Local minimizers for the Ginzburg-Landau energy

DOI10.1007/PL00004324zbMath0943.35086OpenAlexW2037814368MaRDI QIDQ1808242

Patricio L. Felmer, Manuel A. del Pino

Publication date: 6 December 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004324

zbMATH Keywords

Ginzburg-Landau systemglobal minimizersGinzburg-Landau energylocal minimizerasymptotic singularitiesrenormalized energy functionals

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Methods involving semicontinuity and convergence; relaxation (49J45) Statistical mechanics of superconductors (82D55) NLS equations (nonlinear Schrödinger equations) (35Q55) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items

Critical points via \(\Gamma \)-convergence: general theory and applications, Variational reduction for Ginzburg-Landau vortices, Semi-classical states for nonlinear Schrödinger equations, The behavior of a Ginzburg-Landau minimizer near its zeroes, Topological methods for the Ginzburg-Landau equations, Vortex rings for the Gross-Pitaevskii equation in \(\mathbb R^3\), The numerical solutions for the energy-dissipative and mass-conservative Allen-Cahn equation, Two-dimensional ferronematics, canonical harmonic maps and minimal connections, Global Jacobian and \(\Gamma\)-convergence in a two-dimensional Ginzburg-Landau model for boundary vortices, Existence and multiplicity results for heteroclinic orbits of second order Hamiltonian systems, Minimization of a quasi-linear Ginzburg-Landau type energy, Ginzburg-Landau type energy with discontinuous constraint, Interacting helical vortex filaments in the three-dimensional Ginzburg-Landau equation, Minimizers of the Lawrence--Doniach energy in the small-coupling limit: Finite width samples in a parallel field