Topological methods for the Ginzburg-Landau equations
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Publication:1385302
DOI10.1016/S0021-7824(98)80064-0zbMath0904.35023OpenAlexW2017510570MaRDI QIDQ1385302
Publication date: 26 January 1999
Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0021-7824(98)80064-0
Nonlinear boundary value problems for linear elliptic equations (35J65) Phase transitions (general) in equilibrium statistical mechanics (82B26) Variational methods for second-order elliptic equations (35J20)
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Cites Work
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- Boundary regularity and the Dirichlet problem for harmonic maps
- Min-max theory for the Yang-Mills-Higgs equations
- Infima of energy functionals in homotopy classes of mappings
- Harmonic maps with defects
- Configuration spaces of positive and negative particles
- Asymptotics for the minimization of a Ginzburg-Landau functional
- The existence of nonminimal solutions of the Yang-Mills-Higgs equations over \(\mathbb{R}^ 3\) with arbitrary positive coupling constant
- Erratum: ``On the asymptotic behavior of minimizers of the Ginzburg- Landau model in 2-dimensions
- The regularity problem for generalized harmonic maps into homogeneous spaces
- Local minimizers for the Ginzburg-Landau energy
- Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon
- Degree theory of BMO. I: Compact manifolds without boundaries
- Vortices for a variational problem related to superconductivity
- Solutions of Ginzburg-Landau equations and critical points of the renormalized energy
- Solutions to Yang—Mills equations that are not self-dual
- Some dynamical properties of Ginzburg-Landau vortices
- Ginzburg-Landau vortices