A LIOUVILLE PROPERTY FOR GINZBURG–LANDAU SYSTEMS

DOI10.1142/S0219530507000985zbMath1221.35146OpenAlexW1995428961MaRDI QIDQ3595322

Alberto Farina

Publication date: 10 August 2007

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530507000985

zbMATH Keywords

nonlinear PDE of elliptic typeGinzburg-Landau systems

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

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• Some properties of solutions of the Ginzburg-Landau equation on an open set of \(\mathbb{R}^ 2\)
• Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
• Two results on entire solutions of Ginzburg-Landau system in higher dimensions
• A gradient bound and a liouville theorem for nonlinear poisson equations
• Elliptic Partial Differential Equations of Second Order