3 citations · 3 across the 8 of their papers we have counts for
4 papers · 1 filter
Integral curvature estimates and geodesic limits for stable abelian Higgs fields
Marco Badran, Marco A. M. Guaraco, Aria Halavati
We prove that, on closed three-manifolds, the limit interface of a sequence of stable abelian Higgs critical points with uniformly bounded energy is a finite union of smooth closed…
Stable solutions in the abelian Higgs model
Marco Badran
We classify entire stable solutions with quadratic energy growth in the -dimensional abelian Higgs model. More precisely, we prove that such solutions are holomorphic with respe…
A two-dimensional Allen-Cahn theory for interfaces with boundary
Marco Badran, Manuel del Pino, Marco A. M. Guaraco
We develop a two-dimensional Allen-Cahn theory for interfaces with boundary in the line-bundle framework introduced by Fröhlich and Struwe. The central new object is a model soluti…
Uniform small energy regularity for fractional geometric problems
Marco Badran, Giacomo Cozzi
We prove small energy regularity for a parabolic boundary reaction Ginzburg-Landau problem in the full range , answering a question posed by Hyder, Segatti, Sire and Wa…