English

Regularity Theory for Elliptic PDE

Analysis of PDEs 2023-01-05 v1

Abstract

This manuscript aims to provide a self-contained introduction to the regularity theory for elliptic PDE, focusing on the main ideas rather than proving all results in their greatest generality. It can be seen as a bridge between an elementary PDE course and more advanced textbooks. This is a draft of the book "Regularity Theory for Elliptic PDE". The final version has been published in Zurich Lectures in Advanced Mathematics, EMS Press, 2022.

Keywords

Cite

@article{arxiv.2301.01564,
  title  = {Regularity Theory for Elliptic PDE},
  author = {Xavier Fernández-Real and Xavier Ros-Oton},
  journal= {arXiv preprint arXiv:2301.01564},
  year   = {2023}
}
R2 v1 2026-06-28T08:02:22.885Z