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On a Liouville-type theorem for the Ginzburg-Landau system

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Publication:2401346
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DOI10.1016/j.crma.2017.07.001zbMath1375.35060OpenAlexW2735317063MaRDI QIDQ2401346

Christos Sourdis

Publication date: 8 September 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.07.001


zbMATH Keywords

complex valued solutions


Mathematics Subject Classification ID

Ginzburg-Landau equations (35Q56) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53) Classical solutions to PDEs (35A09)


Related Items

Saddle-shaped positive solutions for elliptic systems with bistable nonlinearity ⋮ Rigidity of phase transitions for the fractional elliptic Gross-Pitaevskii system ⋮ One-dimensional symmetry of solutions to non-cooperative elliptic systems



Cites Work

  • Small energy Ginzburg-Landau minimizers in \(\mathbb{R}^3\)
  • Stable solutions of \(-\Delta u = f(u)\) in \(\mathbb R^N\)
  • Comments on two notes by L. Ma and X. Xu
  • Monotonicity and rigidity of solutions to some elliptic systems with uniform limits
  • Rigidity results for stable solutions of symmetric systems
  • Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions
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