Edit Profile (opens in new tab) Millot, Vincent Co-Author Distance Author ID: millot.vincent Published as: Millot, Vincent; Millot, V. Documents Indexed: 26 Publications since 2005 Co-Authors: 24 Co-Authors with 23 Joint Publications 701 Co-Co-Authors all top 5 Co-Authors 3 single-authored 4 Babadjian, Jean-François 3 Fusco, Nicola 3 Ignat, Radu 3 Pisante, Adriano 3 Sire, Yannick 2 Lemenant, Antoine 2 Morini, Massimiliano 2 Pegon, Marc 1 Alama, Stan 1 Bonnivard, Matthieu 1 Bronsard, Lia 1 De Pauw, Thierry 1 Dipasquale, Federico Luigi 1 Figalli, Alessio 1 Fonseca, Irene 1 Galvão-Sousa, Bernardo 1 Goldman, Michael 1 Leoni, Giovanni 1 Maggi, Francesco 1 Merlet, Benoît 1 Rodiac, Rémy 1 Schikorra, Armin 1 Wang, Kelei 1 Yu, Hui all top 5 Serials 4 Archive for Rational Mechanics and Analysis 3 Calculus of Variations and Partial Differential Equations 2 Journal of Functional Analysis 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Communications in Mathematical Physics 1 Journal d’Analyse Mathématique 1 Reviews in Mathematical Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Indiana University Mathematics Journal 1 Asymptotic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Interfaces and Free Boundaries 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris all top 5 Fields 16 Calculus of variations and optimal control; optimization (49-XX) 14 Partial differential equations (35-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Mechanics of deformable solids (74-XX) 3 Functional analysis (46-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 24 Publications have been cited 359 times in 291 Documents Cited by ▼ Year ▼ Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M. 89 2015 The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009Ignat, Radu; Millot, Vincent 52 2006 On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291Millot, Vincent; Sire, Yannick 52 2015 A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030Fusco, Nicola; Millot, Vincent; Morini, Massimiliano 35 2011 Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030Ignat, Radu; Millot, Vincent 31 2006 Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements. Zbl 1302.35051Babadjian, Jean-François; Millot, Vincent 17 2014 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 13 2011 Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional. Zbl 1204.35156Millot, Vincent; Pisante, Adriano 13 2010 Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909Dipasquale, Federico; Millot, Vincent; Pisante, Adriano 8 2021 Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472Millot, Vincent; Sire, Yannick; Wang, Kelei 7 2019 On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent 7 2018 A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191Goldman, Michael; Merlet, Benoit; Millot, Vincent 6 2020 \(\Gamma\)-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves. Zbl 1245.82085Alama, Sam; Bronsard, Lia; Millot, Vincent 4 2011 Partial regularity for fractional harmonic maps into spheres. Zbl 1494.58004Millot, Vincent; Pegon, Marc; Schikorra, Armin 4 2021 Relaxed energies for \(H^{1/2}\)-maps with values into the circle and measurable weights. Zbl 1173.46017Millot, Vincent; Pisante, Adriano 3 2009 Homogenization of variational problems in manifold valued \(BV\)-spaces. Zbl 1169.74037Babadjian, Jean-François; Millot, Vincent 3 2009 Homogenization of variational problems in manifold valued Sobolev spaces. Zbl 1427.74148Babadjian, Jean-François; Millot, Vincent 3 2010 Minimizing fractional harmonic maps on the real line in the supercritical regime. Zbl 07694265Millot, Vincent; Sire, Yannick; Yu, Hui 3 2018 Minimizing \(1/2\)-harmonic maps into spheres. Zbl 1437.35310Millot, Vincent; Pegon, Marc 2 2020 Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566Ignat, Radu; Millot, Vincent 2 2005 Energy with weight for \(S^2\)-valued maps with prescribed singularities. Zbl 1115.49013Millot, Vincent 2 2005 A two-gradient approach for phase transitions in thin films. Zbl 1277.35140Galvão-Sousa, Bernardo; Millot, Vincent 1 2013 The relaxed energy for \(S^2\)-valued maps and measurable weights. Zbl 1130.49002Millot, Vincent 1 2006 On sets minimizing their weighted length in uniformly convex separable Banach spaces. Zbl 1364.49058De Pauw, Thierry; Lemenant, Antoine; Millot, Vincent 1 2017 Torus-like solutions for the Landau-de Gennes model. I: The Lyuksyutov regime. Zbl 1456.82909Dipasquale, Federico; Millot, Vincent; Pisante, Adriano 8 2021 Partial regularity for fractional harmonic maps into spheres. Zbl 1494.58004Millot, Vincent; Pegon, Marc; Schikorra, Armin 4 2021 A Ginzburg-Landau model with topologically induced free discontinuities. (Un modèle de type Ginzburg-Landau avec des discontinuités libres topologiquement induites.) Zbl 1468.35191Goldman, Michael; Merlet, Benoit; Millot, Vincent 6 2020 Minimizing \(1/2\)-harmonic maps into spheres. Zbl 1437.35310Millot, Vincent; Pegon, Marc 2 2020 Asymptotics for the fractional Allen-Cahn equation and stationary nonlocal minimal surfaces. Zbl 1406.35472Millot, Vincent; Sire, Yannick; Wang, Kelei 7 2019 On a phase field approximation of the planar Steiner problem: existence, regularity, and asymptotic of minimizers. Zbl 1396.49027Bonnivard, Matthieu; Lemenant, Antoine; Millot, Vincent 7 2018 Minimizing fractional harmonic maps on the real line in the supercritical regime. Zbl 07694265Millot, Vincent; Sire, Yannick; Yu, Hui 3 2018 On sets minimizing their weighted length in uniformly convex separable Banach spaces. Zbl 1364.49058De Pauw, Thierry; Lemenant, Antoine; Millot, Vincent 1 2017 Isoperimetry and stability properties of balls with respect to nonlocal energies. Zbl 1312.49051Figalli, A.; Fusco, N.; Maggi, F.; Millot, V.; Morini, M. 89 2015 On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres. Zbl 1372.35291Millot, Vincent; Sire, Yannick 52 2015 Unilateral gradient flow of the Ambrosio-Tortorelli functional by minimizing movements. Zbl 1302.35051Babadjian, Jean-François; Millot, Vincent 17 2014 A two-gradient approach for phase transitions in thin films. Zbl 1277.35140Galvão-Sousa, Bernardo; Millot, Vincent 1 2013 A quantitative isoperimetric inequality for fractional perimeters. Zbl 1228.46030Fusco, Nicola; Millot, Vincent; Morini, Massimiliano 35 2011 Material voids in elastic solids with anisotropic surface energies. Zbl 1285.74003Fonseca, Irene; Fusco, Nicola; Leoni, Giovanni; Millot, Vincent 13 2011 \(\Gamma\)-convergence of 2D Ginzburg-Landau functionals with vortex concentration along curves. Zbl 1245.82085Alama, Sam; Bronsard, Lia; Millot, Vincent 4 2011 Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional. Zbl 1204.35156Millot, Vincent; Pisante, Adriano 13 2010 Homogenization of variational problems in manifold valued Sobolev spaces. Zbl 1427.74148Babadjian, Jean-François; Millot, Vincent 3 2010 Relaxed energies for \(H^{1/2}\)-maps with values into the circle and measurable weights. Zbl 1173.46017Millot, Vincent; Pisante, Adriano 3 2009 Homogenization of variational problems in manifold valued \(BV\)-spaces. Zbl 1169.74037Babadjian, Jean-François; Millot, Vincent 3 2009 The critical velocity for vortex existence in a two-dimensional rotating Bose-Einstein condensate. Zbl 1106.58009Ignat, Radu; Millot, Vincent 52 2006 Energy expansion and vortex location for a two-dimensional rotating Bose-Einstein condensate. Zbl 1105.82030Ignat, Radu; Millot, Vincent 31 2006 The relaxed energy for \(S^2\)-valued maps and measurable weights. Zbl 1130.49002Millot, Vincent 1 2006 Vortices in a 2d rotating Bose–Einstein condensate. Zbl 1072.35566Ignat, Radu; Millot, Vincent 2 2005 Energy with weight for \(S^2\)-valued maps with prescribed singularities. Zbl 1115.49013Millot, Vincent 2 2005 all cited Publications top 5 cited Publications all top 5 Cited by 326 Authors 17 Novaga, Matteo 13 Millot, Vincent 11 Valdinoci, Enrico 10 Fusco, Nicola 10 Schikorra, Armin 9 Sire, Yannick 8 Liu, Zuhan 7 Dipierro, Serena 7 Ignat, Radu 7 Pelinovsky, Dmitry Efimovich 6 Alama, Stan 6 Bronsard, Lia 6 Correggi, Michele 6 Fonseca, Irene 6 Goldman, Michael 6 Morini, Massimiliano 6 Rougerie, Nicolas 5 Aftalion, Amandine 5 De Luca, Lucia 5 Frank, Rupert L. 5 Rossi, Riccarda 5 Ruffini, Berardo 5 Topaloglu, Ihsan 5 Yngvason, Jakob 4 Acuña Valverde, Luis 4 Alberico, Angela 4 Bonafini, Mauro 4 Cabré, Xavier 4 Cesaroni, Annalisa 4 Cianchi, Andrea 4 Cicalese, Marco 4 Cinti, Eleonora 4 Dávila, Gonzalo 4 Fall, Mouhamed Moustapha 4 Figalli, Alessio 4 Gallo, Clément 4 Huang, Chengming 4 Julin, Vesa 4 Knüpfer, Hans 4 La Manna, Domenico Angelo 4 Leoni, Giovanni 4 Mazowiecka, Katarzyna Ewa 4 Negri, Matteo 4 Orlandi, Giandomenico 4 Oudet, Edouard 4 Pegon, Marc 4 Pick, Luboš 4 Pisante, Adriano 4 Royo-Letelier, Jimena 4 Slastikov, Valeriy V. 4 Slavíková, Lenka 4 Sourdis, Christos 4 Zarnescu, Arghir Dani 4 Zhang, Qifeng 3 Almi, Stefano 3 Choksi, Rustum 3 Cristoferi, Riccardo 3 Da Lio, Francesca 3 Davoli, Elisa 3 Guo, Yujin 3 Karali, Georgia D. 3 Lei, Yutian 3 Li, Meng 3 Maggi, Francesco 3 Majumdar, Apala 3 Muratov, Cyrill B. 3 Nguyen, Luc 3 Onoue, Fumihiko 3 Piovano, Paolo 3 Ponsiglione, Marcello 3 Pratelli, Aldo 3 Rodiac, Rémy 3 Sandier, Etienne 3 Smyrnelis, Panayotis 3 Sun, Haiwei 3 Thomas, Marita 3 Wei, Juncheng 3 Xiao, Jie 3 Zhang, Lu 3 Zheng, Youquan 2 Akagi, Goro 2 Babadjian, Jean-François 2 Badal, Rufat 2 Bonacini, Marco 2 Caroccia, Marco 2 Chen, Qinghua 2 Clerc, Marcel G. 2 Colorado, Eduardo 2 Contreras, Andres A. 2 Cygan, Wojciech 2 Dinh, Van Duong 2 Garofalo, Nicola 2 Grzywny, Tomasz 2 Hao, Zhaopeng 2 Heinemann, Christian 2 Jerrard, Robert Leon 2 Kevrekidis, Panayotis G. 2 Kimura, Masato 2 Knees, Dorothee 2 Kowalczyk, Michał ...and 226 more Authors all top 5 Cited in 97 Serials 28 Calculus of Variations and Partial Differential Equations 23 Archive for Rational Mechanics and Analysis 20 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Journal of Functional Analysis 11 Communications in Mathematical Physics 7 SIAM Journal on Mathematical Analysis 7 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 6 Journal of Mathematical Physics 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Advances in Calculus of Variations 5 Journal of Mathematical Analysis and Applications 5 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Advances in Mathematics 4 Journal of Differential Equations 4 Journal für die Reine und Angewandte Mathematik 4 Communications in Partial Differential Equations 4 Analysis & PDE 3 Journal d’Analyse Mathématique 3 Nonlinearity 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Annalen 3 European Journal of Applied Mathematics 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Discrete and Continuous Dynamical Systems 3 Interfaces and Free Boundaries 3 Geometric Flows 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Journal of Statistical Physics 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Indiana University Mathematics Journal 2 Proceedings of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Numerical Methods for Partial Differential Equations 2 Applied Mathematics Letters 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Potential Analysis 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Nonlinear Science and Numerical Simulation 2 Communications in Contemporary Mathematics 2 Communications on Pure and Applied Analysis 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Journal of Fixed Point Theory and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Applicable Analysis 1 Computer Methods in Applied Mechanics and Engineering 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 American Journal of Mathematics 1 Inventiones Mathematicae 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Michigan Mathematical Journal 1 Numerical Functional Analysis and Optimization 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Rendiconti del Seminario Matematico della Università di Padova 1 Studies in Applied Mathematics 1 Annals of Global Analysis and Geometry 1 Journal of Computational Mathematics 1 Physica D 1 Applied Numerical Mathematics 1 Journal of Theoretical Probability 1 Journal of Scientific Computing 1 The Journal of Geometric Analysis 1 Numerical Algorithms 1 Journal of Dynamics and Differential Equations 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Electronic Journal of Differential Equations (EJDE) 1 Advances in Computational Mathematics 1 Advances in Differential Equations 1 Fractional Calculus & Applied Analysis 1 Nonlinear Analysis. Real World Applications 1 Milan Journal of Mathematics 1 International Journal of Geometric Methods in Modern Physics 1 GAMM-Mitteilungen 1 Advances in Applied Mathematics and Mechanics 1 Journal of Spectral Theory 1 Analysis and Mathematical Physics 1 Bulletin of Mathematical Sciences 1 Advances in Nonlinear Analysis 1 Annals of PDE 1 Journal de l’École Polytechnique – Mathématiques 1 Mathematics in Engineering 1 Tunisian Journal of Mathematics 1 European Mathematical Society Magazine all top 5 Cited in 33 Fields 178 Partial differential equations (35-XX) 114 Calculus of variations and optimal control; optimization (49-XX) 55 Statistical mechanics, structure of matter (82-XX) 33 Mechanics of deformable solids (74-XX) 27 Differential geometry (53-XX) 23 Numerical analysis (65-XX) 21 Global analysis, analysis on manifolds (58-XX) 21 Fluid mechanics (76-XX) 20 Real functions (26-XX) 19 Functional analysis (46-XX) 16 Quantum theory (81-XX) 12 Probability theory and stochastic processes (60-XX) 11 Operator theory (47-XX) 10 Measure and integration (28-XX) 7 Convex and discrete geometry (52-XX) 6 Potential theory (31-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Geometry (51-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Algebraic topology (55-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 Combinatorics (05-XX) 1 \(K\)-theory (19-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) Citations by Year