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1

mean curvature

Bethuel, Fabrice, Rey, Olivier

Journal:

Duke Mathematical Journal

Year:

1994

Language:

english

File:

PDF, 2.83 MB

english, 1994

2

Asymptotics for the minimization of a Ginzburg-Landau functional

Fabrice Bethuel, Haim Brezis, Frédéric Hélein

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1993

Language:

english

File:

PDF, 871 KB

english, 1993

3

The approximation problem for Sobolev maps between two manifolds

Fabrice Bethuel

Journal:

Acta Mathematica

Year:

1991

Language:

english

File:

PDF, 2.36 MB

english, 1991

4

Density of smooth functions between two manifolds in Sobolev spaces

Fabrice Bethuel, Xiaomin Zheng

Journal:

Journal of Functional Analysis

Year:

1988

Language:

english

File:

PDF, 724 KB

english, 1988

5

Regularity of minimizers of relaxed problems for harmonic maps

Fabrice Bethuel, Haïm Brezis

Journal:

Journal of Functional Analysis

Year:

1991

Language:

english

File:

PDF, 597 KB

english, 1991

6

On an open problem for Jacobians raised by Bourgain, Brezis and Mironescu

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Journal:

Comptes Rendus Mathematique

Year:

2003

File:

PDF, 92 KB

2003

7

Weak limits of Palais-Smale sequences for a class of critical functionals

Fabrice Bethuel

Journal:

Calculus of Variations and Partial Differential Equations

Year:

1993

Language:

english

File:

PDF, 1.66 MB

english, 1993

8

A remark on the instability of symmetric vortices with large coupling constant

Luis Almeida, Fabrice Bethuel, Yan Guo

Journal:

Communications on Pure and Applied Mathematics

Year:

1997

Language:

english

File:

PDF, 166 KB

english, 1997

9

Approximations in trace spaces defined between manifolds

Fabrice Bethuel

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1995

Language:

english

File:

PDF, 466 KB

english, 1995

10

Dynamics of multiple degree Ginzburg–Landau vortices

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Journal:

Comptes Rendus Mathematique

Year:

2006

Language:

french

File:

PDF, 120 KB

french, 2006

11

Slow motion for gradient systems with equal depth multiple-well potentials

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 429 KB

english, 2011

12

Topological methods for the Ginzburg-Landau equations

Luís Almeida, Fabrice Bethuel

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

1998

Language:

english

File:

PDF, 2.41 MB

english, 1998

13

Small energy solutions to the Ginzburg–Landau equation

Fabrice Bethuel, Haı̈m Brezis, Giandomenico Orlandi

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2000

File:

PDF, 167 KB

2000

14

W1,p estimates for solutions to the Ginzburg–Landau equation with boundary data in H1/2

Fabrice Bethuel, Jean Bourgain, Haı̈m Brezis, Giandomenico Orlandi

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 139 KB

french, 2001

15

Convergence of the parabolic Ginzburg–Landau equation to motion by mean curvature

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 95 KB

french, 2003

16

Aspects of vortex dynamics in Ginzburg-Landau models

Fabrice Bethuel, Giandomenico Orlandi, Didier Smets

Journal:

Year:

2007

Language:

english

File:

PDF, 97 KB

english, 2007

17

On the singular set of stationary harmonic maps

Fabrice Bethuel

Journal:

manuscripta mathematica

Year:

1993

Language:

english

File:

PDF, 853 KB

english, 1993

18

Quantization and Motion Law for Ginzburg–Landau Vortices

Didier Smets, Fabrice Bethuel, Giandomenico Orlandi

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 483 KB

english, 2007

19

Travelling Waves for the Gross-Pitaevskii Equation II

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut

Journal:

Communications in Mathematical Physics

Year:

2009

Language:

english

File:

PDF, 978 KB

english, 2009

20

On the linear wave regime of the Gross-Pitaevskii equation

Fabrice Béthuel, Raphaël Danchin, Didier Smets

Journal:

Journal d'Analyse Mathématique

Year:

2010

Language:

english

File:

PDF, 400 KB

english, 2010

21

The Jacobian, the square root and the set ∞

Fabrice Bethuel

Journal:

Journal of Mathematical Analysis and Applications

Year:

2009

Language:

english

File:

PDF, 300 KB

english, 2009

22

Symmetrization of dissipative-dispersive traveling waves for systems of conservation laws

Fabrice Bethuel, Bruno Despres, Didier Smets

Journal:

Physica D: Nonlinear Phenomena

Year:

2005

Language:

english

File:

PDF, 312 KB

english, 2005

23

On the Korteweg–de Vries Long-Wave Approximation of the Gross–Pitaevskii Equation II

Béthuel, Fabrice, Gravejat, Philippe, Saut, Jean-Claude, Smets, Didier

Journal:

Communications in Partial Differential Equations

Year:

2009

Language:

english

File:

PDF, 383 KB

english, 2009

24

Vortex rings for the Gross-Pitaevskii equation

Bethuel, Fabrice, Smets, Didier, Orlandi, G.

Journal:

Journal of the European Mathematical Society

Year:

2004

Language:

english

File:

PDF, 499 KB

english, 2004

25

A new obstruction to the extension problem for Sobolev maps between manifolds

Bethuel, Fabrice

Journal:

Journal of Fixed Point Theory and Applications

Year:

2014

Language:

english

File:

PDF, 412 KB

english, 2014

26

On the motion law of fronts for scalar reaction-diffusion equations with equal depth multiple-well potentials

Bethuel, Fabrice, Smets, Didier

Journal:

Chinese Annals of Mathematics, Series B

Year:

2017

Language:

english

File:

PDF, 737 KB

english, 2017

27

Vortices for a variational problem related to superconductivity

Bethuel, Fabrice, Rivière, Trista

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1995

Language:

english

File:

PDF, 622 KB

english, 1995

28

Orbital stability of the black soliton for the Gross-Pitaevskii equation

Bethuel, Fabrice, Gravejat, Phillipe, Saut, Jean-Claude, Smets, Didier

Journal:

Indiana University Mathematics Journal

Year:

2008

Language:

english

File:

PDF, 405 KB

english, 2008

29

On the NLS dynamics for infinite energy vortex configurations on the plane

Bethuel, Fabrice, Jerrard, Robert, Smets, Didier

Journal:

Revista Matemática Iberoamericana

Year:

2008

Language:

english

File:

PDF, 301 KB

english, 2008

30

A counterexample to the weak density of smooth maps between manifolds in Sobolev spaces

Bethuel, Fabrice

Journal:

Inventiones mathematicae

Year:

2019

Language:

english

File:

PDF, 4.35 MB

english, 2019

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