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Van Schaftingen, Jean

Author ID: van-schaftingen.jean Recent zbMATH articles by "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
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 Advances in Mathematics
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 Analysis & PDE
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 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 Confluentes Mathematici
1 Annals of the University of Bucharest. Mathematical Series
1 Advances in Nonlinear Analysis
1 Annales Fennici Mathematici

Publications by Year

Citations contained in zbMATH Open

97 Publications have been cited 3,204 times in 1,410 Documents Cited by Year
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048
Moroz, Vitaly; Van Schaftingen, Jean
559
2013
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052
Moroz, Vitaly; van Schaftingen, Jean
328
2015
A guide to the Choquard equation. Zbl 1360.35252
Moroz, Vitaly; Van Schaftingen, Jean
306
2017
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109
Moroz, Vitaly; Van Schaftingen, Jean
167
2015
Nodal solutions for the Choquard equation. Zbl 1345.35046
Ghimenti, Marco; Van Schaftingen, Jean
148
2016
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
138
2015
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083
Moroz, Vitaly; Van Schaftingen, Jean
68
2013
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032
Van Schaftingen, Jean
64
2013
Desingularization of vortices for the Euler equation. Zbl 1228.35171
Smets, Didier; Van Schaftingen, Jean
63
2010
Groundstates and radial solutions to nonlinear Schrödinger-Poisson-Slater equations at the critical frequency. Zbl 1406.35365
Mercuri, Carlo; Moroz, Vitaly; Van Schaftingen, Jean
59
2016
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079
Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean
54
2017
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055
Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean
53
2009
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011
Ruiz, David; Van Schaftingen, Jean
50
2018
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038
Moroz, Vitaly; Van Schaftingen, Jean
46
2010
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
43
2010
Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069
Van Schaftingen, Jean
42
2004
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
41
2008
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094
Van Schaftingen, Jean; Xia, Jiankang
40
2018
Choquard equations under confining external potentials. Zbl 1378.35144
Van Schaftingen, Jean; Xia, Jiankang
34
2017
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023
Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean
33
2018
Anisotropic symmetrization. Zbl 1133.42038
Van Schaftingen, Jean
32
2006
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
31
2020
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
30
2017
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
30
2017
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
29
2017
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005
van Schaftingen, Jean
26
2014
Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025
Brezis, Haïm; Van Schaftingen, Jean
26
2007
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025
Van Schaftingen, Jean; Willem, Michel
26
2008
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037
Bousquet, Pierre; Van Schaftingen, Jean
23
2014
Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034
Van Schaftingen, J.; Willem, M.
22
2004
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
22
2021
Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034
Van Schaftingen, Jean
22
2008
A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015
Van Schaftingen, Jean
21
2004
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083
de Valeriola, Sébastien; Van Schaftingen, Jean
21
2013
Symmetrization and minimax principles. Zbl 1206.35088
Van Schaftingen, Jean
20
2005
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012
van Schaftingen, Jean
19
2006
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012
Van Schaftingen, Jean
19
2010
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032
Van Schaftingen, Jean; Xia, Jiankang
19
2017
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200
Di Cosmo, Jonathan; Van Schaftingen, Jean
18
2015
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005
Convent, Alexandra; Van Schaftingen, Jean
18
2016
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119
Chanillo, Sagun; Van Schaftingen, Jean
17
2009
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052
Van Schaftingen, Jean
16
2009
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
15
2015
Properties of ground states of nonlinear Schrödinger equations under a weak constant magnetic field. Zbl 1416.35088
Bonheure, Denis; Nys, Manon; Van Schaftingen, Jean
15
2019
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
14
2006
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
14
2018
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
13
2014
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
13
2007
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
13
2019
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014
Van Schaftingen, Jean
13
2006
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
12
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
12
2012
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
12
2008
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
11
2014
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105
Brezis, Haïm; van Schaftingen, Jean
11
2008
Sobolev spaces revisited. Zbl 1509.46021
Brezis, Haïm; Seeger, Andreas; van Schaftingen, Jean; Yung, Po-Lam
11
2022
On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054
Gmeineder, Franz; Raită, Bogdan; Van Schaftingen, Jean
11
2021
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310
Meunier, Nicolas; Van Schaftingen, Jean
10
2005
Vortex motion for the lake equations. Zbl 1443.76117
Dekeyser, Justin; Van Schaftingen, Jean
10
2020
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024
Van Schaftingen, Jean
9
2006
Reiterated homogenization for elliptic operators. Zbl 1063.35027
Meunier, Nicolas; Van Schaftingen, Jean
8
2005
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean
7
2009
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031
Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean
7
2019
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364
Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean
7
2017
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039
Moroz, Vitaly; Van Schaftingen, Jean
6
2012
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001
Van Schaftingen, Jean
5
2014
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025
Bouchez, Vincent; Van Schaftingen, Jean
5
2011
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227
Moroz, Vitaly; Van Schaftingen, Jean
5
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
5
2013
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024
Domínguez, Óscar; Seeger, Andreas; Street, Brian; Van Schaftingen, Jean; Yung, Po-Lam
5
2023
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
5
2017
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008
Van Schaftingen, Jean
5
2020
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
5
2022
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
5
2021
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
4
2015
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020
Schikorra, Armin; van Schaftingen, Jean
4
2020
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
4
2008
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099
Mironescu, Petru; Van Schaftingen, Jean
4
2021
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002
Petrache, Mircea; Van Schaftingen, Jean
4
2017
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
4
2017
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035
Monteil, Antonin; Van Schaftingen, Jean
4
2019
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean
3
2007
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
3
2008
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
3
2017
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
3
2016
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008
Convent, Alexandra; Van Schaftingen, Jean
3
2019
Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040
Mironescu, Petru; Van Schaftingen, Jean
3
2021
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013
Van Schaftingen, Jean
2
2013
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005
Convent, Alexandra; Van Schaftingen, Jean
2
2016
Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005
Dekeyser, Justin; Van Schaftingen, Jean
2
2020
Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023
van Schaftingen, Jean; Yung, Po-Lam
2
2022
Finding critical points whose polarization is also a critical point. Zbl 1283.35023
Squassina, Marco; Van Schaftingen, Jean
2
2012
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
2
2018
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
Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059
Rodiac, Rémy; van Schaftingen, Jean
1
2021
Reverse superposition estimates in Sobolev spaces. Zbl 1500.46028
Van Schaftingen, Jean
1
2022
Approximation of symmetrizations by Markov processes. Zbl 1454.60026
Van Schaftingen, Jean; Dekeyser, Justin
1
2017
Spaces of Besov-Sobolev type and a problem on nonlinear approximation. Zbl 1517.46024
Domínguez, Óscar; Seeger, Andreas; Street, Brian; Van Schaftingen, Jean; Yung, Po-Lam
5
2023
Sobolev spaces revisited. Zbl 1509.46021
Brezis, Haïm; Seeger, Andreas; van Schaftingen, Jean; Yung, Po-Lam
11
2022
Renormalised energies and renormalisable singular harmonic maps into a compact manifold on planar domains. Zbl 1494.58005
Monteil, Antonin; Rodiac, Rémy; Van Schaftingen, Jean
5
2022
Limiting Sobolev and Hardy inequalities on stratified homogeneous groups. Zbl 1496.35023
van Schaftingen, Jean; Yung, Po-Lam
2
2022
Reverse superposition estimates in Sobolev spaces. Zbl 1500.46028
Van Schaftingen, Jean
1
2022
Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail. Zbl 1471.35008
Brezis, Haïm; Van Schaftingen, Jean; Yung, Po-Lam
22
2021
On limiting trace inequalities for vectorial differential operators. Zbl 1493.46054
Gmeineder, Franz; Raită, Bogdan; Van Schaftingen, Jean
11
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
5
2021
Trace theory for Sobolev mappings into a manifold. Zbl 1482.46099
Mironescu, Petru; Van Schaftingen, Jean
4
2021
Lifting in compact covering spaces for fractional Sobolev mappings. Zbl 1486.46040
Mironescu, Petru; Van Schaftingen, Jean
3
2021
Metric characterization of the sum of fractional Sobolev spaces. Zbl 1470.46059
Rodiac, Rémy; van Schaftingen, Jean
1
2021
Groundstates for Choquard type equations with Hardy-Littlewood-Sobolev lower critical exponent. Zbl 1437.35329
Cassani, Daniele; Van Schaftingen, Jean; Zhang, Jianjun
31
2020
Vortex motion for the lake equations. Zbl 1443.76117
Dekeyser, Justin; Van Schaftingen, Jean
10
2020
Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps. Zbl 1437.58008
Van Schaftingen, Jean
5
2020
An estimate of the Hopf degree of fractional Sobolev mappings. Zbl 1487.55020
Schikorra, Armin; van Schaftingen, Jean
4
2020
Range convergence monotonicity for vector measures and range monotonicity of the mass. Zbl 1443.28005
Dekeyser, Justin; Van Schaftingen, Jean
2
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
15
2019
Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo’s lemma. Zbl 1442.46027
Spector, Daniel; van Schaftingen, Jean
13
2019
Representing three-dimensional cross fields using fourth order tensors. Zbl 1448.15031
Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean
7
2019
Uniform boundedness principles for Sobolev maps into manifolds. Zbl 1418.46035
Monteil, Antonin; Van Schaftingen, Jean
4
2019
Higher order intrinsic weak differentiability and Sobolev spaces between manifolds. Zbl 1417.58008
Convent, Alexandra; Van Schaftingen, Jean
3
2019
Odd symmetry of least energy nodal solutions for the Choquard equation. Zbl 1377.35011
Ruiz, David; Van Schaftingen, Jean
50
2018
Groundstates for a local nonlinear perturbation of the Choquard equations with lower critical exponent. Zbl 1398.35094
Van Schaftingen, Jean; Xia, Jiankang
40
2018
Sharp Gagliardo-Nirenberg inequalities in fractional Coulomb-Sobolev spaces. Zbl 1406.46023
Bellazzini, Jacopo; Ghimenti, Marco; Mercuri, Carlo; Moroz, Vitaly; van Schaftingen, Jean
33
2018
Groundstates of the Choquard equations with a sign-changing self-interaction potential. Zbl 1395.35096
Battaglia, Luca; Van Schaftingen, Jean
14
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
2
2018
A guide to the Choquard equation. Zbl 1360.35252
Moroz, Vitaly; Van Schaftingen, Jean
306
2017
Least action nodal solutions for the quadratic Choquard equation. Zbl 1355.35079
Ghimenti, Marco; Moroz, Vitaly; van Schaftingen, Jean
54
2017
Choquard equations under confining external potentials. Zbl 1378.35144
Van Schaftingen, Jean; Xia, Jiankang
34
2017
An \(L^1\)-type estimate for Riesz potentials. Zbl 1375.47039
Schikorra, Armin; Spector, Daniel; van Schaftingen, Jean
30
2017
Existence of groundstates for a class of nonlinear Choquard equations in the plane. Zbl 1381.35057
Battaglia, Luca; Van Schaftingen, Jean
30
2017
The logarithmic Choquard equation: sharp asymptotics and nondegeneracy of the groundstate. Zbl 1386.35052
Bonheure, Denis; Cingolani, Silvia; Van Schaftingen, Jean
29
2017
Standing waves with a critical frequency for nonlinear Choquard equations. Zbl 1370.35032
Van Schaftingen, Jean; Xia, Jiankang
19
2017
Semiclassical Sobolev constants for the electro-magnetic Robin Laplacian. Zbl 1386.35364
Fournais, Søren; Le Treust, Loïc; Raymond, Nicolas; van Schaftingen, Jean
7
2017
Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem. Zbl 1367.35012
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
5
2017
Controlled singular extension of critical trace Sobolev maps from spheres to compact manifolds. Zbl 1405.58002
Petrache, Mircea; Van Schaftingen, Jean
4
2017
Density of bounded maps in Sobolev spaces into complete manifolds. Zbl 1380.58007
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
4
2017
Bourgain-Brezis inequalities on symmetric spaces of non-compact type. Zbl 1515.35021
Chanillo, Sagun; Van Schaftingen, Jean; Yung, Po-Lam
3
2017
Approximation of symmetrizations by Markov processes. Zbl 1454.60026
Van Schaftingen, Jean; Dekeyser, Justin
1
2017
Nodal solutions for the Choquard equation. Zbl 1345.35046
Ghimenti, Marco; Van Schaftingen, Jean
148
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
59
2016
Intrinsic co-local weak derivatives and Sobolev spaces between manifolds. Zbl 1343.58005
Convent, Alexandra; Van Schaftingen, Jean
18
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
3
2016
Geometric partial differentiability on manifolds: the tangential derivative and the chain rule. Zbl 1334.58005
Convent, Alexandra; Van Schaftingen, Jean
2
2016
Existence of groundstates for a class of nonlinear Choquard equations. Zbl 1325.35052
Moroz, Vitaly; van Schaftingen, Jean
328
2015
Groundstates of nonlinear Choquard equations: Hardy-Littlewood-Sobolev critical exponent. Zbl 1326.35109
Moroz, Vitaly; Van Schaftingen, Jean
167
2015
Semi-classical states for the Choquard equation. Zbl 1309.35029
Moroz, Vitaly; van Schaftingen, Jean
138
2015
Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field. Zbl 1315.35200
Di Cosmo, Jonathan; Van Schaftingen, Jean
18
2015
Strong density for higher order Sobolev spaces into compact manifolds. Zbl 1318.58006
Bousquet, Pierre; Ponce, Augusto C.; Van Schaftingen, Jean
15
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
4
2015
Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations. Zbl 1311.35005
van Schaftingen, Jean
26
2014
Hardy-Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1325.46037
Bousquet, Pierre; Van Schaftingen, Jean
23
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
13
2014
Strong approximation of fractional Sobolev maps. Zbl 1310.58006
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
11
2014
Approximation in Sobolev spaces by piecewise affine interpolation. Zbl 1354.41001
Van Schaftingen, Jean
5
2014
Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics. Zbl 1285.35048
Moroz, Vitaly; Van Schaftingen, Jean
559
2013
Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains. Zbl 1266.35083
Moroz, Vitaly; Van Schaftingen, Jean
68
2013
Limiting Sobolev inequalities for vector fields and canceling linear differential operators. Zbl 1284.46032
Van Schaftingen, Jean
64
2013
Desingularization of vortex rings and shallow water vortices by a semilinear elliptic problem. Zbl 1294.35083
de Valeriola, Sébastien; Van Schaftingen, Jean
21
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
12
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
5
2013
A direct proof of the existence of eigenvalues and eigenvectors by Weierstrass’s theorem. Zbl 1288.15013
Van Schaftingen, Jean
2
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
12
2012
Nonlocal Hardy type inequalities with optimal constants and remainder terms. Zbl 1274.26039
Moroz, Vitaly; Van Schaftingen, Jean
6
2012
Finding critical points whose polarization is also a critical point. Zbl 1283.35023
Squassina, Marco; Van Schaftingen, Jean
2
2012
Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation. Zbl 1236.46025
Bouchez, 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 1228.35171
Smets, Didier; Van Schaftingen, Jean
63
2010
Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1186.35038
Moroz, Vitaly; Van Schaftingen, Jean
46
2010
Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity. Zbl 1189.35059
Bonheure, Denis; Van Schaftingen, Jean
43
2010
Limiting fractional and Lorentz space estimates of differential forms. Zbl 1184.35012
Van Schaftingen, Jean
19
2010
Pathological solutions to elliptic problems in divergence form with continuous coefficients. Zbl 1198.35055
Jin, Tianling; Maz’ya, Vladimir; Van Schaftingen, Jean
53
2009
Subelliptic Bourgain-Brezis estimates on groups. Zbl 1184.35119
Chanillo, Sagun; Van Schaftingen, Jean
17
2009
Explicit approximation of the symmetric rearrangement by polarizations. Zbl 1177.26052
Van Schaftingen, Jean
16
2009
Closure of smooth maps in \(W^{1,p}(B^3;S^2)\). Zbl 1240.46063
Ponce, Augusto C.; Van Schaftingen, Jean
7
2009
Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials. Zbl 1177.35227
Moroz, Vitaly; Van Schaftingen, Jean
5
2009
Bound state solutions for a class of nonlinear Schrödinger equations. Zbl 1156.35084
Bonheure, Denis; van Schaftingen, Jean
41
2008
Symmetry of solutions of semilinear elliptic problems. Zbl 1148.35025
Van Schaftingen, Jean; Willem, Michel
26
2008
Estimates for \(L^{1}\)-vector fields under higher-order differential conditions. Zbl 1228.46034
Van Schaftingen, Jean
22
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
12
2008
Circulation integrals and critical Sobolev spaces: problems of optimal constants. Zbl 1179.35105
Brezis, Haïm; van Schaftingen, Jean
11
2008
Periodic homogenization for convex functionals using Mosco convergence. Zbl 1232.35015
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
4
2008
A case of density in \(W^{2,p}(M;N)\). Zbl 1156.46010
Bousquet, Pierre; Ponce, Augusto C.; van Schaftingen, Jean
3
2008
Boundary estimates for elliptic systems with \(L^{1}\)- data. Zbl 1149.35025
Brezis, Haïm; Van Schaftingen, Jean
26
2007
Periodic homogenization of monotone multivalued operators. Zbl 1133.35007
Damlamian, Alain; Meunier, Nicolas; Van Schaftingen, Jean
13
2007
The continuity of functions with \(N\)-th derivative measure. Zbl 1137.46023
Ponce, Augusto C.; Van Schaftingen, Jean
3
2007
Anisotropic symmetrization. Zbl 1133.42038
Van Schaftingen, Jean
32
2006
Universal approximation of symmetrizations by polarizations. Zbl 1093.26012
van Schaftingen, Jean
19
2006
Nonlinear Schrödinger equations with potentials vanishing at infinity. Zbl 1099.35127
Bonheure, Denis; van Schaftingen, Jean
14
2006
Approximation of symmetrizations and symmetry of critical points. Zbl 1110.28014
Van Schaftingen, Jean
13
2006
Function spaces between BMO and critical Sobolev spaces. Zbl 1110.46024
Van Schaftingen, Jean
9
2006
Symmetrization and minimax principles. Zbl 1206.35088
Van Schaftingen, Jean
20
2005
Periodic reiterated homogenization for elliptic functions. Zbl 1159.35310
Meunier, Nicolas; Van Schaftingen, Jean
10
2005
Reiterated homogenization for elliptic operators. Zbl 1063.35027
Meunier, Nicolas; Van Schaftingen, Jean
8
2005
Estimates for \(L^{1}\)-vector fields. Zbl 1049.35069
Van Schaftingen, Jean
42
2004
Set transformations, symmetrizations and isoperimetric inequalities. Zbl 1453.26034
Van Schaftingen, J.; Willem, M.
22
2004
A simple proof of an inequality of Bourgain, Brezis and Mironescu. Zbl 1188.26015
Van Schaftingen, Jean
21
2004
all top 5

Cited by 1,307 Authors

70 Van Schaftingen, Jean
37 Yang, Minbo
34 Cao, Daomin
26 Tang, Xianhua
22 Sreenadh, Konijeti
21 Tang, Chun-Lei
19 Chen, Haibo
19 Gao, Fashun
18 Alves, Claudianor Oliveira
18 Squassina, Marco
18 Zhang, Binlin
17 Bonheure, Denis
17 Moroz, Vitaly
17 Rădulescu, Vicenţiu D.
16 Wang, Guodong
15 Cingolani, Silvia
15 Li, Guidong
15 Wang, Jun
14 Spector, Daniel E.
13 He, Xiaoming
13 Liang, Sihua
13 Raită, Bogdan
12 Brézis, Haïm
12 Chen, Sitong
12 Xia, Jiankang
12 Yung, Polam
12 Zhang, Jianjun
11 Gmeineder, Franz
11 Li, Quanqing
11 Li, Yongyong
11 Mingione, Giuseppe
11 Saanouni, Tarek
11 Shen, Zifei
11 Stolyarov, Dmitry M.
10 Chen, Jianqing
10 Chen, Wenjing
10 Cianchi, Andrea
10 Figueiredo, Giovany Malcher
10 Ghergu, Marius
10 Liu, Senli
10 Lü, Dengfeng
10 Luo, Huxiao
10 Miyagaki, Olimpio Hiroshi
10 Mukherjee, Tuhina
10 Peng, Shuangjie
10 Qin, Guolin
10 Wan, Jie
10 Yang, Jianfu
10 Zhang, Xu
9 Ambrosio, Vincenzo
9 Dai, Wei
9 Goel, Divya
9 Li, Xinfu
9 Schikorra, Armin
9 Su, Yu
9 Wang, Zhi-Qiang
9 Zhang, Fubao
8 Cassani, Daniele
8 d’Avenia, Pietro
8 Giacomoni, Jacques
8 Lei, Chunyu
8 Liu, Zhisu
8 Ma, Shiwang
8 Ponce, Augusto C.
8 Tanaka, Kazunaga
8 Wang, Qingxuan
8 Yuan, Shuai
8 Zhan, Weicheng
8 Zhang, Jian
7 Bousquet, Pierre
7 Deng, Yinbin
7 Ghimenti, Marco G.
7 Guo, Hui
7 Luo, Xiao
7 Orlandi, Giandomenico
7 Picon, Tiago Henrique
7 Qin, Dongdong
7 Song, Yueqiang
7 Stefani, Giorgio
7 Teng, Kaimin
7 Wang, Tao
7 Wang, Wenbo
7 Wu, Tsungfang
7 Zhang, Hui
7 Zhang, Jihui
6 Baldi, Annalisa
6 Bueno, Hamilton P.
6 Canevari, Giacomo
6 Comi, Giovanni E.
6 Franchi, Bruno
6 Gallo, Marco
6 Kuusi, Tuomo
6 Luo, Xiaorong
6 Mao, Anmin
6 Mercuri, Carlo
6 Nguyen, Hoai-Minh
6 Repovš, Dušan D.
6 Rivière, Tristan
6 Shi, Shaoyun
6 Shuai, Wei
...and 1,207 more Authors
all top 5

Cited in 204 Serials

82 Journal of Mathematical Analysis and Applications
76 Journal of Differential Equations
74 Calculus of Variations and Partial Differential Equations
68 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
42 Journal of Functional Analysis
41 Journal of Mathematical Physics
35 Advances in Nonlinear Analysis
33 Mathematical Methods in the Applied Sciences
33 The Journal of Geometric Analysis
29 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Complex Variables and Elliptic Equations
28 Discrete and Continuous Dynamical Systems
25 Applied Mathematics Letters
25 Communications on Pure and Applied Analysis
24 Communications in Contemporary Mathematics
23 Boundary Value Problems
22 Topological Methods in Nonlinear Analysis
22 Advanced Nonlinear Studies
19 Archive for Rational Mechanics and Analysis
19 NoDEA. Nonlinear Differential Equations and Applications
19 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Nonlinearity
16 Applicable Analysis
15 Annali di Matematica Pura ed Applicata. Serie Quarta
15 Mathematische Nachrichten
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
14 Transactions of the American Mathematical Society
14 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
14 Journal of Fixed Point Theory and Applications
13 Mathematische Annalen
13 SIAM Journal on Mathematical Analysis
13 Mediterranean Journal of Mathematics
12 Proceedings of the American Mathematical Society
12 Discrete and Continuous Dynamical Systems. Series S
11 Electronic Journal of Differential Equations (EJDE)
11 Acta Mathematica Scientia. Series B. (English Edition)
10 Advances in Mathematics
10 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
10 Asymptotic Analysis
10 Nonlinear Analysis. Real World Applications
9 Computers & Mathematics with Applications
9 Communications in Mathematical Physics
9 Advances in Calculus of Variations
9 Analysis and Mathematical Physics
8 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
7 Acta Applicandae Mathematicae
7 Revista Matemática Iberoamericana
7 Journal of the European Mathematical Society (JEMS)
6 Potential Analysis
6 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
6 Communications in Nonlinear Science and Numerical Simulation
6 Qualitative Theory of Dynamical Systems
6 Milan Journal of Mathematics
6 Advances in Mathematical Physics
6 Journal of Applied Analysis and Computation
6 Open Mathematics
5 Mathematische Zeitschrift
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Bulletin of the Iranian Mathematical Society
5 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
5 Science China. Mathematics
5 SN Partial Differential Equations and Applications
4 Inventiones Mathematicae
4 Manuscripta Mathematica
4 Opuscula Mathematica
4 Advances in Differential Equations
4 Acta Mathematica Sinica. English Series
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 AIMS Mathematics
4 Journal of Nonlinear and Variational Analysis
3 Indian Journal of Pure & Applied Mathematics
3 Journal d’Analyse Mathématique
3 Applied Mathematics and Optimization
3 Indiana University Mathematics Journal
3 Monatshefte für Mathematik
3 Pacific Journal of Mathematics
3 Results in Mathematics
3 Advances in Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Communications in Partial Differential Equations
3 Journal of Nonlinear Science
3 Journal of Mathematical Sciences (New York)
3 Fractional Calculus & Applied Analysis
3 Revista Matemática Complutense
3 Journal of Mathematical Fluid Mechanics
3 Acta Mathematica Scientia. Series A. (Chinese Edition)
3 Annals of Functional Analysis
3 Journal of Function Spaces
3 Mathematics in Engineering
3 Electronic Research Archive
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 Demonstratio Mathematica
2 Glasgow Mathematical Journal
2 Illinois Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
2 Michigan Mathematical Journal
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Ricerche di Matematica
...and 104 more Serials
all top 5

Cited in 51 Fields

1,203 Partial differential equations (35-XX)
175 Functional analysis (46-XX)
109 Calculus of variations and optimal control; optimization (49-XX)
107 Real functions (26-XX)
95 Global analysis, analysis on manifolds (58-XX)
78 Fluid mechanics (76-XX)
54 Operator theory (47-XX)
49 Quantum theory (81-XX)
42 Harmonic analysis on Euclidean spaces (42-XX)
35 Differential geometry (53-XX)
30 Mechanics of deformable solids (74-XX)
27 Measure and integration (28-XX)
20 Integral equations (45-XX)
17 Statistical mechanics, structure of matter (82-XX)
16 Convex and discrete geometry (52-XX)
14 Potential theory (31-XX)
12 Ordinary differential equations (34-XX)
10 Functions of a complex variable (30-XX)
10 Dynamical systems and ergodic theory (37-XX)
9 Probability theory and stochastic processes (60-XX)
8 Abstract harmonic analysis (43-XX)
8 Algebraic topology (55-XX)
8 Optics, electromagnetic theory (78-XX)
7 Geophysics (86-XX)
6 Numerical analysis (65-XX)
5 Difference and functional equations (39-XX)
5 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)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Combinatorics (05-XX)
2 Manifolds and cell complexes (57-XX)
2 Computer science (68-XX)
2 Mechanics of particles and systems (70-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Astronomy and astrophysics (85-XX)
1 Number theory (11-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Algebraic geometry (14-XX)
1 Nonassociative rings and algebras (17-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 Sequences, series, summability (40-XX)
1 Statistics (62-XX)
1 Operations research, mathematical programming (90-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year