Local minimizers of the Ginzburg-Landau functional with prescribed degrees
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Publication:2391269
DOI10.1016/j.jfa.2009.02.023zbMath1166.49003arXiv1111.1571OpenAlexW4297909214MaRDI QIDQ2391269
Publication date: 24 July 2009
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.1571
Existence theories for optimal control problems involving partial differential equations (49J20) Variational methods for second-order elliptic equations (35J20)
Related Items (7)
Near boundary vortices in a magnetic Ginzburg-Landau model: their locations via tight energy bounds ⋮ Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids ⋮ Renormalized energies for unit-valued harmonic maps in multiply connected domains ⋮ Existence of critical points with semi-stiff boundary conditions for singular perturbation problems in simply connected planar domains ⋮ Size of planar domains and existence of minimizers of the Ginzburg-Landau energy with semistiff boundary conditions ⋮ Insertion of bubbles at the boundary for the Ginzburg-Landau functional ⋮ Minimax Critical Points in Ginzburg-Landau Problems with Semi-Stiff Boundary Conditions: Existence and Bubbling
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- Nonexistence of Ginzburg-Landau minimizers with prescribed degree on the boundary of a doubly connected domain
- On the minimizers of a Ginzburg-Landau-type energy when the boundary condition has zeros
- Ginzburg-Landau vortices
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