List of publications of Tristan Rivière

# List of publications of Tristan Rivière

Books and monographs:
• with F. Pacard : Linear and Non-linear Aspects of Vortices, Birkhäuser (2000)
• Conformally Invariant Variational Problems. (2012) pdf file
• Weak Immersions of Surfaces with L^2-bounded second fundamental form. PCMI Graduate Summer School (2013) pdf file

Articles:
 84 : with Paul Laurain: Optimal estimate for the gradient of Green functions on degenerating surfaces and applicationspdf file 83 : Critical weak immersed Surfaces within Sub-manifolds of the Teichüller Space pdf file 82 : with Mircea Petrache : The resolution of the Yang-Mills Plateau Problem in Super-critical Dimensions pdf file 81 : with Laura Keller and Andrea Mondino : Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint pdf file 80 : with Robert Hardt : Sequential Weak Approximation for Maps of Finite Hessian Energy pdf file 79 : with M.Petrache : Global Gauges and Extensions in Optimal Spaces pdf file 78 : with A. Mondino : Willmore Spheres in Compact Riemannian Manifolds, preprint (2012) pdf file 77 : Sequences of Smooth Global Isothermic Immersions arXiv (2012) pdf file 76 : with P. Laurain :Energy Quantization for Biharmonic Maps arXiv:1112.5393 (2011) pdf file 75 : with A. Mondino :Immersed Spheres of Finite Total Curvature into Manifolds, preprint (2011) pdf file 74 : with P. Laurain : Angular Energy Quantization for Linear Elliptic Systems with Antisymmetric Potentials and Applications arXiv:1109.3599 (2011) pdf file 73 : with Y. Bernard : An Energy Gap Phenomenon for Willmore Spheres, preprint 2011 pdf file 72 : with Y. Bernard : Energy Quantization for Willmore Surfaces and Applications arXiv:1106.3780 (2011) pdf file 71 : with Y. Bernard : Aymptotic Analysis of Branched Willmore Surfaces, arXiv:1106.4642 pdf file 70 : Lipschitz conformal Immersions from degenerating Surfaces with L2-bounded Second Fundamental Form. , preprint (2010) pdf file 69 : Variational Principles for immersed Surfaces with L2-bounded Second Fundamental Form. , preprint (2010) pdf file 68 : with M. Petrache : Weak closure of singular abelian L^p-bundles in 3-dimensions, to appear in G.A.F.A. 21 (2011), no. 6, 1419–1442. pdf file 67 : Sub-criticality of Schrödinger Systems with Antisymmetric Potentials, J. Math. Pures Appl. (9) 95 (2011), no. 3, 260–276. pdf file 66 with F. Da Lio : Sub-criticality of non-local Schrödinger systems with antisymmetric potential and applications to half harmonic maps, Advances in Math. 227 (2011) 1300-1348. pdf file 65 with M. Blaser : A Minimality Property for Entropic Solutions to Hyperbolic Scalar Conservation Law in 1+1 Dimensions, Comm. P.D.E. 35 (2010), no. 10, 1763–1801 pdf file 64 with F. Da Lio : 3-commutator estimates and the regularity of 1/2-harmonic maps into spheres, Analysis and PDE 4 (2011), no. 1, 149--190. pdf file 63 with C. Bellettini : The regularity of Special Legendrian Integral Cycles, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) vol. XI (2012) 61-142. pdf file 62 Error Analysis for the Willmore-Helfrich Functional, Oberwolfach Report, workshop on the Mathematics of biomembranes (2008). pdf file 61 with Y. Bernard : Local Palais Smale Sequences for the Willmore Functional, preprint (2008) pdf file 60 with T. Kessel : Singular bundles with bounded L^2 curvatures, Bull. U.M.I. volume dedicated to the memory of Guido Stampacchia, 1 (2008), no 3, 881-901. pdf file 59 The role of Integrability by Compensation in Conformal Geometric Analysis, to appear in Analytic aspects of problems from Riemannian Geometry S.M.F. (2008) pdf file 58 Analysis aspects of Willmore surfaces, Inventiones Math., 174 (2008), no.1, 1-45 pdf file 57 Lois de conservations pour les \'equations de Schrödinger à potentiels antisym\'etriques. GDR EDP Evian (2006) ps file 56 with T. Lamm : Conservation laws for fourth order systems in four dimensions. Comm.P.D.E., 33 (2008), no. 2, 245-262. ps file 55 with M. Struwe : Partial regularity for harmonic maps, and related problems. Comm. Pure and Applied Math., 61 (2008), no. 4, 451-463 ps file 54 Sobolev critical exponents of rational homotopy groups . Pure and App. Math. Quarterly, issue in honor of L.Simon, 3 (2007) 615-630, no 2 ps file 53 Conservation laws for conformal invariant variational problems . Invent. Math., 168 (2007), 1-22.ps file 52 with D. Pumberger : Uniqueness of tangent cones for semi-calibrated 2-cycles . Duke Math. J. 152 (2010), no 3, 441-480.ps file 51 with R. Hardt : Connecting Rational Homotopy Type Singularities . Acta Math., 200 (2008), 15-83.ps file 50 with P. Strzelecki : A sharp non-linear Gagliardo-Nirenberg type estimate and applications to the regularity of elliptic systems . Comm. PDE, 30 (2005).ps file 49 with G.Tian : The Singular Set of 1-1 Integral Currents. Annals of Math. (2) 169 (2009), no. 3, 741-794.pdf file 48 Approximating J-holomorphic curves by holomorphic ones. Calc. Var. and PDE, 21 (2004).ps file 47 A lower-epiperimetric inequality for area minimizing surfaces. Comm. Pure and App. Math., 57 (2004).ps file 46 with C.Delellis : The Rectifiability of Entropy Measures in one Space dimension. Journal de Math. Pures et App. 82 (2003).ps file 45 Bubbling, quantization and regularity issues in geometric non-linear analysis, ICM Beijing (2002).ps file 44 with M.Lecumberry : The rectifiability of shock waves for the solutions of genuinely non-linear scalar conservation laws in "Structures geometriques des parois..." these de Doctorat de l'universite de Nantes (2003).ps file 43 Parois et vortex en micromagn\'etime, Analyse des EDP \a Forges-les-eaux 3-7 juin 2002.ps file 42 with L.Ambrosio, B. Kirchheim and M.Lecumberry : Rectifiability of defect measures arising in micromagnetic domains, Volume dedicated to the 80th birthday of O. Ladyzhenskaya, Kluwer Academic (2002).ps file 41 with L.Ambrosio and M.Lecumberry : Viscosity property of minimizing micromagnetic configurations, to appear in Comm. Pure and App. Math., 56 (2003).ps file 40 with F.Alouges and S.Serfaty : Wall energies of micromagnetic materials with strong planar anisotropy, to appear in COCV, volume \a la m\'emoire de J.L.Lions (2002).ps file 39 with G.Tian : The singular set of J-holomorphic maps into algebraic varieties, Journal Reine und Angew. Math., 570 (2004).ps file 38 with M.Lecumberry : Regularity property for Micromagnetic configurations having zero jump energy, Calc of Var. and PDE, 15 (2002).ps file 37 with A.Aftalion : Vortex energy and vortex bending for a rotating Bose-Einstein condensate, Physical Review A, 64, 043611 (2001)1-7.ps file 36 with Y.Meyer : Partial Regularity for a class of stationary Yang-Mills Fields, Rev. Math. Iberoamericana, 19, (2003), 195-219.ps file 35 with S.Serfaty : Compactness, kinetic formulation and entropies for a problem related to Micromagnetics, to appear in Comm. PDE (2002).ps file 34 with R. Hardt : Ensembles singuliers topologiques dans les espaces fonctionnels entre varietes, Seminaire EDP, Ecole Polytechnique, No.7, 14p, (2000).ps file 33 Interpolation Spaces and Energy Quantization for Yang-Mills Fields, to appear in Comm. Ana. Geom. (2002).ps file 32 with M.R. Pakzad : Weak density of smooth maps for the Dirichlet Energy between manifolds, submitted (2001).ps file 31 with R. Hardt : Connecting Topological Hopf Singularities, to appear in Ann. Scuo. Normale Sup. Pisa (2003).ps file 30 with F.H. Lin : Quantization property for moving Line vortices, Comm. Pure App. Math., 54, (2001), 826-850.ps file 29 High-dimensional Helicities and rigidity of linked Foliations, to appear in Asian J. Math. (2002).ps file 28 with S. Serfaty : Limiting domain wall Energy for a Problem related to Micromagnetism, Comm. Pure App. Math., 54, (2001), 294-338.ps file 27 with F.H. Lin : Energy Quantization for Harmonic Maps, to appear in Duke Math. J. (2001).ps file 26 with F.H. Lin : A Quantization property for static Ginzburg-Landau Vortices, Comm. Pure App. Math., 54, (2001), 206-228.ps file 25 Ginzburg Landau Vortices - The static Model, Bourbaki Seminar expose no 868, (1999). 24 On Dense subsets of $H^{\frac{1}{2}}(S^2,S^1)$}, Glob. Anal. and Geom., 18, 5, (2000), 517-528. 23 Towards Jaffe and Taubes Conjectures in the strongly repulsive limit , to appear in Manuscr. Math.ps file 22 On the use of differential forms for the Skyrme Problem, Letters in Math. Phy., 45, 3, 229-238 (1998). 21 with F. Pacard : On the set of Minimizers of the Ginzburg-Landau Functional in dimension 2 in "Harmonic Morphisms, Harmonic Maps and related Topics" Pitman Research notes in Math. Series, CRC Press. 20 with F.H. Lin : Complex Ginzburg-Landau Equations in high dimensions and codimension 2 Minimal surfaces, J. European Math. Soc., 1, (1999) 3, 237-311. 19 Asymptotic analysis for the Ginzburg-Landau Equations Mini-course ETH Zuerich 1997, Bolletino UMI, 2-B, (1999) 8, 537-575.pdf file 18 Minimizing Fibrations and $p$-Harmonic maps in Homotopy Classes from $S^3$ into $S^2$, Comm. Anal. Geom., 6, (1998), 427-483. 17 Line vortices in the $U(1)$-Higgs Model, C.O.C.V., vol 1, 1996, 77-167. 16 Lignes de tourbillons dans le mod\ele ab\'elien de Higgs}, C.R.Acad.Sc. Paris, 321, (1995), 73-76. 15 with F.Bethuel : Fonctionnelle de Ginzburg-Landau pour la supraconductivite, Expose au seminaire EDP de l'Ecole Polytechnique, Exp. No. 16, 12p. (1994). 14 with D.Ye : Resolutions of the prescribed volume form equation, NoDEA, 3, (1996), 323-369..ps file 13 with D.Ye : Une resolution de l'equation a forme volume prescrite, C.R.Acad.Sc. Paris, 319, (1994), 25-28. 12 with F.Bethuel : Vortices for a variational problem related to Superconductivity, Annales de l'I.H.P., Analyse non lineaire, 12 (1995), 243-303. 11 with H.Brezis and F.Merle : Quantization effects for $-\Delta u=u\, (1-|u|^2)$ in ${\mathbb{R}}^2$}, Arch. Rat. Mech. and Anal, 126, (1994),pp 123-145. 10 with H.Brezis and F.Merle : Effets de quantification pour $-\Delta u=u\, (1-|u|^2)$ sur ${\mathbb{R}}^2$}, C.R.Acad.Sc. Paris, 317, (1993), pp 57-60. 9 Everywhere discontinuous Harmonic Maps into Spheres, Acta Matematica, 175, (1995),197-226. 8 Harmonic maps with values into Torii of revolution, published in  Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993). 7 Flot des applications harmoniques en dimension deux, published in  Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993). 6 Infinites des applications harmoniques a valeur dans une sphere pour une condition au bord donnee, published in  Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993). 5 Harmonic maps from $B^3$ into $S^2$ having a line of singularities, published in ` Applications harmoniques entre varietes'': These de l'universite Paris 6, (1993). 4 Applications harmoniques partout discontinues, Seminaires EDP, Ecole Polytechnique, XIX, (1992) 3 Applications harmoniques de $B^3$ dans $S^2$ partout discontinues, C.R.Acad.Sc. Paris, 314, (1992), pp 719-723. 2 Applications harmoniques de $B^3$ dans $S^2$ ayant une ligne de singularites, C.R.Acad.Sc. Paris, 313, (1991), pp 583-587. 1 with I.Shafrir : Asymptotic analysis of minimizing harmonic maps of region bounded by two cylinders, C.R.Acad.Sc. Paris, 313, (1991), pp 503-508.

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