## Van Schaftingen, Jean

Compute Distance To:
 Author ID: van-schaftingen.jean Published as: Van Schaftingen, Jean; van Schaftingen, Jean; Van Schaftingen, J. Homepage: http://perso.uclouvain.be/jean.vanschaftingen/ External Links: MGP · ORCID · ResearchGate
 Documents Indexed: 96 Publications since 2004 1 Contribution as Editor Co-Authors: 47 Co-Authors with 79 Joint Publications 972 Co-Co-Authors
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### Co-Authors

 17 single-authored 13 Moroz, Vitaly 9 Ponce, Augusto C. 8 Bonheure, Denis 7 Bousquet, Pierre 6 Chanillo, Sagun 5 Yung, Polam 4 Meunier, Nicolas 3 Brézis, Haïm 3 Convent, Alexandra 3 Dekeyser, Justin 3 Di Cosmo, Jonathan 3 Ghimenti, Marco G. 3 Willem, Michel 3 Xia, Jiankang 2 Battaglia, Luca 2 Bouchez, Vincent 2 Damlamian, Alain 2 Mercuri, Carlo 2 Mironescu, Petru 2 Monteil, Antonin 2 Rodiac, Rémy 2 Schikorra, Armin 2 Spector, Daniel E. 1 Bellazzini, Jacopo 1 Cassani, Daniele 1 Chemin, Alexandre 1 Cingolani, Silvia 1 Cuesta, Mabel 1 De Valeriola, Sébastien 1 Fournais, Søren 1 Gmeineder, Franz 1 Grumiau, Christopher 1 Henrotte, François 1 Jin, Tianling 1 Lami Dozo, Enrique J. 1 Le Treust, Loïc 1 Maz’ya, Vladimir Gilelevich 1 Nguyen, Hoai-Minh 1 Nys, Manon 1 Petrache, Mircea 1 Raită, Bogdan 1 Raymond, Nicolas 1 Remacle, Jean-François 1 Smets, Didier 1 Squassina, Marco 1 Takáč, Peter 1 Zhang, Jianjun
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### Serials

 9 Comptes Rendus. Mathématique. Académie des Sciences, Paris 6 Calculus of Variations and Partial Differential Equations 5 Journal of Functional Analysis 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Indiana University Mathematics Journal 3 Communications in Contemporary Mathematics 3 Journal of Fixed Point Theory and Applications 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Archiv der Mathematik 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Ricerche di Matematica 2 Transactions of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Revista Matemática Iberoamericana 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Topological Methods in Nonlinear Analysis 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Studia Mathematica 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Journal of the Mathematical Society of Japan 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Differential and Integral Equations 1 IMRN. International Mathematics Research Notices 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Research Letters 1 Portugaliae Mathematica. Nova Série 1 Advanced Nonlinear Studies 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Contemporary Mathematics 1 Advances in Calculus of Variations 1 Analysis & PDE 1 Confluentes Mathematici 1 Annals of the University of Bucharest. Mathematical Series 1 Advances in Nonlinear Analysis 1 Pure and Applied Functional Analysis
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### Fields

 63 Partial differential equations (35-XX) 37 Functional analysis (46-XX) 24 Real functions (26-XX) 20 Global analysis, analysis on manifolds (58-XX) 7 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Fluid mechanics (76-XX) 4 Measure and integration (28-XX) 3 Differential geometry (53-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

88 Publications have been cited 1,994 times in 895 Documents Cited by Year
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048
Moroz, Vitaly; Van Schaftingen, Jean
2013
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052
Moroz, Vitaly; van Schaftingen, Jean
2015
A guide to the Choquard equation. Zbl 1360.35252
Moroz, Vitaly; Van Schaftingen, Jean
2017
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109
Moroz, Vitaly; Van Schaftingen, Jean
2015
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
2015
Nodal solutions for the Choquard equation. Zbl 1345.35046
Ghimenti, Marco; Van Schaftingen, Jean
2016
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083
Moroz, Vitaly; Van Schaftingen, Jean
2013
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055
Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean
2009
Desingularization of vortices for the Euler equation. Zbl 1228.35171
Smets, Didier; Van Schaftingen, Jean
2010
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
2008
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032
Van Schaftingen, Jean
2013
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038
Moroz, Vitaly; Van Schaftingen, Jean
2010
Estimates for $$L^{1}$$-vector fields. Zbl 1049.35069
Van Schaftingen, Jean
2004
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
2010
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079
Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean
2017
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365
Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean
2016
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011
Ruiz, David; Van Schaftingen, Jean
2018
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094
Van Schaftingen, Jean; Xia, Jiankang
2018
Anisotropic symmetrization. Zbl 1133.42038
Van Schaftingen, Jean
2006
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025
Van Schaftingen, Jean; Willem, Michel
2008
Choquard equations under confining external potentials. Zbl 1378.35144
Van Schaftingen, Jean; Xia, Jiankang
2017
Boundary estimates for elliptic systems with $$L^{1}$$- data. Zbl 1149.35025
Brezis, Haïm; Van Schaftingen, Jean
2007
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
2017
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005
van Schaftingen, Jean
2014
Symmetrization and minimax principles. Zbl 1206.35088
Van Schaftingen, Jean
2005
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034
Van Schaftingen, J.; Willem, M.
2004
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012
van Schaftingen, Jean
2006
A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015
Van Schaftingen, Jean
2004
An $$L^1$$-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
2017
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032
Van Schaftingen, Jean; Xia, Jiankang
2017
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023
Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean
2018
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037
Bousquet, Pierre; Van Schaftingen, Jean
2014
Estimates for $$L^{1}$$-vector fields under higher-order differential conditions. Zbl 1228.46034
Van Schaftingen, Jean
2008
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119
Chanillo, Sagun; Van Schaftingen, Jean
2009
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012
Van Schaftingen, Jean
2010
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
2007
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
2006
Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037
Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean
2008
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005
Convent, Alexandra; Van Schaftingen, Jean
2016
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
2015
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052
Van Schaftingen, Jean
2009
Density of smooth maps for fractional Sobolev spaces $$W^{s, p}$$ into $$\ell$$ simply connected manifolds when $$s \geq 1$$. Zbl 1314.58005
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2013
Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032
Van Schaftingen, Jean
2014
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057
Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean
2012
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014
Van Schaftingen, Jean
2006
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105
Brezis, Haïm; van Schaftingen, Jean
2008
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200
Di Cosmo, Jonathan; Van Schaftingen, Jean
2015
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083
de Valeriola, Sébastien; Van Schaftingen, Jean
2013
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
2018
Reiterated homogenization for elliptic operators. Zbl 1063.35027
Meunier, Nicolas; Van Schaftingen, Jean
2005
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024
Van Schaftingen, Jean
2006
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310
Meunier, Nicolas; Van Schaftingen, Jean
2005
Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088
Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean
2019
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2014
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
2019
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364
Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean
2017
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227
Moroz, Vitaly; Van Schaftingen, Jean
2009
Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213
Di Cosmo, Jonathan; Van Schaftingen, Jean
2013
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039
Moroz, Vitaly; Van Schaftingen, Jean
2012
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031
Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean
2019
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
2008
Closure of smooth maps in $$W^{1,p}(B^3;S^2)$$. Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean
2009
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025
Bouchez, Vincent; Van Schaftingen, Jean
2011
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001
Van Schaftingen, Jean
2014
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
2017
Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120
Moroz, Vitaly; van Schaftingen, Jean
2015
Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. (Applications des inégalités de Bourgain-Brézis à la mécanique des fluides et au magnétisme.) Zbl 1338.35325
Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam
2016
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002
Petrache, Mircea; Van Schaftingen, Jean
2017
The continuity of functions with $$N$$-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean
2007
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
2017
Vortex motion for the lake equations. Zbl 1443.76117
Dekeyser, Justin; Van Schaftingen, Jean
2020
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008
Convent, Alexandra; Van Schaftingen, Jean
2019
Weak approximation by bounded Sobolev maps with values into complete manifolds. (Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2018
Finding critical points whose polarization is also a critical point. Zbl 1283.35023
Squassina, Marco; Van Schaftingen, Jean
2012
A case of density in $$W^{2,p}(M;N)$$. Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2008
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005
Convent, Alexandra; Van Schaftingen, Jean
2016
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 06732257
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
2017
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008
Van Schaftingen, Jean
2020
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013
Van Schaftingen, Jean
2013
Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002
2011
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035
Monteil, Antonin; Van Schaftingen, Jean
2019
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099
Mironescu, Petru; Van Schaftingen, Jean
2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
2021
Approximation of symmetrizations by Markov processes. Zbl 1454.60026
Van Schaftingen, Jean; Dekeyser, Justin
2017
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 07204747
Schikorra, Armin; van Schaftingen, Jean
2020
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
2021
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099
Mironescu, Petru; Van Schaftingen, Jean
2021
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
2021
Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
2021
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
2020
Vortex motion for the lake equations. Zbl 1443.76117
Dekeyser, Justin; Van Schaftingen, Jean
2020
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008
Van Schaftingen, Jean
2020
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 07204747
Schikorra, Armin; van Schaftingen, Jean
2020
Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088
Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean
2019
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
2019
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031
Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean
2019
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008
Convent, Alexandra; Van Schaftingen, Jean
2019
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035
Monteil, Antonin; Van Schaftingen, Jean
2019
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011
Ruiz, David; Van Schaftingen, Jean
2018
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094
Van Schaftingen, Jean; Xia, Jiankang
2018
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023
Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean
2018
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
2018
Weak approximation by bounded Sobolev maps with values into complete manifolds. (Densité faible des fonctions de Sobolev bornées à valeurs dans des variétés complètes.) Zbl 1390.58008
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2018
A guide to the Choquard equation. Zbl 1360.35252
Moroz, Vitaly; Van Schaftingen, Jean
2017
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079
Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean
2017
Choquard equations under confining external potentials. Zbl 1378.35144
Van Schaftingen, Jean; Xia, Jiankang
2017
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
2017
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
2017
An $$L^1$$-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
2017
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032
Van Schaftingen, Jean; Xia, Jiankang
2017
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364
Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean
2017
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
2017
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002
Petrache, Mircea; Van Schaftingen, Jean
2017
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
2017
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 06732257
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
2017
Approximation of symmetrizations by Markov processes. Zbl 1454.60026
Van Schaftingen, Jean; Dekeyser, Justin
2017
Nodal solutions for the Choquard equation. Zbl 1345.35046
Ghimenti, Marco; Van Schaftingen, Jean
2016
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365
Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean
2016
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005
Convent, Alexandra; Van Schaftingen, Jean
2016
Applications of Bourgain-Brézis inequalities to fluid mechanics and magnetism. (Applications des inégalités de Bourgain-Brézis à la mécanique des fluides et au magnétisme.) Zbl 1338.35325
Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam
2016
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005
Convent, Alexandra; Van Schaftingen, Jean
2016
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052
Moroz, Vitaly; van Schaftingen, Jean
2015
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109
Moroz, Vitaly; Van Schaftingen, Jean
2015
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
2015
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
2015
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200
Di Cosmo, Jonathan; Van Schaftingen, Jean
2015
Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120
Moroz, Vitaly; van Schaftingen, Jean
2015
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005
van Schaftingen, Jean
2014
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037
Bousquet, Pierre; Van Schaftingen, Jean
2014
Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032
Van Schaftingen, Jean
2014
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2014
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001
Van Schaftingen, Jean
2014
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048
Moroz, Vitaly; Van Schaftingen, Jean
2013
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083
Moroz, Vitaly; Van Schaftingen, Jean
2013
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032
Van Schaftingen, Jean
2013
Density of smooth maps for fractional Sobolev spaces $$W^{s, p}$$ into $$\ell$$ simply connected manifolds when $$s \geq 1$$. Zbl 1314.58005
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2013
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083
de Valeriola, Sébastien; Van Schaftingen, Jean
2013
Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213
Di Cosmo, Jonathan; Van Schaftingen, Jean
2013
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013
Van Schaftingen, Jean
2013
Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057
Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean
2012
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039
Moroz, Vitaly; Van Schaftingen, Jean
2012
Finding critical points whose polarization is also a critical point. Zbl 1283.35023
Squassina, Marco; Van Schaftingen, Jean
2012
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025
Bouchez, Vincent; Van Schaftingen, Jean
2011
Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002
2011
Desingularization of vortices for the Euler equation. Zbl 1228.35171
Smets, Didier; Van Schaftingen, Jean
2010
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038
Moroz, Vitaly; Van Schaftingen, Jean
2010
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
2010
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012
Van Schaftingen, Jean
2010
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055
Jin, Tianling; Maz&rsquo;ya, Vladimir; Van Schaftingen, Jean
2009
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119
Chanillo, Sagun; Van Schaftingen, Jean
2009
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052
Van Schaftingen, Jean
2009
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227
Moroz, Vitaly; Van Schaftingen, Jean
2009
Closure of smooth maps in $$W^{1,p}(B^3;S^2)$$. Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean
2009
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
2008
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025
Van Schaftingen, Jean; Willem, Michel
2008
Estimates for $$L^{1}$$-vector fields under higher-order differential conditions. Zbl 1228.46034
Van Schaftingen, Jean
2008
Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037
Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean
2008
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105
Brezis, Haïm; van Schaftingen, Jean
2008
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
2008
A case of density in $$W^{2,p}(M;N)$$. Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
2008
Boundary estimates for elliptic systems with $$L^{1}$$- data. Zbl 1149.35025
Brezis, Haïm; Van Schaftingen, Jean
2007
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
2007
The continuity of functions with $$N$$-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean
2007
Anisotropic symmetrization. Zbl 1133.42038
Van Schaftingen, Jean
2006
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012
van Schaftingen, Jean
2006
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
2006
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014
Van Schaftingen, Jean
2006
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024
Van Schaftingen, Jean
2006
Symmetrization and minimax principles. Zbl 1206.35088
Van Schaftingen, Jean
2005
Reiterated homogenization for elliptic operators. Zbl 1063.35027
Meunier, Nicolas; Van Schaftingen, Jean
2005
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310
Meunier, Nicolas; Van Schaftingen, Jean
2005
Estimates for $$L^{1}$$-vector fields. Zbl 1049.35069
Van Schaftingen, Jean
2004
Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034
Van Schaftingen, J.; Willem, M.
2004
A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015
Van Schaftingen, Jean
2004
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### Cited by 885 Authors

 61 Van Schaftingen, Jean 32 Yang, Minbo 18 Cao, Daomin 17 Bonheure, Denis 17 Squassina, Marco 16 Alves, Claudianor Oliveira 16 Gao, Fashun 16 Tang, Xianhua 15 Sreenadh, Konijeti 13 Moroz, Vitaly 11 Li, Guidong 11 Mingione, Giuseppe 11 Zhang, Binlin 10 Cingolani, Silvia 10 Wang, Jun 10 Zhang, Jianjun 9 Chen, Sitong 9 Figueiredo, Giovany Malcher 9 Liang, Sihua 9 Mukherjee, Tuhina 9 Peng, Shuangjie 9 Rădulescu, Vicenţiu D. 9 Saanouni, Tarek 9 Spector, Daniel E. 9 Tang, Chunlei 9 Wang, Guodong 9 Xia, Jiankang 8 Brézis, Haïm 8 Cianchi, Andrea 8 Dai, Wei 8 Ponce, Augusto C. 8 Yung, Polam 8 Zhang, Fubao 7 Bousquet, Pierre 7 d’Avenia, Pietro 7 Ghergu, Marius 7 Goel, Divya 7 Li, Xinfu 7 Li, Yong-Yong 7 Ma, Shiwang 7 Orlandi, Giandomenico 7 Raită, Bogdan 7 Stolyarov, Dmitry M. 6 Canevari, Giacomo 6 Cassani, Daniele 6 Ghimenti, Marco G. 6 Giacomoni, Jacques 6 Guo, Hui 6 Kuusi, Tuomo 6 Lü, Dengfeng 6 Mercuri, Carlo 6 Qin, Dongdong 6 Shen, Zifei 6 Wan, Jie 6 Xiang, Mingqi 6 Zhang, Hui 6 Zhang, Jihui 5 Ambrosio, Vincenzo 5 Baldi, Annalisa 5 Bueno, Hamilton P. 5 Chanillo, Sagun 5 Chen, Jianqing 5 Deng, Yinbin 5 Franchi, Bruno 5 Gmeineder, Franz 5 Grumiau, Christopher 5 He, Xiaoming 5 Jeanjean, Louis 5 Kim, Youchan 5 Li, Quanqing 5 Miyagaki, Olimpio Hiroshi 5 Pansu, Pierre 5 Picon, Tiago Henrique 5 Rivière, Tristan 5 Sang, Yanbin 5 Schikorra, Armin 5 Secchi, Simone 5 Shuai, Wei 5 Song, Yueqiang 5 Tanaka, Kazunaga 5 Teng, Kaimin 5 Wang, Qingxuan 5 Wang, Zhi-Qiang 5 Wei, Juncheng 5 Wu, Tsungfang 5 Xiao, Lu 5 Zhang, Wei 4 Badiale, Marino 4 Bartsch, Thomas J. 4 Chen, Wenjing 4 Da Silva, Edcarlos Domingos 4 Dávila, Juan 4 Di Cosmo, Jonathan 4 Do Ó, João M. Bezerra 4 Feng, Binhua 4 Liu, Senli 4 Liu, Zhisu 4 Luo, Huxiao 4 Luo, Xiao 4 Luo, Yong ...and 785 more Authors
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### Cited in 158 Serials

 65 Journal of Mathematical Analysis and Applications 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal of Differential Equations 50 Calculus of Variations and Partial Differential Equations 31 Journal of Mathematical Physics 28 Journal of Functional Analysis 24 Communications on Pure and Applied Analysis 22 Advances in Nonlinear Analysis 20 ZAMP. Zeitschrift für angewandte Mathematik und Physik 20 Applied Mathematics Letters 19 Discrete and Continuous Dynamical Systems 17 Archive for Rational Mechanics and Analysis 17 Communications in Contemporary Mathematics 16 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Boundary Value Problems 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 NoDEA. Nonlinear Differential Equations and Applications 14 Advanced Nonlinear Studies 14 Complex Variables and Elliptic Equations 13 Topological Methods in Nonlinear Analysis 12 The Journal of Geometric Analysis 10 Proceedings of the American Mathematical Society 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Annali di Matematica Pura ed Applicata. Serie Quarta 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Mediterranean Journal of Mathematics 8 Applicable Analysis 8 Computers & Mathematics with Applications 8 Nonlinearity 8 Nonlinear Analysis. Real World Applications 7 Communications in Mathematical Physics 7 SIAM Journal on Mathematical Analysis 7 Journal of the European Mathematical Society (JEMS) 7 Journal of Fixed Point Theory and Applications 6 Advances in Mathematics 6 Mathematische Annalen 6 Transactions of the American Mathematical Society 6 Acta Applicandae Mathematicae 6 Revista Matemática Iberoamericana 6 Discrete and Continuous Dynamical Systems. Series S 6 Advances in Calculus of Variations 6 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 5 Milan Journal of Mathematics 5 Analysis and Mathematical Physics 5 SN Partial Differential Equations and Applications 4 Asymptotic Analysis 4 Acta Mathematica Sinica. English Series 4 Advances in Mathematical Physics 4 Science China. Mathematics 3 Journal d’Analyse Mathématique 3 Applied Mathematics and Optimization 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Electronic Journal of Differential Equations (EJDE) 3 Opuscula Mathematica 3 Journal of Mathematical Fluid Mechanics 3 Electronic Research Archive 2 Indian Journal of Pure & Applied Mathematics 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Indiana University Mathematics Journal 2 Mathematische Nachrichten 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 Ricerche di Matematica 2 Advances in Applied Mathematics 2 Chinese Annals of Mathematics. Series B 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Mathematics 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational and Applied Mathematics 2 Journal of Evolution Equations 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of Mathematical Sciences 2 Mathematical Control and Related Fields 2 Journal of Applied Analysis and Computation 2 Journal of Function Spaces 2 Open Mathematics 2 Minimax Theory and its Applications 2 AIMS Mathematics 2 Mathematics in Engineering 1 Bulletin of the Australian Mathematical Society 1 General Relativity and Gravitation 1 Physics Letters. A 1 Reports on Mathematical Physics 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 Annales Polonici Mathematici ...and 58 more Serials
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### Cited in 42 Fields

 758 Partial differential equations (35-XX) 113 Functional analysis (46-XX) 83 Calculus of variations and optimal control; optimization (49-XX) 70 Global analysis, analysis on manifolds (58-XX) 62 Real functions (26-XX) 40 Fluid mechanics (76-XX) 35 Operator theory (47-XX) 33 Quantum theory (81-XX) 25 Differential geometry (53-XX) 20 Mechanics of deformable solids (74-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Measure and integration (28-XX) 12 Integral equations (45-XX) 10 Convex and discrete geometry (52-XX) 9 Potential theory (31-XX) 8 Ordinary differential equations (34-XX) 6 Abstract harmonic analysis (43-XX) 6 Probability theory and stochastic processes (60-XX) 6 Numerical analysis (65-XX) 6 Optics, electromagnetic theory (78-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Algebraic topology (55-XX) 4 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Relativity and gravitational theory (83-XX) 3 Geophysics (86-XX) 2 Combinatorics (05-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)