小瓢虫传媒

Bulanyi, Bohdan ; Van Schaftingen, Jean. Singular extension of critical Sobolev mappings under an exponential weak-type estimate. In: Journal of Functional Analysis, Vol. 288, no.1, p. 110681 (2025). doi:10.1016/j.jfa.2024.110681.

Gmeineder, Franz ; Rai牛膬, Bogdan ; Van Schaftingen, Jean. Boundary ellipticity and limiting L1-estimates on halfspaces. In: Advances in Mathematics, Vol. 439, no., p. 109490 (2024). doi:10.1016/j.aim.2024.109490.

Brezis, Ha茂m ; Seeger, Andreas ; Van Schaftingen, Jean ; Yung, Po-Lam. Families of functionals representing Sobolev norms. In: Analysis & P D E, Vol. 17, no.3, p. 943-979 (2024). doi:10.2140/apde.2024.17.943.

Van Schaftingen, Jean ; Van Vaerenbergh, Beno卯t. Asymptotic behavior of minimizing p-harmonic maps when p鈫�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.

Van Schaftingen, Jean. Fractional Gagliardo鈥揘irenberg interpolation inequality and bounded mean oscillation. In: Comptes Rendus. Math茅matique, Vol. 361, no.G6, p. 1041-1049 (2023). doi:10.5802/crmath.463.

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.

Dom铆nguez, 脫scar ; 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.

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.

Monteil, Antonin ; Rodiac, R茅my ; Van Schaftingen, Jean. Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. In: Mathematische Annalen, Vol. 383, p. 1061鈥�1125 (2022). doi:10.1007/s00208-021-02204-8.

Van Schaftingen, Jean. Reverse superposition estimates in Sobolev spaces. In: Pure and Applied Functional Analysis, Vol. 7, no.2, p. 805-811 (2022).

Brezis, Ha茂m ; 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.

Brezis, Ha茂m ; 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.

Monteil, Antonin ; Rodiac, R茅my ; Van Schaftingen, Jean. Ginzburg鈥揕andau 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.

Brezis, Ha茂m ; 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.

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.

Rodiac, R茅my ; 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.

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.

Mironescu, Petru ; Van Schaftingen, Jean. Trace theory for Sobolev mappings into a manifold. In: Annales de la Facult茅 des sciences de Toulouse : Math茅matiques, Vol. 30, no. 2, p. 281-299 (2021). doi:10.5802/afst.1675.

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.

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.

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).

Cassani, Daniele ; Van Schaftingen, Jean ; Zhang, Jianjun. Groundstates for Choquard type equations with Hardy鈥揕ittlewood鈥揝obolev lower critical exponent. In: Proceedings / The Royal Society of Edinburgh. Section A, Mathematics, Vol. 150, no. 3, p. 1377鈥�1400. (2020). doi:10.1017/prm.2018.135.

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.

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.

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.

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鈥�332 (2019). doi:10.1515/acv-2017-0008.

Spector, Daniel ; Van Schaftingen, Jean. Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo鈥檚 lemma. In: Rendiconti Lincei - Matematica e Applicazioni, Vol. 30, no.3, p. 413-436 (2019). doi:10.4171/rlm/854.

Bonheure, Denis ; Nys, Manon ; Van Schaftingen, Jean. Properties of ground states of nonlinear Schr枚dinger equations under a weak constant magnetic field. In: Journal de Math茅matiques Pures et Appliqu茅es, Vol. 124, no. 1, p. 123-168 (2019). doi:10.1016/j.matpur.2018.05.007.

Monteil, Antonin ; Van Schaftingen, Jean. Uniform boundedness principles for Sobolev maps into manifolds. In: Annales de l'Institut Henri Poincar茅 - C - Non Linear Analysis, Vol. 36, no.2, p. 417-449 (2019). doi:10.1016/j.anihpc.2018.06.002.

Van Schaftingen, Jean. Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operators (Trends in Mathematics; 3), Birkh盲user: Cham, 2024. 978-3-031-48579-4. 10 p. doi:10.1007/978-3-031-48579-4_5.

Van Schaftingen, Jean. Injective Ellipticity, Cancelling Operators, and Endpoint Gagliardo-Nirenberg-Sobolev Inequalities for Vector Fields. In: Andrea Cianchi, Vladimir G. Maz'ya, Tobias Weth, Geometric and Analytic Aspects of Functional Variational Principles (Lecture Notes in Mathematics; 2348), Springer: Cham, 2024, p. 259-317. 9783031676000. doi:10.1007/978-3-031-67601-7_5.

Van Schaftingen, Jean. Limiting Sobolev estimates for vector fields and cancelling differential operators. In: Jaroslav Luke拧, Zden臎k Mihula, Lubo拧 Pick et Hana Tur膷ino谩, 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.

Chemin, Alexandre ; Henrotte, Fran莽ois ; Remacle, Jean-Fran莽ois ; 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.