All Stories

  1. Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps

    Article • Advances in Nonlinear Analysis, December 2019, De Gruyter

    Professor Jean Van Schaftingen

  2. Higher order intrinsic weak differentiability and Sobolev spaces between manifolds

    Article • Advances in Calculus of Variations, July 2019, De Gruyter

    Professor Jean Van Schaftingen

  3. Standing waves with a critical frequency for nonlinear Choquard equations

    Article • Nonlinear Analysis, September 2017, Elsevier

    Professor Jean Van Schaftingen

  4. Bourgain–Brezis inequalities on symmetric spaces of non-compact type

    Article • Journal of Functional Analysis, August 2017, Elsevier

    Professor Jean Van Schaftingen

  5. The logarithmic Choquard equation: Sharp asymptotics and nondegeneracy of the groundstate

    Article • Journal of Functional Analysis, June 2017, Elsevier

    Professor Jean Van Schaftingen

  6. Density of bounded maps in Sobolev spaces into complete manifolds

    Article • Annali di Matematica Pura ed Applicata (1923 -), May 2017, Springer Science + Business Media

    Professor Jean Van Schaftingen

  7. Existence of Groundstates for a Class of Nonlinear Choquard Equations in the Plane

    Article • Advanced Nonlinear Studies, January 2017, De Gruyter

    Professor Jean Van Schaftingen

  8. An $L^1$-type estimate for Riesz potentials

    Article • Revista Matemática Iberoamericana, January 2017, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  9. The Incompressible Navier Stokes Flow in Two Dimensions with Prescribed Vorticity

    Article • January 2017, Springer Science + Business Media

    Professor Jean Van Schaftingen

  10. Variations on a proof of a borderline Bourgain-Brezis Sobolev embedding theorem

    Article • Chinese Annals of Mathematics Series B, January 2017, Springer Science + Business Media

    Professor Jean Van Schaftingen

  11. Choquard equations under confining external potentials

    Article • Nonlinear Differential Equations and Applications NoDEA, December 2016, Springer Science + Business Media

    Professor Jean Van Schaftingen

  12. A guide to the Choquard equation

    Article • Journal of Fixed Point Theory and Applications, November 2016, Springer Science + Business Media

    Professor Jean Van Schaftingen

  13. Groundstates and radial solutions to nonlinear Schrödinger–Poisson–Slater equations at the critical frequency

    Article • Calculus of Variations and Partial Differential Equations, November 2016, Springer Science + Business Media

    Professor Jean Van Schaftingen

  14. Least action nodal solutions for the quadratic Choquard equation

    Article • Proceedings of the American Mathematical Society, August 2016, American Mathematical Society (AMS)

    Professor Jean Van Schaftingen

  15. Nodal solutions for the Choquard equation

    Article • Journal of Functional Analysis, July 2016, Elsevier

    Professor Jean Van Schaftingen

  16. Controlled Singular Extension of Critical Trace Sobolev Maps from Spheres to Compact Manifolds

    Article • International Mathematics Research Notices, June 2016, Oxford University Press (OUP)

    Professor Jean Van Schaftingen

  17. Geometric partial differentiability on manifolds: The tangential derivative and the chain rule

    Article • Journal of Mathematical Analysis and Applications, March 2016, Elsevier

    Professor Jean Van Schaftingen

  18. Applications of Bourgain–Brézis inequalities to fluid mechanics and magnetism

    Article • Comptes Rendus Mathématique, January 2016, Elsevier

    Professor Jean Van Schaftingen

  19. Groundstates of nonlinear Choquard equations: Hardy–Littlewood–Sobolev critical exponent

    Article • Communications in Contemporary Mathematics, October 2015, World Scientific Pub Co Pte Lt

    Professor Jean Van Schaftingen

  20. Semiclassical stationary states for nonlinear Schrödinger equations under a strong external magnetic field

    Article • Journal of Differential Equations, July 2015, Elsevier

    Professor Jean Van Schaftingen

  21. Strong density for higher order Sobolev spaces into compact manifolds

    Article • Journal of the European Mathematical Society, January 2015, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  22. Existence of groundstates for a class of nonlinear Choquard equations

    Article • Transactions of the American Mathematical Society, December 2014, American Mathematical Society (AMS)

    Professor Jean Van Schaftingen

  23. Approximation in Sobolev spaces by piecewise affine interpolation

    Article • Journal of Mathematical Analysis and Applications, December 2014, Elsevier

    Professor Jean Van Schaftingen

  24. Equivalence between Pólya–Szegő and relative capacity inequalities under rearrangement

    Article • Archiv der Mathematik, October 2014, Springer Science + Business Media

    Professor Jean Van Schaftingen

  25. Limiting Bourgain–Brezis estimates for systems of linear differential equations: Theme and variations

    Article • Journal of Fixed Point Theory and Applications, June 2014, Springer Science + Business Media

    Professor Jean Van Schaftingen

  26. Existence, Stability and Oscillation Properties of Slow-Decay Positive Solutions of Supercritical Elliptic Equations with Hardy Potential

    Article • Proceedings of the Edinburgh Mathematical Society, April 2014, Cambridge University Press

    Professor Jean Van Schaftingen

  27. Semi-classical states for the Choquard equation

    Article • Calculus of Variations and Partial Differential Equations, March 2014, Springer Science + Business Media

    Professor Jean Van Schaftingen

  28. Strong approximation of fractional Sobolev maps

    Article • Journal of Fixed Point Theory and Applications, March 2014, Springer Science + Business Media

    Professor Jean Van Schaftingen

  29. Hardy-Sobolev inequalities for vector fields and canceling linear differential operators

    Article • Indiana University Mathematics Journal, January 2014, Indiana University Mathematics Journal

    Professor Jean Van Schaftingen

  30. Interpolation inequalities between Sobolev and Morrey–Campanato spaces: A common gateway to concentration-compactness and Gagliardo–Nirenberg interpolation inequalities

    Article • Portugaliae Mathematica, January 2014, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  31. Groundstates of nonlinear Choquard equations: Existence, qualitative properties and decay asymptotics

    Article • Journal of Functional Analysis, July 2013, Elsevier

    Professor Jean Van Schaftingen

  32. Desingularization of Vortex Rings and Shallow Water Vortices by a Semilinear Elliptic Problem

    Article • Archive for Rational Mechanics and Analysis, May 2013, Springer Science + Business Media

    Professor Jean Van Schaftingen

  33. Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains

    Article • Journal of Differential Equations, April 2013, Elsevier

    Professor Jean Van Schaftingen

  34. Limiting Sobolev inequalities for vector fields and canceling linear differential operators

    Article • Journal of the European Mathematical Society, January 2013, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  35. A Direct Proof of the Existence of Eigenvalues and Eigenvectors by Weierstrass’s Theorem

    Article • American Mathematical Monthly, January 2013, Mathematical Association of America

    Professor Jean Van Schaftingen

  36. Density of smooth maps for fractional Sobolev spaces W^{s, p} into \ell simply connected manifolds when s \ge 1

    Article • Confluentes Mathematici, January 2013, Cellule MathDoc/CEDRAM

    Professor Jean Van Schaftingen

  37. Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima

    Article • Calculus of Variations and Partial Differential Equations, April 2012, Springer Science + Business Media

    Professor Jean Van Schaftingen

  38. Nonlinear Schrödinger equation with unbounded or vanishing potentials: Solutions concentrating on lower dimensional spheres

    Article • Journal of Differential Equations, January 2012, Elsevier

    Professor Jean Van Schaftingen

  39. Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation

    Article • January 2011, American Mathematical Society (AMS)

    Professor Jean Van Schaftingen

  40. Desingularization of Vortices for the Euler Equation

    Article • Archive for Rational Mechanics and Analysis, February 2010, Springer Science + Business Media

    Professor Jean Van Schaftingen

  41. Limiting fractional and Lorentz space estimates of differential forms

    Article • Proceedings of the American Mathematical Society, January 2010, American Mathematical Society (AMS)

    Professor Jean Van Schaftingen

  42. Explicit approximation of the symmetric rearrangement by polarizations

    Article • Archiv der Mathematik, August 2009, Springer Science + Business Media

    Professor Jean Van Schaftingen

  43. Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials

    Article • Comptes Rendus Mathématique, August 2009, Elsevier

    Professor Jean Van Schaftingen

  44. Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity

    Article • Annali di Matematica Pura ed Applicata (1923 -), July 2009, Springer Science + Business Media

    Professor Jean Van Schaftingen

  45. Pathological solutions to elliptic problems in divergence form with continuous coefficients

    Article • Comptes Rendus Mathématique, July 2009, Elsevier

    Professor Jean Van Schaftingen

  46. Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials

    Article • Calculus of Variations and Partial Differential Equations, June 2009, Springer Science + Business Media

    Professor Jean Van Schaftingen

  47. Subelliptic Bourgain–Brezis estimates on groups

    Article • Mathematical Research Letters, January 2009, International Press of Boston

    Professor Jean Van Schaftingen

  48. Periodic homogenization for convex functionals using Mosco convergence

    Article • Ricerche di Matematica, November 2008, Springer Science + Business Media

    Professor Jean Van Schaftingen

  49. ASYMPTOTICS AND SYMMETRIES OF LEAST ENERGY NODAL SOLUTIONS OF LANE–EMDEN PROBLEMS WITH SLOW GROWTH

    Article • Communications in Contemporary Mathematics, August 2008, World Scientific Pub Co Pte Lt

    Professor Jean Van Schaftingen

  50. A case of density in

    Article • Comptes Rendus Mathématique, July 2008, Elsevier

    Professor Jean Van Schaftingen

  51. Symmetry of solutions of semilinear elliptic problems

    Article • Journal of the European Mathematical Society, January 2008, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  52. Estimates for L1-vector fields under higher-order differential conditions

    Article • Journal of the European Mathematical Society, January 2008, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  53. Bound state solutions for a class of nonlinear Schrödinger equations

    Article • Revista Matemática Iberoamericana, January 2008, European Mathematical Publishing House

    Professor Jean Van Schaftingen

  54. Circulation integrals and critical Sobolev spaces: problems of optimal constants

    Article • January 2008, American Mathematical Society (AMS)

    Professor Jean Van Schaftingen

  55. Periodic homogenization of monotone multivalued operators

    Article • Nonlinear Analysis, December 2007, Elsevier

    Professor Jean Van Schaftingen

  56. Boundary estimates for elliptic systems with L1–data

    Article • Calculus of Variations and Partial Differential Equations, March 2007, Springer Science + Business Media

    Professor Jean Van Schaftingen

  57. Function spaces between BMO and critical Sobolev spaces

    Article • Journal of Functional Analysis, July 2006, Elsevier

    Professor Jean Van Schaftingen

  58. Anisotropic symmetrization

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, July 2006, Elsevier

    Professor Jean Van Schaftingen

  59. Periodic reiterated homogenization for elliptic functions

    Article • Journal de Mathématiques Pures et Appliquées, December 2005, Elsevier

    Professor Jean Van Schaftingen

  60. SYMMETRIZATION AND MINIMAX PRINCIPLES

    Article • Communications in Contemporary Mathematics, August 2005, World Scientific Pub Co Pte Lt

    Professor Jean Van Schaftingen

  61. Reiterated homogenization for elliptic operators

    Article • Comptes Rendus Mathématique, February 2005, Elsevier

    Professor Jean Van Schaftingen

  62. Estimates for L1-vector fields

    Article • Comptes Rendus Mathématique, August 2004, Elsevier

    Professor Jean Van Schaftingen

  63. A simple proof of an inequality of Bourgain, Brezis and Mironescu

    Article • Comptes Rendus Mathématique, January 2004, Elsevier

    Professor Jean Van Schaftingen