Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 237, Issue 3, Pages 1421-1473Publisher
SPRINGER
DOI: 10.1007/s00205-020-01539-x
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Funding
- Isaac Newton Institute for Mathematical Sciences
- EPSRC [EP/K02390X/1, EP/R014604/1]
- ANR project [ANR-14-CE25-0009-01]
- Leverhulme [RPG-2018-438]
- Grant of the Romanian NationalAuthority for ScientificResearch and Innovation, CNCS-UEFISCDI [PN-II-RU-TE-2014-4-0657]
- Basque Government through the BERC 2018-2021 program
- Spanish Ministry of Economy and Competitiveness MINECO through BCAM Severo Ochoa excellence accreditation [SEV-2017-0718]
- Spanish Ministry of Economy and Competitiveness MINECO (AEI/FEDER, UE) [MTM2017-82184-R]
- DES-FLU
- Agence Nationale de la Recherche (ANR) [ANR-14-CE25-0009] Funding Source: Agence Nationale de la Recherche (ANR)
- EPSRC [EP/K02390X/1, EP/R014604/1] Funding Source: UKRI
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We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius R. We prove that under a symmetric boundary condition carrying a topological defect of degree k2 for some given even non-zero integer k, there are exactly two minimizers for all large enough R. We show that the minimizers do not inherit the full symmetry structure of the energy functional and the boundary data. We further show that there are at least five symmetric critical points.
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