19 citations · 42 across the 4 of their papers we have counts for
4 papers
On the first critical field in the 3D Ginzburg-Landau model of superconductivity
Carlos Román
The Ginzburg-Landau model is a phenomenological description of superconductivity. A crucial feature of type-II superconductors is the occurrence of vortices, which appear above a c…
3D vortex approximation construction and -level estimates for the Ginzburg-Landau functional
Carlos Román
We provide a quantitative three-dimensional vortex approximation construction for the Ginzburg-Landau functional. This construction gives an approximation of vortex lines coupled t…
Interior bubbling solutions for the critical Lin-Ni-Takagi problem in dimension 3
Manuel del Pino, Monica Musso, Carlos Román +1
We consider the problem of finding positive solutions of the problem in a bounded, smooth domain in , under zero Neumann boundary conditions. H…
Large Conformal metrics with prescribed sign-changing Gauss curvature
Manuel del Pino, Carlos Román
Let be a two dimensional compact Riemannian manifold of genus . Let be a smooth function on such that …