MATH
Chemin du Cyclotron 2/L7.01.02
1348 Louvain-la-Neuve
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- Répertoire
- Jean Van Schaftingen
Jean Van Schaftingen
Professeur
- 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
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
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.
2017
Moroz, Vitaly ; Van Schaftingen, Jean. A guide to the Choquard equation. In: Journal of Fixed Point Theory and Applications, Vol. 19, no.1, p. 773-813 (2016). doi:10.1007/s11784-016-0373-1.
2017
Schikorra, Armin ; Spector, Daniel ; Van Schaftingen, Jean. An L¹-type estimate for Riesz potentials. In: Revista Matematica Iberoamericana, Vol. 33, no.1, p. 291-303 (2017). doi:10.4171/rmi/937.
2017
Van Schaftingen, Jean ; Dekeyser, Justin. Approximation of symmetrizations by Markov processes. In: Indiana University Mathematics Journal, Vol. 66, p. 1145-1172 (2017). doi:10.1512/iumj.2017.66.6118.
2017
Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po-Lam. Bourgain–Brezis inequalities on symmetric spaces of non-compact type. In: Journal of Functional Analysis, Vol. 273, no.4, p. 1504-1547 (2017). doi:10.1016/j.jfa.2017.05.005.
2017
Petrache, Mircea ; Van Schaftingen, Jean. Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds. In: International Mathematics Research Notices, Vol. 2017, no.12, p. 3647-3683 (2017). doi:10.1093/imrn/rnw109.
2017
Bousquet, Pierre ; Ponce, Augusto ; Van Schaftingen, Jean. Density of bounded maps in Sobolev spaces into complete manifolds. In: Annali di Matematica Pura ed Applicata (1923 -), Vol. 196, no. 6, p. 2261–2301 (2017). doi:10.1007/s10231-017-0664-1.
2017
Battaglia, Luca ; Van Schaftingen, Jean. Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane. In: Advanced Nonlinear Studies, Vol. 17, p. 581-594 (2017). doi:10.1515/ans-2016-0038.
2017
Ponce, Augusto ; Van Schaftingen, Jean. Gauge-measurable functions. In: Rend. Ist. Mat. Univ. Trieste, Vol. 49, no.n/p, p. 113-135.
2017
Ghimenti, Marco ; Moroz, Vitaly ; Van Schaftingen, Jean. Least action nodal solutions for the quadratic Choquard equation. In: Proceedings of the American Mathematical Society, Vol. 145, no.2, p. 737-747 (2016). doi:10.1090/proc/13247.
2017
Fournais, Søren ; Le Treust, Loïc ; Raymond, Nicolas ; Van Schaftingen, Jean. Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. In: Journal of the Mathematical Society of Japan, Vol. 69, p. 1667-1714 (2017). doi:10.2969/jmsj/06941667.
2017
Van Schaftingen, Jean ; Xia, Jiankang. Standing waves with a critical frequency for nonlinear Choquard equations. In: Nonlinear Analysis, Vol. 161, p. 87-107 (2017). doi:10.1016/j.na.2017.05.014.
2017
Bonheure, Denis ; Cingolani, Silvia ; Van Schaftingen, Jean. The logarithmic Choquard equation: Sharp asymptotics and nondegeneracy of the groundstate. In: Journal of Functional Analysis, Vol. 272, no.12, p. 5255-5281 (2017). doi:10.1016/j.jfa.2017.02.026.
2017
Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po-Lam. Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. In: Chinese Annals of Mathematics. Series B, Vol. 38, no.1, p. 235-252 (2017). doi:10.1007/s11401-016-1069-y.
2016
Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po-Lam. Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism. In: Comptes rendus - Mathématique, Vol. 354, no.1, p. 51-55 (2016). doi:10.1016/j.crma.2015.10.005.
2016
Van Schaftingen, Jean ; Xia, Jiankang. Choquard equations under confining external potentials. In: NoDEA Nonlinear Differential Equations and Applications, Vol. 24, no.1, p. 1–24 (2016). doi:10.1007/s00030-016-0424-8.
2016
Convent, Alexandra ; Van Schaftingen, Jean. Geometric partial differentiability on manifolds: The tangential derivative and the chain rule. In: Journal of Mathematical Analysis and Applications, Vol. 435, no.2, p. 1672-1681 (2016). doi:10.1016/j.jmaa.2015.11.036.
2016
Mercuri, Carlo ; Moroz, Vitaly ; Van Schaftingen, Jean. Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency. In: Calculus of Variations and Partial Differential Equations, Vol. 55, no.6, p. 58 (2016). doi:10.1007/s00526-016-1079-3.
2016
Convent, Alexandra ; Van Schaftingen, Jean. Intrinsic colocal weak derivatives and Sobolev spaces between manifolds . In: Annali della Scuola Normale Superiore, Vol. 16, no.1, p. 97-128 (2016). doi:10.2422/2036-2145.201312_005.
2016
Ghimenti, Marco ; Van Schaftingen, Jean. Nodal solutions for the Choquard equation. In: Journal of Functional Analysis, Vol. 271, no.1, p. 107-135 (2016). doi:10.1016/j.jfa.2016.04.019.
2015
Moroz, Vitaly ; Van Schaftingen, Jean. Existence of groundstates for a class of nonlinear Choquard equations. In: Transactions of the American mathematical society, Vol. 367, no.9, p. 6557-6579 (2014). doi:10.1090/S0002-9947-2014-06289-2.
2015
Moroz, Vitaly ; Van Schaftingen, Jean. Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent. In: Communications in Contemporary Mathematics, Vol. 17, no. 05, p. 1550005 (2015). doi:10.1142/S0219199715500054.
2015
Moroz, Vitaly ; Van Schaftingen, Jean. Semi-classical states for the Choquard equation. In: Calculus of Variations and Partial Differential Equations, Vol. 52, no.1-2, p. 199-235 (2014). doi:10.1007/s00526-014-0709-x.
2015
Di Cosmo, Jonathan ; Van Schaftingen, Jean. Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. In: Journal of Differential Equations, Vol. 259, no.2, p. 596-627 (2015). doi:10.1016/j.jde.2015.02.016.
2015
Bousquet, Pierre ; Ponce, Augusto ; Van Schaftingen, Jean. Strong density for higher order Sobolev spaces into compact manifolds. In: Journal of the european mathematical society, Vol. 17, no.4, p. 763-817 (2015). doi:10.4171/JEMS/518.
2014
Van Schaftingen, Jean. Approximation in Sobolev spaces by piecewise affine interpolation. In: Journal of Mathematical Analysis and Applications, Vol. 420, no. 1, p. 40-47 (2014). doi:10.1016/j.jmaa.2014.05.036.
2014
Van Schaftingen, Jean. Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement. In: Archiv der Mathematik, Vol. 103, no.4, p. 367−379 (2014). doi:10.1007/s00013-014-0695-4.
2014
Moroz, Vitaly ; Van Schaftingen, Jean. Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential. In: Edinburgh Mathematical Society. Proceedings, Vol. 58, no.1, p. 255−271 (2015). doi:10.1017/S0013091513000588.
2014
Bousquet, Pierre ; Van Schaftingen, Jean. Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. In: Indiana University Mathematics Journal, Vol. 63, no.5, p. 1419-1445 (2014). doi:10.1512/iumj.2014.63.5395.
2014
Van Schaftingen, Jean. Interpolation inequalities between Sobolev and Morrey-Campanato spaces: A common gateway to concentration-compactness and Gagliardo-Nirenberg. In: Portugaliae Mathematica, Vol. 71, no.3, p. 159–175 (2014). doi:10.4171/PM/1947.
2014
Van Schaftingen, Jean. Limiting Bourgain–Brezis estimates for systems of linear differential equations: Theme and variations. In: Journal of Fixed Point Theory and Applications, Vol. 15, no.2, p. 273-297 (2014). doi:10.1007/s11784-014-0177-0.
2014
Bousquet, Pierre ; Ponce, Augusto ; Van Schaftingen, Jean. Strong approximation of fractional Sobolev maps. In: Journal of Fixed Point Theory and Applications, Vol. 15, no.1, p. 133-153 (2014). doi:10.1007/s11784-014-0172-5.
2017
Chanillo, Sagun ; Van Schaftingen, Jean ; Yung, Po Lam. The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity. In: Sagun Chanillo, Bruno Franchi, Guozhen Lu, Carlos Perez, Eric T. Sawyer, Harmonic Analysis, Partial Differential Equations and Applications. In Honor of Richard L. Wheeden (Applied and Numerical Harmonic Analysis ), Springer, 2017, p. 19-25. 978-3-319-52741-3. doi:10.1007/978-3-319-52742-0_2.