Edit Profile (opens in new tab) Van Schaftingen, Jean Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1285.35048Moroz, Vitaly; Van Schaftingen, Jean 337 2013 Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052Moroz, Vitaly; van Schaftingen, Jean 192 2015 A guide to the Choquard equation. Zbl 1360.35252Moroz, Vitaly; Van Schaftingen, Jean 162 2017 Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109Moroz, Vitaly; Van Schaftingen, Jean 105 2015 Semi-classical states for the Choquard equation. Zbl 1309.35029Moroz, Vitaly; van Schaftingen, Jean 91 2015 Nodal solutions for the Choquard equation. Zbl 1345.35046Ghimenti, Marco; Van Schaftingen, Jean 85 2016 Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083Moroz, Vitaly; Van Schaftingen, Jean 42 2013 Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean 41 2009 Desingularization of vortices for the Euler equation. Zbl 1228.35171Smets, Didier; Van Schaftingen, Jean 37 2010 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 36 2008 Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032Van Schaftingen, Jean 36 2013 Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038Moroz, Vitaly; Van Schaftingen, Jean 35 2010 Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069Van Schaftingen, Jean 35 2004 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 34 2010 Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean 34 2017 Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean 32 2016 Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011Ruiz, David; Van Schaftingen, Jean 29 2018 Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094Van Schaftingen, Jean; Xia, Jiankang 25 2018 Anisotropic symmetrization. Zbl 1133.42038Van Schaftingen, Jean 24 2006 Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025Van Schaftingen, Jean; Willem, Michel 23 2008 Choquard equations under confining external potentials. Zbl 1378.35144Van Schaftingen, Jean; Xia, Jiankang 21 2017 Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025Brezis, Haïm; Van Schaftingen, Jean 20 2007 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 20 2017 Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005van Schaftingen, Jean 18 2014 Symmetrization and minimax principles. Zbl 1206.35088Van Schaftingen, Jean 18 2005 Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057Battaglia, Luca; Van Schaftingen, Jean 18 2017 Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034Van Schaftingen, J.; Willem, M. 17 2004 Universal approximation of symmetrizations by polarizations. Zbl 1093.26012van Schaftingen, Jean 16 2006 A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015Van Schaftingen, Jean 16 2004 An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean 16 2017 Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032Van Schaftingen, Jean; Xia, Jiankang 15 2017 Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean 14 2018 Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037Bousquet, Pierre; Van Schaftingen, Jean 14 2014 Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034Van Schaftingen, Jean 14 2008 Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119Chanillo, Sagun; Van Schaftingen, Jean 14 2009 Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012Van Schaftingen, Jean 14 2010 Periodic homogenization of monotone multivalued operators. Zbl 1133.35007Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 12 2007 Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127Bonheure, Denis; van Schaftingen, Jean 12 2006 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 Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005Convent, Alexandra; Van Schaftingen, Jean 12 2016 Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 12 2015 Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052Van Schaftingen, Jean 12 2009 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 Interpolation inequalities between Sobolev and Morrey-Campanato spaces: a common gateway to concentration-compactness and Gagliardo-Nirenberg interpolation inequalities. Zbl 1326.46032Van Schaftingen, Jean 11 2014 Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres. Zbl 1232.35057Bonheure, Denis; Di Cosmo, Jonathan; Van Schaftingen, Jean 11 2012 Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun 11 2020 Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014Van Schaftingen, Jean 10 2006 Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105Brezis, Haïm; van Schaftingen, Jean 10 2008 Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200Di Cosmo, Jonathan; Van Schaftingen, Jean 10 2015 Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083de Valeriola, Sébastien; Van Schaftingen, Jean 10 2013 Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096Battaglia, Luca; Van Schaftingen, Jean 8 2018 Reiterated homogenization for elliptic operators. Zbl 1063.35027Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024Van Schaftingen, Jean 8 2006 Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean 8 2019 Strong approximation of fractional Sobolev maps. Zbl 1310.58006Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 7 2014 Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027Spector, Daniel; van Schaftingen, Jean 7 2019 Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean 5 2017 Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227Moroz, Vitaly; Van Schaftingen, Jean 5 2009 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 Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean 4 2019 Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean 4 2008 Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063Ponce, Augusto C.; Van Schaftingen, Jean 4 2009 Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025Bouchez, Vincent; Van Schaftingen, Jean 4 2011 Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001Van Schaftingen, Jean 4 2014 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 3 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 1338.35325Chanillo, Sagun; van Schaftingen, Jean; Yung, Po-Lam 3 2016 Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002Petrache, Mircea; Van Schaftingen, Jean 3 2017 The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023Ponce, Augusto C.; Van Schaftingen, Jean 3 2007 Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 3 2017 Vortex motion for the lake equations. Zbl 1443.76117Dekeyser, Justin; Van Schaftingen, Jean 3 2020 Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008Convent, Alexandra; Van Schaftingen, Jean 2 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 1390.58008Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 2 2018 Finding critical points whose polarization is also a critical point. Zbl 1283.35023Squassina, Marco; Van Schaftingen, Jean 2 2012 A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 2 2008 Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005Convent, Alexandra; Van Schaftingen, Jean 2 2016 Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 06732257Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam 2 2017 Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008Van Schaftingen, Jean 2 2020 A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013Van Schaftingen, Jean 1 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 1 2011 Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035Monteil, Antonin; Van Schaftingen, Jean 1 2019 Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099Mironescu, Petru; Van Schaftingen, Jean 1 2021 Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam 1 2021 Approximation of symmetrizations by Markov processes. Zbl 1454.60026Van Schaftingen, Jean; Dekeyser, Justin 1 2017 An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 07204747Schikorra, Armin; van Schaftingen, Jean 1 2020 Ginzburg-Landau relaxation for harmonic maps on planar domains into a general compact vacuum manifold. Zbl 1481.35150Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean 1 2021 Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099Mironescu, Petru; Van Schaftingen, Jean 1 2021 Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam 1 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 1 2021 Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun 11 2020 Vortex motion for the lake equations. Zbl 1443.76117Dekeyser, Justin; Van Schaftingen, Jean 3 2020 Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008Van Schaftingen, Jean 2 2020 An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 07204747Schikorra, Armin; 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 8 2019 Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027Spector, Daniel; van Schaftingen, Jean 7 2019 Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean 4 2019 Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008Convent, Alexandra; Van Schaftingen, Jean 2 2019 Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035Monteil, Antonin; Van Schaftingen, Jean 1 2019 Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011Ruiz, David; Van Schaftingen, Jean 29 2018 Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094Van Schaftingen, Jean; Xia, Jiankang 25 2018 Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean 14 2018 Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096Battaglia, Luca; Van Schaftingen, Jean 8 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 162 2017 Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean 34 2017 Choquard equations under confining external potentials. Zbl 1378.35144Van Schaftingen, Jean; Xia, Jiankang 21 2017 The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean 20 2017 Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057Battaglia, Luca; Van Schaftingen, Jean 18 2017 An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean 16 2017 Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032Van Schaftingen, Jean; Xia, Jiankang 15 2017 Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean 5 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 Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002Petrache, Mircea; Van Schaftingen, Jean 3 2017 Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 3 2017 Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 06732257Chanillo, 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 85 2016 Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean 32 2016 Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005Convent, Alexandra; Van Schaftingen, Jean 12 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 192 2015 Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109Moroz, Vitaly; Van Schaftingen, Jean 105 2015 Semi-classical states for the Choquard equation. Zbl 1309.35029Moroz, Vitaly; van Schaftingen, Jean 91 2015 Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean 12 2015 Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200Di Cosmo, Jonathan; Van Schaftingen, Jean 10 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 3 2015 Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005van Schaftingen, Jean 18 2014 Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037Bousquet, Pierre; Van Schaftingen, Jean 14 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 11 2014 Strong approximation of fractional Sobolev maps. Zbl 1310.58006Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean 7 2014 Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001Van Schaftingen, Jean 4 2014 Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048Moroz, Vitaly; Van Schaftingen, Jean 337 2013 Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083Moroz, Vitaly; Van Schaftingen, Jean 42 2013 Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032Van Schaftingen, Jean 36 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 Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083de Valeriola, Sébastien; Van Schaftingen, Jean 10 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 1 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 11 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 4 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 37 2010 Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038Moroz, Vitaly; Van Schaftingen, Jean 35 2010 Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059Bonheure, Denis; Van Schaftingen, Jean 34 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 41 2009 Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119Chanillo, Sagun; Van Schaftingen, Jean 14 2009 Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052Van Schaftingen, Jean 12 2009 Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227Moroz, Vitaly; Van Schaftingen, Jean 5 2009 Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063Ponce, Augusto C.; Van Schaftingen, Jean 4 2009 Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084Bonheure, Denis; van Schaftingen, Jean 36 2008 Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025Van Schaftingen, Jean; Willem, Michel 23 2008 Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034Van Schaftingen, Jean 14 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 2 2008 Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025Brezis, Haïm; Van Schaftingen, Jean 20 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 24 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 12 2006 Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014Van Schaftingen, Jean 10 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 18 2005 Reiterated homogenization for elliptic operators. Zbl 1063.35027Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310Meunier, Nicolas; Van Schaftingen, Jean 8 2005 Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069Van Schaftingen, Jean 35 2004 Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034Van Schaftingen, J.; Willem, M. 17 2004 A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015Van Schaftingen, Jean 16 2004 all cited Publications top 5 cited Publications all top 5 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 all top 5 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. 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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 all top 5 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) Citations by Year