English

Regularity of capillarity droplets with obstacle

Analysis of PDEs 2022-05-31 v1

Abstract

In this paper we study the regularity properties of Λ\Lambda-minimizers of the capillarity energy in a half space with the wet part constrained to be confined inside a given planar region. Applications to a model for nanowire growth are also provided.

Keywords

Cite

@article{arxiv.2205.15272,
  title  = {Regularity of capillarity droplets with obstacle},
  author = {Guido De Philippis and Nicola Fusco and Massimiliano Morini},
  journal= {arXiv preprint arXiv:2205.15272},
  year   = {2022}
}