## Rivière, Tristan

Compute Distance To:
 Author ID: riviere.tristan Published as: Rivière, Tristan; Riviere, Tristan; Riviére, Tristan; Rivière, T. more...less Homepage: http://www.math.ethz.ch/~riviere/ External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 101 Publications since 1991, including 1 Book 2 Contributions as Editor Co-Authors: 40 Co-Authors with 66 Joint Publications 1,006 Co-Co-Authors
all top 5

### Co-Authors

 37 single-authored 8 Da Lio, Francesca 5 Bernard, Yann 4 Hardt, Robert M. 4 Laurain, Paul 4 Lin, Fang Hua 4 Mondino, Andrea 3 Lecumberry, Myriam 3 Petrache, Mircea 3 Serfaty, Sylvia 2 Ambrosio, Luigi 2 Bethuel, Fabrice 2 Brézis, Haïm 2 Merle, Frank 2 Pacard, Frank 2 Palmurella, Francesco 2 Pigati, Alessandro 2 Tian, Gang 2 Wettstein, Jerome 2 Ye, Dong 1 Alberti, Giovanni 1 Alouges, François 1 Bellettini, Costante 1 Blaser, Michael 1 Dal Maso, Gianni 1 De Lellis, Camillo 1 Friesecke, Gero 1 Keller, Laura Gioia Andrea 1 Kessel, Thiemo 1 Kirchheim, Bernd 1 Lamm, Tobias 1 Martinazzi, Luca 1 McCann, Robert J. 1 Meyer, Yves F. 1 Michelat, Alexis 1 Pakzad, Mohammad Reza 1 Păunoiu, Alexandru 1 Pumberger, David 1 Shafrir, Itai 1 Struwe, Michael 1 Strzelecki, Paweł
all top 5

### Serials

 7 Communications on Pure and Applied Mathematics 6 Communications in Partial Differential Equations 6 Comptes Rendus de l’Académie des Sciences. Série I 5 Advances in Mathematics 5 Communications in Analysis and Geometry 5 Calculus of Variations and Partial Differential Equations 4 Duke Mathematical Journal 4 Analysis & PDE 3 Archive for Rational Mechanics and Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Advances in Calculus of Variations 2 Acta Mathematica 2 Inventiones Mathematicae 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Geometric and Functional Analysis. GAFA 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Séminaire Équations aux Dérivées Partielles 2 Annals of Mathematics. Second Series 2 Journal of the European Mathematical Society (JEMS) 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Oberwolfach Reports 1 Letters in Mathematical Physics 1 Publications Mathématiques 1 Journal of Differential Geometry 1 Manuscripta Mathematica 1 Pacific Journal of Mathematics 1 Transactions of the American Mathematical Society 1 Annals of Global Analysis and Geometry 1 Revista Matemática Iberoamericana 1 IMRN. International Mathematics Research Notices 1 The Journal of Geometric Analysis 1 Notices of the American Mathematical Society 1 NoDEA. Nonlinear Differential Equations and Applications 1 The Asian Journal of Mathematics 1 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 1 Pure and Applied Mathematics Quarterly 1 Bollettino dell’Unione Matematica Italiana. Series IX 1 Progress in Nonlinear Differential Equations and Their Applications
all top 5

### Fields

 58 Partial differential equations (35-XX) 50 Global analysis, analysis on manifolds (58-XX) 47 Calculus of variations and optimal control; optimization (49-XX) 40 Differential geometry (53-XX) 8 Functions of a complex variable (30-XX) 8 Quantum theory (81-XX) 8 Statistical mechanics, structure of matter (82-XX) 6 Several complex variables and analytic spaces (32-XX) 5 Functional analysis (46-XX) 4 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Mechanics of particles and systems (70-XX) 1 History and biography (01-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) 1 Optics, electromagnetic theory (78-XX)

### Citations contained in zbMATH Open

89 Publications have been cited 1,298 times in 706 Documents Cited by Year
Conservation laws for conformally invariant variational problems. Zbl 1128.58010
Rivière, Tristan
2007
Analysis aspects of Willmore surfaces. Zbl 1155.53031
Rivière, Tristan
2008
Everywhere discontinuous harmonic maps into spheres. Zbl 0898.58011
Rivière, Tristan
1995
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Quantization effects for $$-\Delta u=u(1-| u|^ 2)$$ in $$\mathbb{R}^ 2$$. Zbl 0809.35019
Brézis, Haïm; Merle, Frank; Rivière, Tristan
1994
Vortices for a variational problem related to superconductivity. Zbl 0842.35119
Bethuel, Fabrice; Rivière, Tristan
1995
Partial regularity for harmonic maps and related problems. Zbl 1144.58011
Rivière, Tristan; Struwe, Michael
2008
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents. Zbl 0939.35056
Lin, Fanghua; Rivière, Tristan
1999
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps. Zbl 1219.58004
Da Lio, Francesca; Rivière, Tristan
2011
A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013
Lin, Fang-Hua; Rivière, Tristan
2001
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
2002
Weak density of smooth maps for the Dirichlet energy between manifolds. Zbl 1028.58008
2003
Conservation laws for fourth order systems in four dimensions. Zbl 1139.35328
Lamm, Tobias; Rivière, Tristan
2008
Limiting domain wall energy for a problem related to micromagnetics. Zbl 1031.35142
Rivière, Tristan; Serfaty, Sylvia
2001
A partial regularity result for a class of stationary Yang-Mills fields in high dimension. Zbl 1127.35317
Meyer, Yves; Rivière, Tristan
2003
Dense subsets of $$H^{1/2}(S^2,S^1)$$. Zbl 0960.35022
Rivière, Tristan
2000
Lines vortices in the $$U(1)$$-Higgs model. Zbl 0874.53019
Riviere, Tristan
1996
Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. Zbl 1094.35125
Rivière, Tristan; Serfaty, Sylvia
2003
Variational principles for immersed surfaces with $$L^2$$-bounded second fundamental form. Zbl 1304.49095
Rivière, Tristan
2014
Resolutions of the prescribed volume form equation. Zbl 0857.35025
Rivière, Tristan; Ye, Dong
1996
Energy quantization for Willmore surfaces and applications. Zbl 1325.53014
Bernard, Yann; Rivière, Tristan
2014
Energy quantization for harmonic maps. Zbl 1014.58008
Lin, Fang-Hua; Rivière, Tristan
2002
Connecting topological Hopf singularities. Zbl 1150.58004
Hardt, Robert; Riviére, Tristan
2003
Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007
Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan
2015
Willmore spheres in compact Riemannian manifolds. Zbl 1294.30046
Mondino, Andrea; Rivière, Tristan
2013
Lipschitz conformal immersions from degenerating Riemann surfaces with $$L^2$$-bounded second fundamental forms. Zbl 1304.30033
Rivière, Tristan
2013
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
2009
Minimizing fibrations and $$p$$-harmonic maps in homotopy classes from $$S^3$$ into $$S^2$$. Zbl 0914.58010
Rivière, Tristan
1998
Uniqueness of tangent cones for semicalibrated integral 2-cycles. Zbl 1195.53064
Pumberger, David; Rivière, Tristan
2010
Interpolation spaces and energy quantization for Yang-Mills fields. Zbl 1018.58006
Rivière, Tristan
2002
A quantization property for moving line vortices. Zbl 1029.35127
Lin, Fang-Hua; Rivière, Tristan
2001
A sharp nonlinear Gagliardo-Nirenberg-type estimate and applications to the regularity of elliptic systems. Zbl 1157.35376
Rivière, Tristan; Strzelecki, Paweł
2005
The singular set of $$J$$-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
2004
Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications. Zbl 1295.35204
Laurain, Paul; Rivière, Tristan
2014
Singularity removability at branch points for Willmore surfaces. Zbl 1304.30032
Bernard, Yann; Rivière, Tristan
2013
Connecting rational homotopy type singularities. Zbl 1148.58003
Hardt, Robert; Rivière, Tristan
2008
Asymptotic analysis for the Ginzburg-Landau equations. Zbl 0939.35199
Rivière, Tristan
1999
Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint. Zbl 1292.49039
Keller, Laura Gioia Andrea; Mondino, Andrea; Rivière, Tristan
2014
The rectifiability of entropy measures in one space dimension. Zbl 1037.35044
De Lellis, Camillo; Rivière, Tristan
2003
Weak immersions of surfaces with $$L^2$$-bounded second fundamental form. Zbl 1359.53002
Riviére, Tristan
2016
Line vortices in Higgs abelian model. (Lignes de tourbillon dans le modèle abélien de Higgs.) Zbl 0840.35109
Rivière, Tristan
1995
The regularity of special Legendrian integral cycles. Zbl 1242.49093
Bellettini, Costante; Rivière, Tristan
2012
Weak closure of singular Abelian $$L ^{p }$$-bundles in 3 dimensions. Zbl 1242.58009
Petrache, Mircea; Rivière, Tristan
2011
Energy quantization for biharmonic maps. Zbl 1275.35098
Laurain, Paul; Rivière, Tristan
2013
Sequences of smooth global isothermic immersions. Zbl 1279.58010
Rivière, Tristan
2013
A viscosity method in the min-max theory of minimal surfaces. Zbl 1387.53084
Rivière, Tristan
2017
Local Palais-Smale sequences for the Willmore functional. Zbl 1245.53051
Bernard, Yann; Riviere, Tristan
2011
High-dimensional helicities and rigidity of linked foliations. Zbl 1045.57017
Rivière, Tristan
2002
On the rectifiability of defect measures arising in a micromagnetics model. Zbl 1055.49008
Ambrosio, Luigi; Kirchheim, Bernd; Lecumberry, Myriam; Rivière, Tristan
2002
A viscosity method for the min-max construction of closed geodesics. Zbl 1353.49006
Michelat, Alexis; Rivière, Tristan
2016
Immersed spheres of finite total curvature into manifolds. Zbl 1306.53049
Mondino, Andrea; Rivière, Tristan
2014
Towards Jaffe and Taubes conjectures in the strongly repulsive limit. Zbl 1130.35340
Rivière, Tristan
2002
Everywhere discontinuous harmonic maps from $$B^ 3$$ into $$S^ 2$$. (Applications harmoniques de $$B^ 3$$ dans $$S^ 2$$ partout discontinues.) Zbl 0780.49030
Rivière, Tristan
1992
A viscosity property of minimizing micromagnetic configurations. Zbl 1121.35309
Ambrosio, Luigi; Lecumberry, Myriam; Rivière, Tristan
2003
Singular bundles with bounded $$L^2$$-curvatures. Zbl 1197.58005
Kessel, Thiemo; Rivière, Tristan
2008
The role of conservation laws in the analysis of conformally invariant problems. Zbl 1303.58004
Rivière, Tristan
2012
The resolution of the Yang-Mills plateau problem in super-critical dimensions. Zbl 1371.58014
Petrache, Mircea; Rivière, Tristan
2017
Sub-criticality of Schrödinger systems with antisymmetric potentials. Zbl 1210.35072
Rivière, Tristan
2011
A resolution of the Poisson problem for elastic plates. Zbl 1439.49076
Da Lio, Francesca; Palmurella, Francesco; Rivière, Tristan
2020
Global gauges and global extensions in optimal spaces. Zbl 1328.46034
Petrache, Mircea; Rivière, Tristan
2014
A resolution of the prescribed volume form equation. (Une résolution de l’équation à forme volume prescrite.) Zbl 0806.35019
Rivière, Tristan; Ye, Dong
1994
Asymptotic analysis of minimizing harmonic maps of regions bounded by two circles. Zbl 0753.49004
Rivière, Tristan; Shafrir, Itaï
1991
A lower-epiperimetric inequality for area-minimizing surfaces. Zbl 1070.49024
Rivière, Tristan
2004
Regularity for micromagnetic configurations having zero jump energy. Zbl 1021.35023
Lecumberry, Myriam; Rivière, Tristan
2002
The regularity of conformal target harmonic maps. Zbl 1380.58013
Rivière, Tristan
2017
A remark on the use of differential forms for the Skyrme problem. Zbl 0921.58011
Rivière, Tristan
1998
The regularity of parametrized integer stationary varifolds in two dimensions. Zbl 07274494
Pigati, Alessandro; Rivière, Tristan
2020
A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension. Zbl 1468.49045
Pigati, Alessandro; Rivière, Tristan
2020
Applications harmoniques de $$B^ 3$$ dans $$S^ 2$$ ayant une ligne de singularités. (Harmonic maps from $$B^ 3$$ into $$S^ 2$$ having a line of singularities). Zbl 0760.49025
Rivière, Tristan
1991
Critical weak immersed surfaces within sub-manifolds of the Teichmüller space. Zbl 1329.49090
Rivière, Tristan
2015
The variations of Yang-Mills Lagrangian. Zbl 1460.58010
Rivière, Tristan
2020
Optimal estimate for the gradient of Green’s function on degenerating surfaces and applications. Zbl 1400.30049
Laurain, Paul; Rivière, Tristan
2018
Energy quantization of Willmore surfaces at the boundary of the moduli space. Zbl 1401.53009
Laurain, Paul; Rivière, Tristan
2018
Willmore minmax surfaces and the cost of the sphere eversion. Zbl 1461.49010
Rivière, Tristan
2021
Bubbling and regularity issues in geometric nonlinear analysis. Zbl 1136.35334
Rivière, T.
2002
The role of integrability by compensation in conformal geometric analysis. Zbl 1280.53005
Rivière, Tristan
2011
Ginzburg-Landau vortices: the static model. Zbl 1027.35131
Rivière, Tristan
2002
Approximating $$J$$-holomorphic curves by holomorphic ones. Zbl 1067.32020
Riviére, Tristan
2004
Topological singular sets in functional spaces between manifolds. (Ensembles singuliers topologiques dans les espaces fonctionnels entre variétés.) Zbl 1057.58003
Hardt, Robert; Rivière, Tristan
2001
A minimality property for entropic solutions to scalar conservation laws in $$1 + 1$$ dimensions. Zbl 1221.35230
Blaser, Michael; Rivière, Tristan
2010
Critical chirality in elliptic systems. Zbl 1479.35332
Da Lio, Francesca; Rivière, Tristan
2021
Sequential weak approximation for maps of finite Hessian energy. Zbl 1455.46035
Hardt, Robert; Rivière, Tristan
2015
A frame energy for immersed tori and applications to regular homotopy classes. Zbl 1356.53008
Mondino, Andrea; Rivière, Tristan
2016
Vorticity in Ginzburg-Landau models for supraconductivity. (Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité.) Zbl 0876.35112
Bethuel, F.; Rivière, T.
1994
Exploring the unknown: the work of Louis Nirenberg on partial differential equations. Zbl 1338.35006
Rivière, Tristan
2016
Lower semi-continuity of the index in the viscosity method for minimal surfaces. Zbl 1478.53110
Rivière, Tristan
2021
Uniform regularity results for critical and subcritical surface energies. Zbl 1445.58007
Bernard, Yann; Rivière, Tristan
2019
Three-commutators revisited. Zbl 1452.35238
Da Lio, Francesca; Rivière, Tristan
2020
Willmore minmax surfaces and the cost of the sphere eversion. Zbl 1461.49010
Rivière, Tristan
2021
Critical chirality in elliptic systems. Zbl 1479.35332
Da Lio, Francesca; Rivière, Tristan
2021
Lower semi-continuity of the index in the viscosity method for minimal surfaces. Zbl 1478.53110
Rivière, Tristan
2021
A resolution of the Poisson problem for elastic plates. Zbl 1439.49076
Da Lio, Francesca; Palmurella, Francesco; Rivière, Tristan
2020
The regularity of parametrized integer stationary varifolds in two dimensions. Zbl 07274494
Pigati, Alessandro; Rivière, Tristan
2020
A proof of the multiplicity 1 conjecture for min-max minimal surfaces in arbitrary codimension. Zbl 1468.49045
Pigati, Alessandro; Rivière, Tristan
2020
The variations of Yang-Mills Lagrangian. Zbl 1460.58010
Rivière, Tristan
2020
Three-commutators revisited. Zbl 1452.35238
Da Lio, Francesca; Rivière, Tristan
2020
Uniform regularity results for critical and subcritical surface energies. Zbl 1445.58007
Bernard, Yann; Rivière, Tristan
2019
Optimal estimate for the gradient of Green’s function on degenerating surfaces and applications. Zbl 1400.30049
Laurain, Paul; Rivière, Tristan
2018
Energy quantization of Willmore surfaces at the boundary of the moduli space. Zbl 1401.53009
Laurain, Paul; Rivière, Tristan
2018
A viscosity method in the min-max theory of minimal surfaces. Zbl 1387.53084
Rivière, Tristan
2017
The resolution of the Yang-Mills plateau problem in super-critical dimensions. Zbl 1371.58014
Petrache, Mircea; Rivière, Tristan
2017
The regularity of conformal target harmonic maps. Zbl 1380.58013
Rivière, Tristan
2017
Weak immersions of surfaces with $$L^2$$-bounded second fundamental form. Zbl 1359.53002
Riviére, Tristan
2016
A viscosity method for the min-max construction of closed geodesics. Zbl 1353.49006
Michelat, Alexis; Rivière, Tristan
2016
A frame energy for immersed tori and applications to regular homotopy classes. Zbl 1356.53008
Mondino, Andrea; Rivière, Tristan
2016
Exploring the unknown: the work of Louis Nirenberg on partial differential equations. Zbl 1338.35006
Rivière, Tristan
2016
Blow-up analysis of a nonlocal Liouville-type equation. Zbl 1323.30007
Da Lio, Francesca; Martinazzi, Luca; Rivière, Tristan
2015
Critical weak immersed surfaces within sub-manifolds of the Teichmüller space. Zbl 1329.49090
Rivière, Tristan
2015
Sequential weak approximation for maps of finite Hessian energy. Zbl 1455.46035
Hardt, Robert; Rivière, Tristan
2015
Variational principles for immersed surfaces with $$L^2$$-bounded second fundamental form. Zbl 1304.49095
Rivière, Tristan
2014
Energy quantization for Willmore surfaces and applications. Zbl 1325.53014
Bernard, Yann; Rivière, Tristan
2014
Angular energy quantization for linear elliptic systems with antisymmetric potentials and applications. Zbl 1295.35204
Laurain, Paul; Rivière, Tristan
2014
Embedded surfaces of arbitrary genus minimizing the Willmore energy under isoperimetric constraint. Zbl 1292.49039
Keller, Laura Gioia Andrea; Mondino, Andrea; Rivière, Tristan
2014
Immersed spheres of finite total curvature into manifolds. Zbl 1306.53049
Mondino, Andrea; Rivière, Tristan
2014
Global gauges and global extensions in optimal spaces. Zbl 1328.46034
Petrache, Mircea; Rivière, Tristan
2014
Willmore spheres in compact Riemannian manifolds. Zbl 1294.30046
Mondino, Andrea; Rivière, Tristan
2013
Lipschitz conformal immersions from degenerating Riemann surfaces with $$L^2$$-bounded second fundamental forms. Zbl 1304.30033
Rivière, Tristan
2013
Singularity removability at branch points for Willmore surfaces. Zbl 1304.30032
Bernard, Yann; Rivière, Tristan
2013
Energy quantization for biharmonic maps. Zbl 1275.35098
Laurain, Paul; Rivière, Tristan
2013
Sequences of smooth global isothermic immersions. Zbl 1279.58010
Rivière, Tristan
2013
The regularity of special Legendrian integral cycles. Zbl 1242.49093
Bellettini, Costante; Rivière, Tristan
2012
The role of conservation laws in the analysis of conformally invariant problems. Zbl 1303.58004
Rivière, Tristan
2012
Three-term commutator estimates and the regularity of $$^{1}/_{2}$$-harmonic maps into spheres. Zbl 1241.35035
Da Lio, Francesca; Rivière, Tristan
2011
Sub-criticality of non-local Schrödinger systems with antisymmetric potentials and applications to half-harmonic maps. Zbl 1219.58004
Da Lio, Francesca; Rivière, Tristan
2011
Weak closure of singular Abelian $$L ^{p }$$-bundles in 3 dimensions. Zbl 1242.58009
Petrache, Mircea; Rivière, Tristan
2011
Local Palais-Smale sequences for the Willmore functional. Zbl 1245.53051
Bernard, Yann; Riviere, Tristan
2011
Sub-criticality of Schrödinger systems with antisymmetric potentials. Zbl 1210.35072
Rivière, Tristan
2011
The role of integrability by compensation in conformal geometric analysis. Zbl 1280.53005
Rivière, Tristan
2011
Uniqueness of tangent cones for semicalibrated integral 2-cycles. Zbl 1195.53064
Pumberger, David; Rivière, Tristan
2010
A minimality property for entropic solutions to scalar conservation laws in $$1 + 1$$ dimensions. Zbl 1221.35230
Blaser, Michael; Rivière, Tristan
2010
The singular set of 1-1 integral currents. Zbl 1182.32010
Rivière, Tristan; Tian, Gang
2009
Analysis aspects of Willmore surfaces. Zbl 1155.53031
Rivière, Tristan
2008
Partial regularity for harmonic maps and related problems. Zbl 1144.58011
Rivière, Tristan; Struwe, Michael
2008
Conservation laws for fourth order systems in four dimensions. Zbl 1139.35328
Lamm, Tobias; Rivière, Tristan
2008
Connecting rational homotopy type singularities. Zbl 1148.58003
Hardt, Robert; Rivière, Tristan
2008
Singular bundles with bounded $$L^2$$-curvatures. Zbl 1197.58005
Kessel, Thiemo; Rivière, Tristan
2008
Conservation laws for conformally invariant variational problems. Zbl 1128.58010
Rivière, Tristan
2007
A sharp nonlinear Gagliardo-Nirenberg-type estimate and applications to the regularity of elliptic systems. Zbl 1157.35376
Rivière, Tristan; Strzelecki, Paweł
2005
The singular set of $$J$$-holomorphic maps into projective algebraic varieties. Zbl 1051.32015
Rivière, Tristan; Tian, Gang
2004
A lower-epiperimetric inequality for area-minimizing surfaces. Zbl 1070.49024
Rivière, Tristan
2004
Approximating $$J$$-holomorphic curves by holomorphic ones. Zbl 1067.32020
Riviére, Tristan
2004
Weak density of smooth maps for the Dirichlet energy between manifolds. Zbl 1028.58008
2003
A partial regularity result for a class of stationary Yang-Mills fields in high dimension. Zbl 1127.35317
Meyer, Yves; Rivière, Tristan
2003
Compactness, kinetic formulation, and entropies for a problem related to micromagnetics. Zbl 1094.35125
Rivière, Tristan; Serfaty, Sylvia
2003
Connecting topological Hopf singularities. Zbl 1150.58004
Hardt, Robert; Riviére, Tristan
2003
The rectifiability of entropy measures in one space dimension. Zbl 1037.35044
De Lellis, Camillo; Rivière, Tristan
2003
A viscosity property of minimizing micromagnetic configurations. Zbl 1121.35309
Ambrosio, Luigi; Lecumberry, Myriam; Rivière, Tristan
2003
Néel and cross-tie wall energies for planar micromagnetic configurations. Zbl 1092.82047
Alouges, François; Rivière, Tristan; Serfaty, Sylvia
2002
Energy quantization for harmonic maps. Zbl 1014.58008
Lin, Fang-Hua; Rivière, Tristan
2002
Interpolation spaces and energy quantization for Yang-Mills fields. Zbl 1018.58006
Rivière, Tristan
2002
High-dimensional helicities and rigidity of linked foliations. Zbl 1045.57017
Rivière, Tristan
2002
On the rectifiability of defect measures arising in a micromagnetics model. Zbl 1055.49008
Ambrosio, Luigi; Kirchheim, Bernd; Lecumberry, Myriam; Rivière, Tristan
2002
Towards Jaffe and Taubes conjectures in the strongly repulsive limit. Zbl 1130.35340
Rivière, Tristan
2002
Regularity for micromagnetic configurations having zero jump energy. Zbl 1021.35023
Lecumberry, Myriam; Rivière, Tristan
2002
Bubbling and regularity issues in geometric nonlinear analysis. Zbl 1136.35334
Rivière, T.
2002
Ginzburg-Landau vortices: the static model. Zbl 1027.35131
Rivière, Tristan
2002
A quantization property for static Ginzburg-Landau vortices. Zbl 1033.58013
Lin, Fang-Hua; Rivière, Tristan
2001
Limiting domain wall energy for a problem related to micromagnetics. Zbl 1031.35142
Rivière, Tristan; Serfaty, Sylvia
2001
A quantization property for moving line vortices. Zbl 1029.35127
Lin, Fang-Hua; Rivière, Tristan
2001
Topological singular sets in functional spaces between manifolds. (Ensembles singuliers topologiques dans les espaces fonctionnels entre variétés.) Zbl 1057.58003
Hardt, Robert; Rivière, Tristan
2001
Linear and nonlinear aspects of vortices. The Ginzburg-Landau model. Zbl 0948.35003
Pacard, Frank; Rivière, Tristan
2000
Dense subsets of $$H^{1/2}(S^2,S^1)$$. Zbl 0960.35022
Rivière, Tristan
2000
Complex Ginzburg-Landau equations in high dimensions and codimension two area minimizing currents. Zbl 0939.35056
Lin, Fanghua; Rivière, Tristan
1999
Asymptotic analysis for the Ginzburg-Landau equations. Zbl 0939.35199
Rivière, Tristan
1999
Minimizing fibrations and $$p$$-harmonic maps in homotopy classes from $$S^3$$ into $$S^2$$. Zbl 0914.58010
Rivière, Tristan
1998
A remark on the use of differential forms for the Skyrme problem. Zbl 0921.58011
Rivière, Tristan
1998
Lines vortices in the $$U(1)$$-Higgs model. Zbl 0874.53019
Riviere, Tristan
1996
Resolutions of the prescribed volume form equation. Zbl 0857.35025
Rivière, Tristan; Ye, Dong
1996
Everywhere discontinuous harmonic maps into spheres. Zbl 0898.58011
Rivière, Tristan
1995
Vortices for a variational problem related to superconductivity. Zbl 0842.35119
Bethuel, Fabrice; Rivière, Tristan
1995
Line vortices in Higgs abelian model. (Lignes de tourbillon dans le modèle abélien de Higgs.) Zbl 0840.35109
Rivière, Tristan
1995
Quantization effects for $$-\Delta u=u(1-| u|^ 2)$$ in $$\mathbb{R}^ 2$$. Zbl 0809.35019
Brézis, Haïm; Merle, Frank; Rivière, Tristan
1994
A resolution of the prescribed volume form equation. (Une résolution de l’équation à forme volume prescrite.) Zbl 0806.35019
Rivière, Tristan; Ye, Dong
1994
Vorticity in Ginzburg-Landau models for supraconductivity. (Vorticité dans les modèles de Ginzburg-Landau pour la supraconductivité.) Zbl 0876.35112
Bethuel, F.; Rivière, T.
1994
Everywhere discontinuous harmonic maps from $$B^ 3$$ into $$S^ 2$$. (Applications harmoniques de $$B^ 3$$ dans $$S^ 2$$ partout discontinues.) Zbl 0780.49030
Rivière, Tristan
1992
Asymptotic analysis of minimizing harmonic maps of regions bounded by two circles. Zbl 0753.49004
Rivière, Tristan; Shafrir, Itaï
1991
Applications harmoniques de $$B^ 3$$ dans $$S^ 2$$ ayant une ligne de singularités. (Harmonic maps from $$B^ 3$$ into $$S^ 2$$ having a line of singularities). Zbl 0760.49025
Rivière, Tristan
1991
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### Cited by 565 Authors

 43 Rivière, Tristan 20 Schikorra, Armin 15 Ignat, Radu 15 Zhu, Miaomiao 14 Lamm, Tobias 14 Liu, Zuhan 14 Moser, Roger 13 Bethuel, Fabrice 13 Da Lio, Francesca 13 Serfaty, Sylvia 12 Mironescu, Petru 12 Orlandi, Giandomenico 12 Wang, Changyou 11 De Lellis, Camillo 11 Sandier, Etienne 10 Lin, Fang Hua 9 Brézis, Haïm 9 Jerrard, Robert Leon 9 Jost, Jürgen 9 Lei, Yutian 9 Mucci, Domenico 9 Van Schaftingen, Jean 8 Mondino, Andrea 8 Sire, Yannick 8 Wei, Juncheng 7 Alama, Stan 7 Bronsard, Lia 7 Giaquinta, Mariano 7 Isobe, Takeshi 7 Marconi, Elio 7 Martinazzi, Luca 7 Millot, Vincent 7 Spadaro, Emanuele Nunzio 6 Bousquet, Pierre 6 Canevari, Giacomo 6 Dall’Acqua, Anna 6 Grunau, Hans-Christoph 6 Hyder, Ali 6 Liu, Lei 6 Mingione, Giuseppe 6 Otto, Felix 6 Palatucci, Giampiero 6 Pisante, Adriano 6 Scheven, Christoph 6 Shafrir, Itai 6 Smets, Didier 6 Spirn, Daniel P. 6 Spolaor, Luca 6 Strzelecki, Paweł 5 Ambrosio, Luigi 5 Bellettini, Costante 5 Bergner, Matthias 5 Kurzke, Matthias W. 5 Laurain, Paul 5 Zarnescu, Arghir Dani 4 Aftalion, Amandine 4 Alouges, François 4 Bernard, Yann 4 Bourgain, Jean 4 Chen, Qinghua 4 Deckelnick, Klaus 4 Fröhlich, Steffen 4 Golovaty, Dmitry 4 Guo, Changyu 4 Hardt, Robert M. 4 Hong, Minchun 4 Hornung, Peter 4 Kim, Kwang Ik 4 Komendarczyk, Rafal 4 Kristensen, Jan 4 Kuusi, Tuomo 4 Lamy, Xavier 4 Marques, Fernando Codá 4 Mazowiecka, Katarzyna Ewa 4 Ndiaye, Cheikh Birahim 4 Ponce, Augusto C. 4 Rodiac, Rémy 4 Schatzle, Reiner 4 Sternberg, Peter J. 4 Wu, Ruijun 4 Xiang, Changlin 4 Yin, Hao 3 Ai, Wanjun 3 Angelsberg, Gilles 3 Ao, Weiwei 3 Arkhipova, Arina A. Arkhipova 3 Arroja Neves, André 3 Aydi, Hassen Mohamed 3 Beaulieu, Anne 3 Berlyand, Leonid V. 3 Bianchini, Stefano 3 Branding, Volker 3 Carbou, Gilles 3 Cheng, Da Rong 3 Dacorogna, Bernard 3 di Castro, Agnese 3 Ding, Shijin 3 Duzaar, Frank 3 Fardoun, Ali 3 Farina, Alberto ...and 465 more Authors
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### Cited in 143 Serials

 79 Calculus of Variations and Partial Differential Equations 39 Journal of Functional Analysis 36 Archive for Rational Mechanics and Analysis 27 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 22 Communications in Partial Differential Equations 20 The Journal of Geometric Analysis 18 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 16 Advances in Mathematics 14 Journal of Differential Equations 14 Journal de Mathématiques Pures et Appliquées. Neuvième Série 13 Communications in Mathematical Physics 13 Annals of Global Analysis and Geometry 13 Advances in Calculus of Variations 12 Communications on Pure and Applied Mathematics 12 Transactions of the American Mathematical Society 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 Communications in Contemporary Mathematics 12 Comptes Rendus. Mathématique. Académie des Sciences, Paris 11 Journal of Mathematical Analysis and Applications 11 Mathematische Zeitschrift 10 Inventiones Mathematicae 10 Journal of the European Mathematical Society (JEMS) 9 Mathematische Annalen 8 Duke Mathematical Journal 8 Manuscripta Mathematica 8 Proceedings of the American Mathematical Society 8 Journal of Mathematical Sciences (New York) 7 Journal of Geometry and Physics 7 SIAM Journal on Mathematical Analysis 6 Journal d’Analyse Mathématique 6 Acta Mathematica 5 Reviews in Mathematical Physics 5 Geometric and Functional Analysis. GAFA 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 5 Bulletin of the American Mathematical Society. New Series 5 Annals of Mathematics. Second Series 5 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 4 Ergodic Theory and Dynamical Systems 4 Zeitschrift für Analysis und ihre Anwendungen 4 Science in China. Series A 4 Discrete and Continuous Dynamical Systems 4 Analysis (München) 4 Acta Mathematica Sinica. English Series 4 Journal of Fixed Point Theory and Applications 4 Analysis & PDE 3 Journal of Mathematical Physics 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Journal für die Reine und Angewandte Mathematik 3 Journal of the American Mathematical Society 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Applied Mathematics. Series B (English Edition) 3 NoDEA. Nonlinear Differential Equations and Applications 3 Vietnam Journal of Mathematics 3 Advanced Nonlinear Studies 3 Communications on Pure and Applied Analysis 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Letters in Mathematical Physics 2 Mathematics of Computation 2 Annales de l’Institut Fourier 2 Geometriae Dedicata 2 Publications Mathématiques 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Geometry 2 Journal of the Korean Mathematical Society 2 Numerische Mathematik 2 Pacific Journal of Mathematics 2 Ricerche di Matematica 2 Chinese Annals of Mathematics. Series B 2 Acta Applicandae Mathematicae 2 Physica D 2 Applied Mathematics Letters 2 Asymptotic Analysis 2 Differential Geometry and its Applications 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 St. Petersburg Mathematical Journal 2 Geometry & Topology 2 Annales Henri Poincaré 2 Nonlinear Analysis. Real World Applications 2 Science China. Mathematics 2 Séminaire Laurent Schwartz. EDP et Applications 2 Journal of Elliptic and Parabolic Equations 1 Bulletin of the Australian Mathematical Society 1 Inverse Problems 1 Journal of Statistical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Rocky Mountain Journal of Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 The Annals of Probability 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Applied Mathematics and Computation 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Czechoslovak Mathematical Journal 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nagoya Mathematical Journal 1 Results in Mathematics 1 Revista Matemática Iberoamericana 1 Journal of Scientific Computing ...and 43 more Serials
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### Cited in 42 Fields

 430 Partial differential equations (35-XX) 237 Global analysis, analysis on manifolds (58-XX) 189 Differential geometry (53-XX) 182 Calculus of variations and optimal control; optimization (49-XX) 79 Statistical mechanics, structure of matter (82-XX) 50 Functional analysis (46-XX) 30 Quantum theory (81-XX) 26 Fluid mechanics (76-XX) 23 Operator theory (47-XX) 23 Mechanics of deformable solids (74-XX) 21 Optics, electromagnetic theory (78-XX) 18 Real functions (26-XX) 17 Manifolds and cell complexes (57-XX) 14 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 14 Algebraic topology (55-XX) 13 Harmonic analysis on Euclidean spaces (42-XX) 12 Numerical analysis (65-XX) 11 Measure and integration (28-XX) 9 Several complex variables and analytic spaces (32-XX) 7 Functions of a complex variable (30-XX) 6 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Mechanics of particles and systems (70-XX) 4 Probability theory and stochastic processes (60-XX) 4 Biology and other natural sciences (92-XX) 3 General topology (54-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Operations research, mathematical programming (90-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Information and communication theory, circuits (94-XX)

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