On the second-order regularity of widely degenerate elliptic systems

Felice Iandoli; Berardino Sciunzi; Domenico Vuono

On the second-order regularity of widely degenerate elliptic systems

Analysis of PDEs 2026-07-14 v1

Authors: Felice Iandoli , Berardino Sciunzi , Domenico Vuono

Abstract

We prove local second-order regularity near the critical set for widely degenerate elliptic systems, and show that this degenerate region has zero Lebesgue measure provided the source term is non-vanishing.

Keywords

widely degenerate elliptic system second-order regularity critical set Lebesgue measure source term

Cite

@article{arxiv.2607.12543,
  title  = {On the second-order regularity of widely degenerate elliptic systems},
  author = {Felice Iandoli and Berardino Sciunzi and Domenico Vuono},
  journal= {arXiv preprint arXiv:2607.12543},
  year   = {2026}
}