Existence and non-existence results for minimizers of the Ginzburg–Landau energy with prescribed degrees

DOI10.1142/S0219199716500176zbMath1354.35038arXiv1504.00845OpenAlexW2964350986MaRDI QIDQ3188191

Mickaël Dos Santos, Rémy Rodiac

Publication date: 17 August 2016

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.00845

zbMATH Keywords

Ginzburg-Landau energylack of compactnessprescribed degrees

Mathematics Subject Classification ID

Variational methods for elliptic systems (35J50) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (1)

Renormalized energies for unit-valued harmonic maps in multiply connected domains

Cites Work

• Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids
• Ginzburg-Landau minimizers with prescribed degrees. capacity of the domain and emergence of vortices
• Functional analysis, Sobolev spaces and partial differential equations
• Ginzburg--Landau minimizers with prescribed degrees: Dependence on domain.
• Elliptic partial differential equations of second order
• Size of planar domains and existence of minimizers of the Ginzburg-Landau energy with semistiff boundary conditions
• Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain
• The necessary conditions for the existence of local Ginzburg–Landau minimizers with prescribed degrees on the boundary
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