English

Starshapedeness for fully-nonlinear equations in Carnot groups

Analysis of PDEs 2018-11-13 v2

Abstract

In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced. Our main result is Theorem 1.2 below.

Cite

@article{arxiv.1804.00765,
  title  = {Starshapedeness for fully-nonlinear equations in Carnot groups},
  author = {Federica Dragoni and Nicola Garofalo and Paolo Salani},
  journal= {arXiv preprint arXiv:1804.00765},
  year   = {2018}
}

Comments

Accepted for publication in the Journal of the London Mathematical Society

R2 v1 2026-06-23T01:12:10.258Z