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Uniqueness of degree-one Ginzburg–Landau vortex in the unit ball in dimensions N ≥ 7

  • Published:2018-09 Issue:9 Volume:356 Page:922-926
  • ISSN:1631-073X
  • Container-title:Comptes Rendus Mathematique
  • language:en
  • Short-container-title:Comptes Rendus Mathematique

Author:

Ignat Radu,Nguyen Luc,Slastikov Valeriy,Zarnescu Arghir

Funder

ANR

Leverhulme

National Authority for Scientific Research and Innovation

Basque Government

Ministry of Economy and Competitiveness

Publisher

Elsevier BV

Subject

General Mathematics

Reference13 articles.

1. Ginzburg–Landau Vortices;Bethuel,1994

2. Symmetry in nonlinear PDE's;Brezis,1999

3. Harmonic maps with defects;Brezis;Commun. Math. Phys.,1986

4. Minimizing p-harmonic maps into spheres;Coron;J. Reine Angew. Math.,1989

5. Uniqueness results for an ODE related to a generalized Ginzburg–Landau model for liquid crystals;Ignat;SIAM J. Math. Anal.,2014

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1. Vortex sheet solutions for the Ginzburg–Landau system in cylinders: symmetry and global minimality;Calculus of Variations and Partial Differential Equations;2024-01-17

2. Some of my favorite open problems;Rendiconti Lincei - Matematica e Applicazioni;2023-11-16

3. Local minimality of $\mathbb{R}^N$-valued and $\mathbb{S}^N$-valued Ginzburg–Landau vortex solutions in the unit ball $B^N$;Annales de l'Institut Henri Poincaré C, Analyse non linéaire;2023-03-13

4. Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition;Journal de Mathématiques Pures et Appliquées;2021-12

5. Mathematical problems of nematic liquid crystals: between dynamical and stationary problems;Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences;2021-05-24
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