Some properties of solutions of the Ginzburg-Landau equation on an open set of \(\mathbb{R}^ 2\)

DOI10.1007/BF00275796zbMath0866.31002OpenAlexW2109754287MaRDI QIDQ676387

Rose-Marie Hervé, Michel Hervé

Publication date: 24 July 1997

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00275796

zbMATH Keywords

Dirichlet problemexistenceGinzburg-Landau equationboundary-value-solution mapestimate of the modulus of derivatives

Mathematics Subject Classification ID

Related Items (11)

Two results on entire solutions of Ginzburg-Landau system in higher dimensions ⋮ Comments on two notes by L. Ma and X. Xu ⋮ A Liouville theorem for the fractional Ginzburg-Landau equation ⋮ Unnamed Item ⋮ Boundedness for solutions of equations of the Chern-Simons-Higgs type ⋮ On the NLS dynamics for infinite energy vortex configurations on the plane ⋮ Locally minimising solutions of − Δu = u(1 − |u|²) in R² ⋮ A LIOUVILLE PROPERTY FOR GINZBURG–LANDAU SYSTEMS ⋮ Liouville type theorems for nonlinear elliptic equations on the whole space $\mathbb{R}^{N}$ ⋮ Remarks on an equation of the Ginzburg-Landau type ⋮ Liouville type theorems for nonlinear elliptic equations involving operator in divergence form

Cites Work

• Unnamed Item
• Asymptotics for the minimization of a Ginzburg-Landau functional
• Shooting method for vortex solutions of a complex-valued Ginzburg–Landau equation
• Spiral Waves in Reaction-Diffusion Equations

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