Symmetry of local minimizers for the three-dimensional Ginzburg-Landau functional
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Publication:990218
DOI10.4171/JEMS/223zbMath1204.35156arXiv0804.0128MaRDI QIDQ990218
Adriano Pisante, Vincent Millot
Publication date: 6 September 2010
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0804.0128
Invariance and symmetry properties for PDEs on manifolds (58J70) Harmonic maps, etc. (58E20) Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Symmetries, invariants, etc. in context of PDEs (35B06) Ginzburg-Landau equations (35Q56)
Related Items (14)
Biaxial escape in nematics at low temperature ⋮ Uniqueness of degree-one Ginzburg-Landau vortex in the unit ball in dimensions \(N\geq 7\) ⋮ Stability of the vortex defect in the Landau-de Gennes theory for nematic liquid crystals ⋮ Two results on the equivariant Ginzburg-Landau vortex in arbitrary dimension ⋮ Vortex sheet solutions for the Ginzburg-Landau system in cylinders: symmetry and global minimality ⋮ Pattern formation in Landau-de Gennes theory ⋮ Vortex-filament solutions in the Ginzburg-Landau-Painlevé theory of phase transition ⋮ Small energy Ginzburg-Landau minimizers in \(\mathbb{R}^3\) ⋮ Uniaxial versus biaxial character of nematic equilibria in three dimensions ⋮ Stability of the melting hedgehog in the Landau-de Gennes theory of nematic liquid crystals ⋮ Symmetry in nonlinear PDEs: some open problems ⋮ The radial-hedgehog solution in Landau–de Gennes' theory for nematic liquid crystals ⋮ Uniform profile near the point defect of Landau-de Gennes model ⋮ Radial symmetry on three-dimensional shells in the Landau-de Gennes theory
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