Some uniqueness results for minimisers of Ginzburg-Landau functionals

We prove the uniqueness of weak solutions to the critical defocusing wave equation in 3D under a local energy inequality condition.. Uniqueness was proved only under an

Alberto Farina, Petru Mironescu. Uniqueness of vortexless Ginzburg-Landau type minimizers in two dimensions.. We prove uniqueness of u whenever either the energy or the

Global minimizers for the Ginzburg-Landau functional below the first critical magnetic field.. Annales

conductivity, SIAM Review, Vol. CHEN, Nonsymmetric vortices for the Ginzberg-Landau equations on the bounded domain, J. PETERSON, Analysis and approximation of

we shall also show the existence of mountain-pass type critical points of (1.4) whenever the renormalized energy Wg has a critical point of the mountain-pass

Recently, the first and third authors and Nakamura [10] introduced a method based on appropriate Carleman estimates to prove a quantitative uniqueness for second-order

The first non existence result for global minimizers of the Ginzburg-Landau energy with prescribed degrees p 6 = q and pq > 0 was obtained by Mironescu in [Mir13] following the

281304(≃ 77%) unique solutions if we prescribe the two first squares on the diago- nal, 163387(≃ 45%) ones if we prescribe the upper left square, and 46147(≃ 12%) ones if we