nodal solutions for the quadratic Choquard equation

    Marco Ghimenti;Vitaly Moroz;Jean Van Schaftingen

  • Boundary estimates for elliptic systems with L-1-data

    Haïm Brezis;Jean Van Schaftingen

  • Bound state solutions for a class of nonlinear Schrödinger equations

    Denis Bonheure;Jean Van Schaftingen

  • Odd symmetry of least energy nodal solutions for the Choquard equation

    David Ruiz;Jean Van Schaftingen

  • A surprising formula for Sobolev norms

    Haïm Brezis;Jean Van Schaftingen;Po-Lam Yung;Po-Lam Yung

Frequent Co-Authors

Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Jean-François Remacle
Jean-François Remacle Université Catholique de Louvain
Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Marco Squassina
Marco Squassina Catholic University of the Sacred Heart
Andreas Seeger
Andreas Seeger University of Wisconsin–Madison

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a degree in Mathematics opens doors to a variety of related online programs that can enhance career prospects. Many students explore business-oriented degrees, where skills in quantitative analysis and problem-solving are highly valued. For those interested in advancing their credentials swiftly, programs like the shortest online MBA offer an accelerated path to leadership roles.

Affordability and flexibility are also key factors for students balancing education with other commitments. The cheapest online master's in finance programs provide a cost-effective way to gain expertise in financial mathematics and investment analysis, complementing a math degree well.

For those aiming to combine business insight with technical knowledge, exploring the easiest online MBA programs can be beneficial. These programs offer a manageable curriculum while opening doors to managerial positions across various industries.

Additionally, the best 1 year DBA program online is an excellent option for those seeking advanced expertise in business administration quickly and affordably. Overall, combining mathematics with these online degrees can significantly broaden career pathways and growth opportunities.

Best Scientists Citing Jean Van Schaftingen

Trending Scientists