Publications

Submitted papers

[1] Pierre Bousquet, Augusto Ponce and Jean Van Schaftingen, Strong density for higher order Sobolev spaces into compact manifolds, submitted.

Preprint: [arXiv:1203.3721]

[2] Vitaly Moroz and Jean Van Schaftingen, Nonexistence and optimal decay of supersolutions to Choquard equations in exterior domains, submitted.

Preprint: [arXiv:1203.3154]

[3] Jean Van Schaftingen, Proving the existence of eigenvalues and eigenvectors by Weierstrass's theorem, submitted.

Preprint: [arXiv:1109.6821]

[4] Marco Squassina and Jean Van Schaftingen, Finding critical points whose polarization is also a critical point, submitted.

Preprint: [arXiv:1108.6217]

[5] Vitaly Moroz and Jean Van Schaftingen, Existence, stability and oscillation properties of slow decay positive solutions of supercritical elliptic equations with Hardy potential, submitted.

Preprint: [arXiv:1108.4668]

Accepted papers

[6] Jonathan Di Cosmo and Jean Van Schaftingen, Stationary solutions of the nonlinear Schrödinger equation with fast-decay potentials concentrating around local maxima, accepted in Calc. Var. Partial Differential Equations.

[doi:10.1007/s00526-012-0518-z]

Preprint: [arXiv:1109.6773]

[7] Jean Van Schaftingen, Limiting Sobolev inequalities for vector fields and canceling linear differential operators, accepted in J. Eur. Math. Soc. (JEMS).

Preprint: [arXiv:1104.0192]

Published papers

[8] Denis Bonheure, Jonathan Di Cosmo and Jean Van Schaftingen, Nonlinear Schrödinger equation with unbounded or vanishing potentials: solutions concentrating on lower dimensional spheres, J. Differential Equations 252 (2012), no. 1, 941–968.

[doi:10.1016/j.jde.2011.10.004]

Preprint: [arXiv:1009.2600]

[9] Vincent Bouchez and Jean Van Schaftingen, Extremal functions in Poincaré-Sobolev inequalities for functions of bounded variation, in Nonlinear Elliptic Partial Differential Equations, Amer. Math. Soc., Contemporary Mathematics, No. 540, 2011, 47−58.

Preprint: [arXiv:1001.4651]

[10] Didier Smets and Jean Van Schaftingen, Desingularization of vortices for the Euler equation, Arch. Rat. Mech. Anal. 198 (2010), no. 3, 869-925.

[doi:10.1007/s00205-010-0293-y]

Preprint: [arXiv:0909.1166]

[11] Denis Bonheure and Jean Van Schaftingen, Groundstates for the nonlinear Schrödinger equation with potential vanishing at infinity, Ann. Mat. Pura Appl. (4) 189 (2010), 273-301.

[doi:10.1007/s10231-009-0109-6]

[12] Vitaly Moroz and Jean Van Schaftingen, Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials, Calc. Var. Partial Differential Equations 37 (2010), no. 1, 1—27.

[doi:10.1007/s00526-009-0249-y]

Preprint: [arXiv:0902.0722]

[13] Jean Van Schaftingen, Limiting fractional and Lorentz spaces estimates of differential forms, Proc. Amer. Math. Soc. 138 (2010), no. 1, 235-240.

[doi:10.1090/S0002-9939-09-10005-9][pdf]

Preprint: [arXiv:0903.2182]

[14] Augusto C. Ponce and Jean Van Schaftingen, Closure of Smooth Maps in \(W^{1,p}(B^3;S^2)\), Differential Integral Equations 22 (2009), no. 9-10, 881-900.

Preprint: [arXiv:0901.4491]

[15] Jean Van Schaftingen, Explicit approximation of the symmetric rearrangement by polarizations, Archiv der Mathematik 93 (2009), no. 2, 181-190.

[doi:10.1007/s00013-009-0018-3]

Preprint: [arXiv:0902.0637]

[16] Vitaly Moroz and Jean Van Schaftingen, Existence and concentration for nonlinear Schrödinger equations with fast decaying potentials, C. R. Math. Acad. Sci. Paris 347 (2009), no. 15-16, 921-926.

[doi:10.1016/j.crma.2009.05.009]

[17] Tianling Jin, Vladimir Maz'ya and Jean Van Schaftingen, Pathological solutions to elliptic problems in divergence form with continuous coefficients, C. R. Math. Acad. Sci. Paris 347 (2009), no. 13-14, 773-778.

[doi:10.1016/j.crma.2009.05.008]

Preprint: [arXiv:0904.1674]

[18] Sagun Chanillo and Jean Van Schaftingen, Subelliptic Bourgain-Brezis estimates on groups, Math. Res. Lett. 16 (2009), no. 3, 487–501.

[web]

Preprint: [arXiv:0712.3730]

[19] Haïm Brezis and Jean Van Schaftingen, Circulation integrals and critical Sobolev spaces: problems of optimal constants, in Perspectives in Partial Differential Equations, Harmonic Analysis and Applications, Amer. Math. Soc., Proc. Sympos. Pure Math., No. 79, 2008, 33–47.

[20] Alain Damlamian, Nicolas Meunier and Jean Van Schaftingen, Periodic homogenization for convex functionals using Mosco convergence, Ricerche Mat. 57 (2008), no. 2, 209–249.

[doi:10.1007/s11587-008-0038-5]

[21] Jean Van Schaftingen, Estimates for \(\mathrm{L}^1\) vector fields under higher-order differential conditions, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 4, 867–882.

[MR:2443922]

Preprint: [dvi] [ps][pdf]

[22] Denis Bonheure, Vincent Bouchez, Christopher Grumiau and Jean Van Schaftingen, Asymptotics and symmetries of least energy nodal solutions of Lane-Emden problems with slow growth, Commun. Contemp. Math. 10 (2008), no. 4, 609–631.

[doi:10.1142/S0219199708002910][MR:2444849]

[23] Pierre Bousquet, Augusto C. Ponce and Jean Van Schaftingen, A case of density in \(W^{2,p}(M;N)\), C. R. Math. Acad. Sci. Paris 346 (2008), no. 13-14, 735–740.

[doi:10.1016/j.crma.2008.05.006][MR:2427072]

[24] Denis Bonheure and Jean Van Schaftingen, Bound state solutions for a class of nonlinear Schrödinger equations, Rev. Mat. Iberoam. 24 (2008), no. 1, 297–351.

[MR:2435974]

Preprint: [dvi] [ps][pdf]

[25] Jean Van Schaftingen and Michel Willem, Symmetry of solutions of semilinear elliptic problems, J. Eur. Math. Soc. (JEMS) 10 (2008), no. 2, 439–456.

[MR:2390331]

Preprint: [dvi] [ps][pdf]

[26] Alain Damlamian, Nicolas Meunier and Jean Van Schaftingen, Periodic homogenization of monotone multivalued operators, Nonlinear Anal. 67 (2007), no. 12, 3217–3239.

[doi:10.1016/j.na.2006.10.007]

Preprint: [dvi] [ps][pdf]

[27] Haïm Brezis and Jean Van Schaftingen, Boundary estimates for elliptic systems with \(L^1\)-data, Calc. Var. Partial Differential Equations 30 (2007), no. 3, 369–388.

[doi:10.1007/s00526-007-0094-9]

Preprint: [dvi] [ps][pdf]

[28] Augusto C. Ponce and Jean Van Schaftingen, The continuity of functions with N-th derivative measure, Houston J. Math. 33 (2007), no. 3, 927–939.

[web][MR:2335744]

Preprint: [dvi] [ps][pdf]

[29] Jean Van Schaftingen, Approximation of symmetrizations and symmetry of critical points, Topol. Methods Nonlinear Anal. 28 (2006), no. 1, 61–85.

[MR:2262256]

Preprint: [dvi] [ps][pdf]

[30] Jean Van Schaftingen, Anisotropic symmetrization, Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006), no. 4, 539–565.

[doi:10.1016/j.anihpc.2005.06.001][MR:2245755]

Preprint: [dvi] [ps][pdf]

[31] Jean Van Schaftingen, Function spaces between BMO and critical Sobolev spaces, J. Funct. Anal. 236 (2006), no. 2, 490–516.

[doi:10.1016/j.jfa.2006.03.011][MR:2240172]

Preprint: [dvi] [ps][pdf]

[32] Denis Bonheure and Jean Van Schaftingen, Nonlinear Schrödinger equations with potentials vanishing at infinity, C. R. Math. Acad. Sci. Paris 342 (2006), no. 12, 903–908.

[doi:10.1016/j.crma.2006.04.011][MR:2235608]

Preprint: [dvi] [ps][pdf]

[33] Jean Schaftingen, Universal approximation of symmetrizations by polarizations, Proc. Amer. Math. Soc. 134 (2006), no. 1, 177–186 (electronic).

[doi:10.1090/S0002-9939-05-08325-5][MR:2170557]

Preprint: [dvi] [ps][pdf]

[34] Nicolas Meunier and Jean Van Schaftingen, Periodic reiterated homogenization for elliptic functions, J. Math. Pures Appl. (9) 84 (2005), no. 12, 1716–1743.

[doi:10.1016/j.matpur.2005.08.003][MR:2180388]

[35] Jean Van Schaftingen, Symmetrization and minimax principles, Commun. Contemp. Math. 7 (2005), no. 4, 463–481.

[doi:10.1142/S0219199705001817][MR:2166661]

Preprint: [dvi] [ps][pdf]

[36] Nicolas Meunier and Jean Van Schaftingen, Reiterated homogenization for elliptic operators, C. R. Math. Acad. Sci. Paris 340 (2005), no. 3, 209–214.

[doi:10.1016/j.crma.2004.10.026][MR:2123030]

Preprint: [dvi] [ps][pdf]

[37] Jean Van Schaftingen, Estimates for \(L^1\) vector fields with a second order condition, Acad. Roy. Belg. Bull. Cl. Sci. (6) 15 (2004), no. 1-6, 103–112.

[MR:2146098]

Preprint: [dvi] [ps][pdf]

[38] J. Van Schaftingen and M. Willem, Set transformations, symmetrizations and isoperimetric inequalities, in Nonlinear analysis and applications to physical sciences, Springer Italia, Milan, 2004, 135–152.

[MR:2085832]

[Errata]

[39] Jean Van Schaftingen, Estimates for \(L^1\)-vector fields, C. R. Math. Acad. Sci. Paris 339 (2004), no. 3, 181–186.

[doi:10.1016/j.crma.2004.05.013][MR:20708071][Zbl 1049.35069]

[40] Jean Van Schaftingen, A simple proof of an inequality of Bourgain, Brezis and Mironescu, C. R. Math. Acad. Sci. Paris 338 (2004), no. 1, 23–26.

[doi:10.1016/j.crma.2003.10.036][MR:2038078]

Preprint: [dvi] [ps][pdf]

Home Page