Global minimizers for a \(p\)-Ginzburg-Landau-type energy in \(\mathbb R^2\)

DOI10.1016/j.jfa.2008.09.020zbMath1160.49003OpenAlexW2094464432MaRDI QIDQ1017708

Leonid Berlyand, Dmitry Golovaty, Yaniv Almog, Itai Shafrir

Publication date: 12 May 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.09.020

zbMATH Keywords

global minimizer\(p\)-Ginzburg-Landau energy

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)

Related Items

Symmetric vortices for two-component \(p\)-Ginzburg-Landau systems ⋮ Radially symmetric minimizers for a \(p\)-Ginzburg-Landau type energy in \({\mathbb R^2}\) ⋮ On the limit \(p\to\infty\) of global minimizers for a \(p\)-Ginzburg-Landau-type energy ⋮ Topological defects in the abelian Higgs model ⋮ Global analysis of a \(p\)-Ginzburg-Landau energy with radial structure ⋮ On the non-degeneracy of radial vortex solutions for a coupled Ginzburg-Landau system ⋮ Limiting behavior of minimizers ofp(x)-Ginzburg-Landau type ⋮ ENERGY CONCENTRATION PROPERTIES OF A p-GINZBURG–LANDAU MODEL

Cites Work

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• On uniqueness of vector-valued minimizers of the Ginzburg-Landau functional in annular domains
• Locally minimising solutions of − Δu = u(1 − |u|²) in R²
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