Edit Profile (opens in new tab) Van Schaftingen, Jean Co-Author Distance Author ID: van-schaftingen.jean Published as: Van Schaftingen, Jean; van Schaftingen, Jean; Van Schaftingen, J. more...less Homepage: http://perso.uclouvain.be/jean.vanschaftingen/ External Links: MGP · ORCID · ResearchGate Documents Indexed: 104 Publications since 2004 1 Contribution as Editor Co-Authors: 52 Co-Authors with 85 Joint Publications 1,133 Co-Co-Authors all top 5 Co-Authors 19 single-authored 13 Moroz, Vitaly 9 Ponce, Augusto C. 8 Bonheure, Denis 8 Yung, Polam 7 Bousquet, Pierre 6 Chanillo, Sagun 4 Brézis, Haïm 4 Meunier, Nicolas 3 Convent, Alexandra 3 Dekeyser, Justin 3 Di Cosmo, Jonathan 3 Ghimenti, Marco G. 3 Monteil, Antonin 3 Rodiac, Rémy 3 Willem, Michel 3 Xia, Jiankang 2 Battaglia, Luca 2 Bouchez, Vincent 2 Damlamian, Alain 2 Mercuri, Carlo 2 Mironescu, Petru 2 Schikorra, Armin 2 Seeger, Andreas 2 Spector, Daniel E. 1 Bellazzini, Jacopo 1 Cassani, Daniele 1 Chemin, Alexandre 1 Cingolani, Silvia 1 Cuesta, Mabel 1 De Valeriola, Sébastien 1 Dominguez, Oscar 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 Mazowiecka, Katarzyna Ewa 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 Street, Brian 1 Takáč, Peter 1 Van Vaerenbergh, Benoît 1 Zhang, Jianjun all top 5 Serials 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Calculus of Variations and Partial Differential Equations 6 Journal of Functional Analysis 4 Journal of Differential Equations 4 Proceedings of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 4 Communications in Contemporary Mathematics 3 Archive for Rational Mechanics and Analysis 3 Journal of Mathematical Analysis and Applications 3 Indiana University Mathematics Journal 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 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Topological Methods in Nonlinear Analysis 2 Pure and Applied Functional 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 Mathematische Annalen 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 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 Annales Fennici Mathematici all top 5 Fields 67 Partial differential equations (35-XX) 44 Functional analysis (46-XX) 28 Real functions (26-XX) 23 Global analysis, analysis on manifolds (58-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 8 Operator theory (47-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Fluid mechanics (76-XX) 4 Measure and integration (28-XX) 4 Differential geometry (53-XX) 4 Algebraic topology (55-XX) 3 Abstract harmonic analysis (43-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-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 Difference and functional equations (39-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 96 Publications have been cited 2,642 times in 1,171 Documents Cited by ▼ Year ▼ Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048Moroz, Vitaly; Van Schaftingen, Jean 455 2013 Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052Moroz, Vitaly; van Schaftingen, Jean 263 2015 A guide to the Choquard equation. Zbl 1360.35252Moroz, Vitaly; Van Schaftingen, Jean 240 2017 Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109Moroz, Vitaly; Van Schaftingen, Jean 141 2015 Nodal solutions for the Choquard equation. Zbl 1345.35046Ghimenti, Marco; Van Schaftingen, Jean 125 2016 Semi-classical states for the Choquard equation. Zbl 1309.35029Moroz, Vitaly; van Schaftingen, Jean 116 2015 Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083Moroz, Vitaly; Van Schaftingen, Jean 60 2013 Desingularization of vortices for the Euler equation. Zbl 1228.35171Smets, Didier; Van Schaftingen, Jean 52 2010 Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032Van Schaftingen, Jean 49 2013 Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean 48 2009 Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean 47 2017 Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038Moroz, Vitaly; Van Schaftingen, Jean 44 2010 Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean 41 2016 Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011Ruiz, David; Van Schaftingen, Jean 41 2018 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 38 2010 Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069Van Schaftingen, Jean 38 2004 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 37 2008 Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094Van Schaftingen, Jean; Xia, Jiankang 35 2018 Choquard equations under confining external potentials. Zbl 1378.35144Van Schaftingen, Jean; Xia, Jiankang 31 2017 Anisotropic symmetrization. Zbl 1133.42038Van Schaftingen, Jean 28 2006 Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025Van Schaftingen, Jean; Willem, Michel 26 2008 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 24 2017 Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005van Schaftingen, Jean 22 2014 Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057Battaglia, Luca; Van Schaftingen, Jean 22 2017 An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean 22 2017 Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean 22 2018 Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025Brezis, Haïm; Van Schaftingen, Jean 22 2007 Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun 22 2020 Symmetrization and minimax principles. Zbl 1206.35088Van Schaftingen, Jean 20 2005 Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034Van Schaftingen, J.; Willem, M. 19 2004 Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032Van Schaftingen, Jean; Xia, Jiankang 18 2017 Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037Bousquet, Pierre; Van Schaftingen, Jean 18 2014 A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015Van Schaftingen, Jean 17 2004 Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083de Valeriola, Sébastien; Van Schaftingen, Jean 16 2013 Universal approximation of symmetrizations by polarizations. Zbl 1093.26012van Schaftingen, Jean 16 2006 Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119Chanillo, Sagun; Van Schaftingen, Jean 16 2009 Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005Convent, Alexandra; Van Schaftingen, Jean 15 2016 Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 15 2015 Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034Van Schaftingen, Jean 15 2008 Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200Di Cosmo, Jonathan; Van Schaftingen, Jean 14 2015 Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052Van Schaftingen, Jean 14 2009 Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012Van Schaftingen, Jean 14 2010 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 13 2019 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127Bonheure, Denis; van Schaftingen, Jean 13 2006 Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032Van Schaftingen, Jean 12 2014 Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096Battaglia, Luca; Van Schaftingen, Jean 12 2018 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean 12 2008 Periodic homogenization of monotone multivalued operators. Zbl 1133.35007Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 12 2007 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 12 2012 Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014Van Schaftingen, Jean 12 2006 Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam 12 2021 Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 11 2013 Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105Brezis, Haïm; van Schaftingen, Jean 10 2008 Strong approximation of fractional Sobolev maps. Zbl 1310.58006Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 10 2014 Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310Meunier, Nicolas; Van Schaftingen, Jean 9 2005 Reiterated homogenization for elliptic operators. Zbl 1063.35027Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027Spector, Daniel; van Schaftingen, Jean 8 2019 Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024Van Schaftingen, Jean 8 2006 Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean 6 2017 Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063Ponce, Augusto C.; Van Schaftingen, Jean 6 2009 Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean 6 2019 Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001Van Schaftingen, Jean 5 2014 Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213Di Cosmo, Jonathan; Van Schaftingen, Jean 5 2013 Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039Moroz, Vitaly; Van Schaftingen, Jean 5 2012 Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227Moroz, Vitaly; Van Schaftingen, Jean 5 2009 Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025Bouchez, Vincent; Van Schaftingen, Jean 5 2011 Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008Van Schaftingen, Jean 5 2020 Vortex motion for the lake equations. Zbl 1443.76117Dekeyser, Justin; Van Schaftingen, Jean 5 2020 Sobolev spaces revisited. Zbl 1509.46021Brezis, Haïm; Seeger, Andreas; van Schaftingen, Jean; Yung, Po-Lam 5 2022 Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean 5 2021 Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam 4 2017 Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120Moroz, Vitaly; van Schaftingen, Jean 4 2015 Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 4 2017 Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 4 2008 Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002Petrache, Mircea; Van Schaftingen, Jean 4 2017 Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035Monteil, Antonin; Van Schaftingen, Jean 4 2019 Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean 4 2022 An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020Schikorra, Armin; van Schaftingen, Jean 4 2020 Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099Mironescu, Petru; Van Schaftingen, Jean 4 2021 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 1338.35325Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam 3 2016 A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 3 2008 The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023Ponce, Augusto C.; Van Schaftingen, Jean 3 2007 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 1390.58008Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 2 2018 Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005Convent, Alexandra; Van Schaftingen, Jean 2 2016 A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013Van Schaftingen, Jean 2 2013 Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam 2 2017 Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008Convent, Alexandra; Van Schaftingen, Jean 2 2019 On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054Gmeineder, Franz; Raită, Bogdan; Van Schaftingen, Jean 2 2021 Finding critical points whose polarization is also a critical point. Zbl 1283.35023Squassina, Marco; Van Schaftingen, Jean 2 2012 Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040Mironescu, Petru; Van Schaftingen, Jean 2 2021 Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Zbl 1214.35002 1 2011 Approximation of symmetrizations by Markov processes. Zbl 1454.60026Van Schaftingen, Jean; Dekeyser, Justin 1 2017 Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059Rodiac, Rémy; van Schaftingen, Jean 1 2021 Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023van Schaftingen, Jean; Yung, Po-Lam 1 2022 Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005Dekeyser, Justin; Van Schaftingen, Jean 1 2020 Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024Domínguez, Óscar; Seeger, Andreas; Street, Brian; Van Schaftingen, Jean; Yung, Po-Lam 1 2023 Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024Domínguez, Óscar; Seeger, Andreas; Street, Brian; Van Schaftingen, Jean; Yung, Po-Lam 1 2023 Sobolev spaces revisited. Zbl 1509.46021Brezis, Haïm; Seeger, Andreas; van Schaftingen, Jean; Yung, Po-Lam 5 2022 Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean 4 2022 Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023van Schaftingen, Jean; Yung, Po-Lam 1 2022 Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam 12 2021 Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean 5 2021 Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099Mironescu, Petru; Van Schaftingen, Jean 4 2021 On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054Gmeineder, Franz; Raită, Bogdan; Van Schaftingen, Jean 2 2021 Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040Mironescu, Petru; Van Schaftingen, Jean 2 2021 Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059Rodiac, Rémy; van Schaftingen, Jean 1 2021 Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun 22 2020 Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008Van Schaftingen, Jean 5 2020 Vortex motion for the lake equations. Zbl 1443.76117Dekeyser, Justin; Van Schaftingen, Jean 5 2020 An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020Schikorra, Armin; van Schaftingen, Jean 4 2020 Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005Dekeyser, Justin; Van Schaftingen, Jean 1 2020 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 13 2019 Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027Spector, Daniel; van Schaftingen, Jean 8 2019 Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean 6 2019 Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035Monteil, Antonin; Van Schaftingen, Jean 4 2019 Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008Convent, Alexandra; Van Schaftingen, Jean 2 2019 Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011Ruiz, David; Van Schaftingen, Jean 41 2018 Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094Van Schaftingen, Jean; Xia, Jiankang 35 2018 Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean 22 2018 Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096Battaglia, Luca; Van Schaftingen, Jean 12 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 1390.58008Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 2 2018 A guide to the Choquard equation. Zbl 1360.35252Moroz, Vitaly; Van Schaftingen, Jean 240 2017 Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean 47 2017 Choquard equations under confining external potentials. Zbl 1378.35144Van Schaftingen, Jean; Xia, Jiankang 31 2017 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 24 2017 Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057Battaglia, Luca; Van Schaftingen, Jean 22 2017 An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean 22 2017 Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032Van Schaftingen, Jean; Xia, Jiankang 18 2017 Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean 6 2017 Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam 4 2017 Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 4 2017 Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002Petrache, Mircea; Van Schaftingen, Jean 4 2017 Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam 2 2017 Approximation of symmetrizations by Markov processes. Zbl 1454.60026Van Schaftingen, Jean; Dekeyser, Justin 1 2017 Nodal solutions for the Choquard equation. Zbl 1345.35046Ghimenti, Marco; Van Schaftingen, Jean 125 2016 Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean 41 2016 Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005Convent, Alexandra; Van Schaftingen, Jean 15 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 1338.35325Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam 3 2016 Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005Convent, Alexandra; Van Schaftingen, Jean 2 2016 Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052Moroz, Vitaly; van Schaftingen, Jean 263 2015 Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109Moroz, Vitaly; Van Schaftingen, Jean 141 2015 Semi-classical states for the Choquard equation. Zbl 1309.35029Moroz, Vitaly; van Schaftingen, Jean 116 2015 Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 15 2015 Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200Di Cosmo, Jonathan; Van Schaftingen, Jean 14 2015 Existence, stability and oscillation properties of slow-decay positive solutions of supercritical elliptic equations with Hardy potential. Zbl 1310.35120Moroz, Vitaly; van Schaftingen, Jean 4 2015 Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005van Schaftingen, Jean 22 2014 Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037Bousquet, Pierre; Van Schaftingen, Jean 18 2014 Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032Van Schaftingen, Jean 12 2014 Strong approximation of fractional Sobolev maps. Zbl 1310.58006Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 10 2014 Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001Van Schaftingen, Jean 5 2014 Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048Moroz, Vitaly; Van Schaftingen, Jean 455 2013 Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083Moroz, Vitaly; Van Schaftingen, Jean 60 2013 Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032Van Schaftingen, Jean 49 2013 Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083de Valeriola, Sébastien; Van Schaftingen, Jean 16 2013 Density of smooth maps for fractional Sobolev spaces \(W^{s, p}\) into \(\ell\) simply connected manifolds when \(s \geq 1\). Zbl 1314.58005Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 11 2013 Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima. Zbl 1264.35213Di Cosmo, Jonathan; Van Schaftingen, Jean 5 2013 A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013Van Schaftingen, Jean 2 2013 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 12 2012 Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039Moroz, Vitaly; Van Schaftingen, Jean 5 2012 Finding critical points whose polarization is also a critical point. Zbl 1283.35023Squassina, Marco; Van Schaftingen, Jean 2 2012 Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025Bouchez, Vincent; Van Schaftingen, Jean 5 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 1 2011 Desingularization of vortices for the Euler equation. Zbl 1228.35171Smets, Didier; Van Schaftingen, Jean 52 2010 Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038Moroz, Vitaly; Van Schaftingen, Jean 44 2010 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 38 2010 Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012Van Schaftingen, Jean 14 2010 Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean 48 2009 Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119Chanillo, Sagun; Van Schaftingen, Jean 16 2009 Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052Van Schaftingen, Jean 14 2009 Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063Ponce, Augusto C.; Van Schaftingen, Jean 6 2009 Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227Moroz, Vitaly; Van Schaftingen, Jean 5 2009 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 37 2008 Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025Van Schaftingen, Jean; Willem, Michel 26 2008 Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034Van Schaftingen, Jean 15 2008 Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth. Zbl 1156.35037Bonheure, Denis; Bouchez, Vincent; Grumiau, Christopher; van Schaftingen, Jean 12 2008 Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105Brezis, Haïm; van Schaftingen, Jean 10 2008 Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 4 2008 A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 3 2008 Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025Brezis, Haïm; Van Schaftingen, Jean 22 2007 Periodic homogenization of monotone multivalued operators. Zbl 1133.35007Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 12 2007 The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023Ponce, Augusto C.; Van Schaftingen, Jean 3 2007 Anisotropic symmetrization. Zbl 1133.42038Van Schaftingen, Jean 28 2006 Universal approximation of symmetrizations by polarizations. Zbl 1093.26012van Schaftingen, Jean 16 2006 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127Bonheure, Denis; van Schaftingen, Jean 13 2006 Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014Van Schaftingen, Jean 12 2006 Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024Van Schaftingen, Jean 8 2006 Symmetrization and minimax principles. Zbl 1206.35088Van Schaftingen, Jean 20 2005 Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310Meunier, Nicolas; Van Schaftingen, Jean 9 2005 Reiterated homogenization for elliptic operators. Zbl 1063.35027Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069Van Schaftingen, Jean 38 2004 Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034Van Schaftingen, J.; Willem, M. 19 2004 A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015Van Schaftingen, Jean 17 2004 all cited Publications top 5 cited Publications all top 5 Cited by 1,119 Authors 67 Van Schaftingen, Jean 35 Yang, Minbo 29 Cao, Daomin 20 Tang, Xianhua 18 Squassina, Marco 17 Alves, Claudianor Oliveira 17 Bonheure, Denis 17 Gao, Fashun 17 Tang, Chun-Lei 16 Sreenadh, Konijeti 15 Chen, Haibo 15 Moroz, Vitaly 14 Li, Guidong 14 Rădulescu, Vicenţiu D. 14 Zhang, Binlin 13 Cingolani, Silvia 13 Wang, Guodong 13 Wang, Jun 12 Zhang, Jianjun 11 Mingione, Giuseppe 11 Xia, Jiankang 11 Yung, Polam 10 Chen, Sitong 10 Cianchi, Andrea 10 Figueiredo, Giovany Malcher 10 Li, Quanqing 10 Li, Yongyong 10 Liang, Sihua 10 Mukherjee, Tuhina 10 Peng, Shuangjie 10 Saanouni, Tarek 10 Spector, Daniel E. 9 Brézis, Haïm 9 Chen, Jianqing 9 Dai, Wei 9 Ghergu, Marius 9 Gmeineder, Franz 9 Liu, Senli 9 Qin, Guolin 9 Stolyarov, Dmitry M. 9 Zhang, Fubao 8 d’Avenia, Pietro 8 Li, Xinfu 8 Miyagaki, Olimpio Hiroshi 8 Ponce, Augusto C. 8 Raită, Bogdan 8 Schikorra, Armin 8 Shen, Zifei 8 Wan, Jie 8 Wang, Zhi-Qiang 8 Zhang, Jian 8 Zhang, Xu 7 Bousquet, Pierre 7 Giacomoni, Jacques 7 Goel, Divya 7 Guo, Hui 7 Lü, Dengfeng 7 Ma, Shiwang 7 Orlandi, Giandomenico 7 Su, Yu 7 Tanaka, Kazunaga 7 Wang, Tao 7 Wu, Tsungfang 7 Yang, Jianfu 7 Yuan, Shuai 7 Zhan, Weicheng 6 Ambrosio, Vincenzo 6 Baldi, Annalisa 6 Bueno, Hamilton P. 6 Canevari, Giacomo 6 Cassani, Daniele 6 Deng, Yinbin 6 Franchi, Bruno 6 Ghimenti, Marco G. 6 He, Xiaoming 6 Kuusi, Tuomo 6 Luo, Xiao 6 Mercuri, Carlo 6 Nguyen, Hoai-Minh 6 Picon, Tiago Henrique 6 Qin, Dongdong 6 Rivière, Tristan 6 Song, Yueqiang 6 Teng, Kaimin 6 Wang, Wenbo 6 Weth, Tobias 6 Xiang, Mingqi 6 Zhang, Hui 6 Zhang, Jihui 6 Zhang, Qian 6 Zhao, Peihao 5 Alberico, Angela 5 An, Xiaoming 5 Chanillo, Sagun 5 Chen, Shaowei 5 Da Lio, Francesca 5 Feng, Binhua 5 Feng, Zhaosheng 5 Grumiau, Christopher 5 Jeanjean, Louis ...and 1,019 more Authors all top 5 Cited in 182 Serials 79 Journal of Mathematical Analysis and Applications 69 Journal of Differential Equations 63 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 63 Calculus of Variations and Partial Differential Equations 37 Journal of Functional Analysis 36 Journal of Mathematical Physics 27 Advances in Nonlinear Analysis 25 The Journal of Geometric Analysis 25 Communications on Pure and Applied Analysis 24 Applied Mathematics Letters 24 Discrete and Continuous Dynamical Systems 24 Complex Variables and Elliptic Equations 23 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Boundary Value Problems 20 Topological Methods in Nonlinear Analysis 20 Communications in Contemporary Mathematics 20 Advanced Nonlinear Studies 19 Archive for Rational Mechanics and Analysis 18 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 NoDEA. Nonlinear Differential Equations and Applications 15 Journal de Mathématiques Pures et Appliquées. Neuvième Série 14 Applicable Analysis 14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 13 Journal of Fixed Point Theory and Applications 12 Nonlinearity 12 Mathematische Nachrichten 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Proceedings of the American Mathematical Society 11 SIAM Journal on Mathematical Analysis 10 Transactions of the American Mathematical Society 10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 10 Acta Mathematica Scientia. Series B. (English Edition) 9 Computers & Mathematics with Applications 9 Communications in Mathematical Physics 9 Advances in Mathematics 9 Nonlinear Analysis. Real World Applications 9 Mediterranean Journal of Mathematics 8 Mathematische Annalen 8 Electronic Journal of Differential Equations (EJDE) 7 Journal of the European Mathematical Society (JEMS) 7 Discrete and Continuous Dynamical Systems. Series S 7 Advances in Calculus of Variations 7 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 7 Analysis and Mathematical Physics 6 Acta Applicandae Mathematicae 6 Revista Matemática Iberoamericana 6 Asymptotic Analysis 6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Milan Journal of Mathematics 5 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Mathematical Physics 5 Science China. Mathematics 5 SN Partial Differential Equations and Applications 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Opuscula Mathematica 4 Acta Mathematica Sinica. English Series 4 Open Mathematics 4 AIMS Mathematics 3 Indian Journal of Pure & Applied Mathematics 3 Journal d’Analyse Mathématique 3 Applied Mathematics and Optimization 3 Inventiones Mathematicae 3 Manuscripta Mathematica 3 Mathematische Zeitschrift 3 Pacific Journal of Mathematics 3 Proceedings of the Edinburgh Mathematical Society. Series II 3 Results in Mathematics 3 Advances in Applied Mathematics 3 Chinese Annals of Mathematics. Series B 3 Bulletin of the Iranian Mathematical Society 3 Communications in Partial Differential Equations 3 Potential Analysis 3 Journal of Mathematical Sciences (New York) 3 Fractional Calculus & Applied Analysis 3 Journal of Mathematical Fluid Mechanics 3 Qualitative Theory of Dynamical Systems 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Function Spaces 3 Mathematics in Engineering 3 Electronic Research Archive 2 Mathematical Methods in the Applied Sciences 2 Applied Mathematics and Computation 2 Archiv der Mathematik 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Indiana University Mathematics Journal 2 Journal of the London Mathematical Society. Second Series 2 Monatshefte für Mathematik 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ricerche di Matematica 2 Physica D 2 Acta Mathematicae Applicatae Sinica. English Series 2 International Journal of Mathematics 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Geometric and Functional Analysis. GAFA 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational and Applied Mathematics 2 Advances in Differential Equations 2 Journal of Dynamical and Control Systems ...and 82 more Serials all top 5 Cited in 44 Fields 991 Partial differential equations (35-XX) 144 Functional analysis (46-XX) 98 Calculus of variations and optimal control; optimization (49-XX) 86 Global analysis, analysis on manifolds (58-XX) 85 Real functions (26-XX) 59 Fluid mechanics (76-XX) 43 Operator theory (47-XX) 41 Quantum theory (81-XX) 32 Harmonic analysis on Euclidean spaces (42-XX) 32 Differential geometry (53-XX) 25 Mechanics of deformable solids (74-XX) 19 Measure and integration (28-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Integral equations (45-XX) 14 Convex and discrete geometry (52-XX) 12 Potential theory (31-XX) 10 Ordinary differential equations (34-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Abstract harmonic analysis (43-XX) 8 Algebraic topology (55-XX) 8 Probability theory and stochastic processes (60-XX) 7 Functions of a complex variable (30-XX) 7 Optics, electromagnetic theory (78-XX) 6 Numerical analysis (65-XX) 5 Geophysics (86-XX) 4 Difference and functional equations (39-XX) 4 Biology and other natural sciences (92-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Relativity and gravitational theory (83-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-XX) 2 Manifolds and cell complexes (57-XX) 2 Astronomy and astrophysics (85-XX) 2 Systems theory; control (93-XX) 1 Field theory and polynomials (12-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Statistics (62-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) Citations by Year