Topological sectors for Ginzburg-Landau energies.
Dynamical instability of symmetric vortices.
Using the Maxwell-Higgs model, we prove that linearly unstable symmetric vortices in the Ginzburg-Landau theory are dynamically unstable in the H1 norm (which is the natural norm for the problem). In this work we study the dynamic instability of the radial solutions of the Ginzburg-Landau equations in R2 (...)
A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
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