In the first part of this paper we prove that certain functionals of Ginzburg-Landau type for
maps from a domain in ℝn+ k into ℝk converge in a suitable sense to the area functional for …

The theory of Sobolev functions from a domain Ω⊂ RN with values in R (or Rk) is by now a
classical part of analysis, and has a wide range of applications in pure and applied …

In his pioneering work, Jacobi discovered two remarkable identities related to the Jacobian.
The first one asserts that the Jacobian has a divergence structure. The second one, that …

Let g: I=(0, 1)→ S1. If g∈ VMO, we may write g= eiϕ for some ϕ∈ VMO; this ϕ is unique
modulo 2π (see [13] and the earlier work [14]). There is no control of| ϕ| BMO in terms of| g …

In this paper we consider the XY (N-dimensional possibly anisotropic) spin-type model and,
by comparison with a Ginzburg–Landau-type functional, we perform a variational analysis in …

W*-Maps with Values into S'Haïm Brezis")(*), Petru Mironescu%) and Augusto C. Ponce (1)(2)
Page 80 http://dx. doi. org/10.1090/conm/368/06773 Contemporary Mathematics Volume 368 …

We study the dynamics of vortices in solutions of the Gross–Pitaevsky equation i u_t= Δ u+ 1
ε^ 2 u\left (1-| u|^ 2\right) in a bounded, simply connected domain Ω ⊂ R^ 2 with natural …

We prove a\varGamma Γ-convergence result for a class of Ginzburg–Landau type
functionals with N N-well potentials, where NN is a closed and (k-2)(k-2)-connected …

We construct local minimizers to the Ginzburg‐Landau energy in certain three‐dimensional
domains based on the asymptotic connection between the energy and the total length of …

In this paper, we review some basic topological properties of the space $ X= W^{s, p}(M; N)
$, where $ M $ and $ N $ are compact Riemannian manifold without boundary. More …