Publications parues

Alama, Stan; Bronsard, Lia; Sandier, Etienne On the shape of interlayer vortices in the Lawrence-Doniach model. Trans. Am. Math. Soc. 360, No. 1, 1-34 (2008).
Sandier, Etienne; Serfaty, Sylvia Vortices in the magnetic Ginzburg-Landau model. Progress in Nonlinear Differential Equations and Their Applications 70. Basel: Birkhäuser. xii, 322~p, 2006
Sandier, Etienne Vortex analysis of the Ginzburg-Landau model of superconductivity. Brezis, Haïm (ed.) et al., Ginzburg-Landau vortices. Based on the ``Ginzburg-Landau vortices" school and symposium, Shanghai, China, November 18--29, 2002.
Serfaty, Sylvia ; Sandier, Etienne . Vortices for Ginzburg-Landau equations: with magnetic field versus without. Noncompact problems at the intersection of geometry, analysis, and topology, 233--244, Contemp. Math., 350, Amer. Math. Soc., Providence, RI, 2004.
Sandier, Etienne ; Serfaty, Sylvia . Gamma-convergence of gradient flows with applications to Ginzburg-Landau. Comm. Pure Appl. Math. 57 (2004), no. 12, 1627--1672.
Sandier, Etienne ; Serfaty, Sylvia . A product-estimate for Ginzburg-Landau and corollaries. J. Funct. Anal. 211 (2004), no. 1, 219--244.
Sandier, Etienne ; Serfaty, Sylvia . A product estimate for Ginzburg-Landau and application to the gradient-flow. C. R. Math. Acad. Sci. Paris 336 (2003), no. 12, 997--1002.
Sandier, Etienne ; Serfaty, Sylvia . Limiting vorticities for the Ginzburg-Landau equations. Duke Math. J. 117 (2003), no. 3, 403--446.
Sandier, Etienne ; Serfaty, Sylvia . Ginzburg-Landau minimizers near the first critical field have bounded vorticity. Calc. Var. Partial Differential Equations 17 (2003), no. 1, 17--28.
Sandier, Etienne ; Serfaty, Sylvia . The decrease of bulk-superconductivity close to the second critical field in the Ginzburg-Landau model. SIAM J. Math. Anal. 34 (2003), no. 4, 939--956 (electronic).
Sandier, E.; Serfaty, S. Vortex analysis in the Ginzburg-Landau model of superconductivity. Berestycki, Henri (ed.) et al., Nonlinear PDEs in condensed matter and reactive flows. Proceedings of the NATO Advanced Study Institute on PDE's in models of superfluidity, superconductivity and reactive flows, Cargèse, France, 21 June -- 3 July 1999. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 569, 491-506 (2002)
Sandier, Etienne . Ginzburg-Landau minimizers from $\Bbb R\sp {n+1}$ to $\Bbb R\sp n$ and minimal connections. Indiana Univ. Math. J. 50 (2001), no. 4, 1807--1844.
Aftalion, Amandine ; Sandier, Etienne ; Serfaty, Sylvia . Pinning phenomena in the Ginzburg-Landau model of superconductivity. J. Math. Pures Appl. (9) 80 (2001), no. 3, 339--372.
Sandier, Étienne ; Serfaty, Sylvia . A rigorous derivation of a free-boundary problem arising in superconductivity. Ann. Sci. École Norm. Sup. (4) 33 (2000), no. 4, 561--592.
Sandier, Etienne ; Serfaty, Sylvia . On the energy of type-II superconductors in the mixed phase. Rev. Math. Phys. 12 (2000), no. 9, 1219--1257.
Sandier, E. ; Soret, M. $S\sp 1$-valued harmonic maps with high topological degree: asymptotic behavior of the singular set. Potential Anal. 13 (2000), no. 2, 169--184.
Sandier, Etienne ; Soret, Marc . $S\sp 1$-valued harmonic maps with high topological degree. Harmonic morphisms, harmonic maps, and related topics (Brest, 1997), 141--145, Chapman & Hall/CRC Res. Notes Math., 413, Chapman & Hall/CRC, Boca Raton, FL, 2000.
Sandier, Etienne ; Serfaty, Sylvia . Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field. Ann. Inst. H. Poincaré Anal. Non Linéaire 17 (2000), no. 1, 119--145.
Sandier, Etienne . Erratum: "Lower bounds for the energy of unit vector fields and applications" [J. Funct. Anal. 152 (1998), no. 2, 379--403; MR1607928 (99b:58056)]. J. Funct. Anal. 171 (2000), no. 1, 233.
Sandier, Etienne . Locally minimising solutions of $-\Delta u=u(1-\vert u\vert \sp 2)$ in $R\sp 2$. Proc. Roy. Soc. Edinburgh Sect. A 128 (1998), no. 2, 349--358.
Sandier, Etienne . Lower bounds for the energy of unit vector fields and applications. J. Funct. Anal. 152 (1998), no. 2, 379--403.
El Soufi, A. ; Sandier, E. $p$-harmonic diffeomorphisms. Calc. Var. Partial Differential Equations 6 (1998), no. 2, 161--169.
Sandier, Etienne ; Shafrir, Itai . On the uniqueness of minimizing harmonic maps to a closed hemisphere. Calc. Var. Partial Differential Equations 2 (1994), no. 1, 113--122.
Sandier, Étienne . The symmetry of minimizing harmonic maps from a two-dimensional domain to the sphere. Ann. Inst. H. Poincaré Anal. Non Linéaire 10 (1993), no. 5, 549--559.
Sandier, Étienne . Minimisation de l'énergie des cristaux liquides dans un cylindre. (French) [Minimizing the energy of liquid crystals in a cylinder] C. R. Acad. Sci. Paris Sér. I Math. 317 (1993), no. 5, 473--478.
Sandier, Étienne ; Shafrir, Itai . On the symmetry of minimizing harmonic maps in $N$ dimensions. Differential Integral Equations 6 (1993), no. 6, 1531--1541.
Sandier, Étienne . Symétrie des applications harmoniques minimisantes d'une couronne vers la sphère. (French) [The symmetry of minimizing harmonic maps from an annulus to the sphere] C. R. Acad. Sci. Paris Sér. I Math. 313 (1991), no. 7, 435--440.

Autres Publications:

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E.Sandier Calibration des applications harmoniques et p-harmoniques, Proceedings du colloque franco-libanais de géometrie, Tripoli, à paraître. Fichier DVI, Fichier PS.
E.Sandier Asymptotic analysis for a nematic in an electric field, Preprint, Université de Tours, 1999. Fichier DVI, Fichier PS.