English

Constraint maps and free boundaries

Analysis of PDEs 2024-11-07 v1

Abstract

In this short expository note, we present a selection of classic and recent ideas in free boundary theory, with a focus on the vectorial case, referred to here as constraint maps. The note includes a brief historical perspective and highlights the latest heuristic-level results.

Cite

@article{arxiv.2411.04110,
  title  = {Constraint maps and free boundaries},
  author = {Alessio Figalli and André Guerra and Sunghan Kim and Henrik Shahgholian},
  journal= {arXiv preprint arXiv:2411.04110},
  year   = {2024}
}

Comments

12 pages, 12 figures

R2 v1 2026-06-28T19:50:27.749Z