MATH
Chemin du Cyclotron 2/L7.01.02
1348 Louvain-la-Neuve
- Accueil
- Répertoire
- Jean Van Schaftingen
Jean Van Schaftingen
Professeur ordinaire
- Diplômes
Année Label Institution 2002 Ingénieur civil en mathématiques appliquées Université catholique de Louvain 2003 Diplôme d'études approfondies interuniversitaire en mathématiques Université catholique de Louvain 2005 Docteur en sciences Université catholique de Louvain
- Les cours
Nom ID Compléments d'analyse LINMA1315 Calcul numérique : méthodes et outils logiciels LMAT1151 Introduction à la démarche mathématique LMAT1191 Analyse fonctionnelle et équations aux dérivées partielles LMAT1321 Séminaire de formation au métier de chercheur en mathématique LMAT2160 Analyse harmonique avancée LMAT2415
2023
Van Schaftingen, Jean ; Van Vaerenbergh, Benoît. Asymptotic behavior of minimizing p-harmonic maps when p↗2 in dimension 2. In: Calculus of Variations and Partial Differential Equations, Vol. 62, no.8, p. 229 (2023). doi:10.1007/s00526-023-02568-6.
2023
Van Schaftingen, Jean. Fractional Gagliardo–Nirenberg interpolation inequality and bounded mean oscillation. In: Comptes Rendus. Mathématique, Vol. 361, no.G6, p. 1041-1049 (2023). doi:10.5802/crmath.463.
2023
Mazowiecka, Katarzyna Ewa ; Van Schaftingen, Jean. Quantitative characterization of traces of Sobolev maps. In: Communications in Contemporary Mathematics, Vol. 25, no. 02, p. 2250003 (2023). doi:10.1142/s0219199722500031.
2023
Domínguez, Óscar ; Seeger, Andreas ; Street, Brian ; Van Schaftingen, Jean ; Yung, Po-Lam. Spaces of Besov-Sobolev type and a problem on nonlinear approximation. In: Journal of Functional Analysis, Vol. 284, no.4, p. 109775 (2023). doi:10.1016/j.jfa.2022.109775.
2022
Van Schaftingen, Jean ; Yung, Po-Lam. Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. In: Annales Fennici Mathematici, Vol. 47, no.2, p. 1065-1098 (2022). doi:10.54330/afm.120959.
2022
Monteil, Antonin ; Rodiac, Rémy ; Van Schaftingen, Jean. Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. In: Mathematische Annalen, Vol. 383, p. 1061–1125 (2022). doi:10.1007/s00208-021-02204-8.
2022
Van Schaftingen, Jean. Reverse superposition estimates in Sobolev spaces. In: Pure and Applied Functional Analysis, Vol. 7, no.2, p. 805-811 (2022).
2022
Brezis, Haïm ; Seeger, Andreas ; Van Schaftingen, Jean ; Yung, Po-Lam. Sobolev spaces revisited. In: Rendiconti Lincei - Matematica e Applicazioni, Vol. 33, no.2, p. 413-437 (2022). doi:10.4171/rlm/976.
2021
Brezis, Haïm ; Van Schaftingen, Jean ; Yung, Po-Lam. A surprising formula for Sobolev norms. In: Proceedings of the National Academy of Sciences, Vol. 118, no.8, p. e2025254118 (2021). doi:10.1073/pnas.2025254118.
2021
Monteil, Antonin ; Rodiac, Rémy ; Van Schaftingen, Jean. Ginzburg–Landau Relaxation for Harmonic Maps on Planar Domains into a General Compact Vacuum Manifold. In: Archive for Rational Mechanics and Analysis, Vol. 242, no.2, p. 875-935 (2021). doi:10.1007/s00205-021-01695-8.
2021
Brezis, Haïm ; Van Schaftingen, Jean ; Yung, Po-Lam. Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. In: Calculus of Variations and Partial Differential Equations, Vol. 60, no.4, p. 129 (2021). doi:10.1007/s00526-021-02001-w.
2021
Mironescu, Petru ; Van Schaftingen, Jean. Lifting in compact covering spaces for fractional Sobolev mappings. In: Analysis & PDE, Vol. 14, no.6, p. 1851-1871 (2021). doi:10.2140/apde.2021.14.1851.
2021
Rodiac, Rémy ; Van Schaftingen, Jean. Metric characterization of the sum of fractional Sobolev spaces. In: Studia Mathematica, Vol. 258, no.1, p. 27-51 (2021). doi:10.4064/sm190408-21-4.
2021
Gmeineder, Franz ; Raita, Bogdan ; Van Schaftingen, Jean. On limiting trace inequalities for vectorial differential operators. In: Indiana University Mathematics Journal, Vol. 70, no.5, p. 2133-2176 (2021). doi:10.1512/iumj.2021.70.8682.
2021
Mironescu, Petru ; Van Schaftingen, Jean. Trace theory for Sobolev mappings into a manifold. In: Annales de la Faculté des sciences de Toulouse : Mathématiques, Vol. 30, no. 2, p. 281-299 (2021). doi:10.5802/afst.1675.
2020
Schikorra, Armin ; Van Schaftingen, Jean. An estimate of the Hopf degree of fractional Sobolev mappings. In: Proceedings of the American Mathematical Society, Vol. 148, no.7, p. 2877-2891 (2020). doi:10.1090/proc/15026.
2020
Nguyen, Hoai-Minh ; Van Schaftingen, Jean. Characterization of the traces on the boundary of functions in magnetic Sobolev spaces. In: Advances in Mathematics, Vol. 371, p. 107246 (2020). doi:10.1016/j.aim.2020.107246.
2020
Chanillo, Sagun ; Van Schaftingen, Jean. Estimates of the amplitude of holonomies by the curvature of a connection on a bundle. In: Pure and Applied Functional Analysis, Vol. 5, no.4, p. 891-897 (2020).
2020
Cassani, Daniele ; Van Schaftingen, Jean ; Zhang, Jianjun. Groundstates for Choquard type equations with Hardy–Littlewood–Sobolev lower critical exponent. In: Proceedings / The Royal Society of Edinburgh. Section A, Mathematics, Vol. 150, no. 3, p. 1377–1400. (2020). doi:10.1017/prm.2018.135.
2020
Dekeyser, Justin ; Van Schaftingen, Jean. Range convergence monotonicity for vector measures and range monotonicity of the mass. In: Ricerche di Matematica, Vol. 69, no. 1, p. 293-326 (2020). doi:10.1007/s11587-019-00463-x.
2020
Dekeyser, Justin ; Van Schaftingen, Jean. Vortex Motion for the Lake Equations. In: Communications in Mathematical Physics, Vol. 375, no.2, p. 1459-1501 (2020). doi:10.1007/s00220-020-03742-z.
2019
Van Schaftingen, Jean. Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. In: Advances in Nonlinear Analysis, Vol. 9, no.1, p. 1214-1250 (2019). doi:10.1515/anona-2020-0047.
2019
Convent, Alexandra ; Van Schaftingen, Jean. Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. In: Advances in Calculus of Variations, Vol. 12, no. 3, p. 303–332 (2019). doi:10.1515/acv-2017-0008.
2019
Spector, Daniel ; Van Schaftingen, Jean. Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. In: Rendiconti Lincei - Matematica e Applicazioni, Vol. 30, no.3, p. 413-436 (2019). doi:10.4171/rlm/854.
2019
Bonheure, Denis ; Nys, Manon ; Van Schaftingen, Jean. Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. In: Journal de Mathématiques Pures et Appliquées, Vol. 124, no. 1, p. 123-168 (2019). doi:10.1016/j.matpur.2018.05.007.
2019
Monteil, Antonin ; Van Schaftingen, Jean. Uniform boundedness principles for Sobolev maps into manifolds. In: Annales de l'Institut Henri Poincaré - C - Non Linear Analysis, Vol. 36, no.2, p. 417-449 (2019). doi:10.1016/j.anihpc.2018.06.002.
2018
Van Schaftingen, Jean ; Xia, Jiankang. Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. In: Journal of Mathematical Analysis and Applications, Vol. 464, no.2, p. 1184-1202 (2018). doi:10.1016/j.jmaa.2018.04.047.
2018
Battaglia, Luca ; Van Schaftingen, Jean. Groundstates of the Choquard equations with a sign-changing self-interaction potential. In: Zeitschrift für angewandte Mathematik und Physik, Vol. 69, no.3, p. 86 (2018). doi:10.1007/s00033-018-0975-0.
2018
Ruiz, David ; Van Schaftingen, Jean. Odd symmetry of least energy nodal solutions for the Choquard equation. In: Journal of Differential Equations, Vol. 264, p. 1231-1262 (2018). doi:10.1016/j.jde.2017.09.034.
2018
Bellazzini, Jacopo ; Ghimenti, Marco ; Mercuri, Carlo ; Moroz, Vitaly ; Van Schaftingen, Jean. Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces. In: Transactions of the American Mathematical Society, Vol. 370, no.11, p. 8285-8310 (2018). doi:10.1090/tran/7426.
2018
Bousquet, Pierre ; Ponce, Augusto ; Van Schaftingen, Jean. Weak approximation by bounded Sobolev maps with values into complete manifolds. In: Comptes Rendus Mathematique, Vol. 356, no. 3, p. 264-271 (2018). doi:10.1016/j.crma.2018.01.017.
2023
Van Schaftingen, Jean. Limiting Sobolev estimates for vector fields and cancelling differential operators. In: Jaroslav Lukeš, Zdeněk Mihula, Luboš Pick et Hana Turčinoá, Function spaces and applications XII (Pazeky nad Jizerou 2023), MatfyzPress: Prague, 2023, p. 135-152. 978-80-7378-485-0. doi:https://doi.org/10.48550/arXiv.2304.14112.
2019
Chemin, Alexandre ; Henrotte, François ; Remacle, Jean-François ; Van Schaftingen, Jean. Representing Three-Dimensional Cross Fields Using Fourth Order Tensors. In: Roca, Xevi; Loseille, Adrien (Ed.), 27th International Meshing Roundtable, Springer, Cham: Switzerland AG, 2019. 978-3-030-13991-9. doi:10.1007/978-3-030-13992-6_6.