A survey on boundary regularity for the fractional p-Laplacian and its applications = Un’indagine sulla regolarità alla frontiera per il p-laplaciano frazionario e le sue applicazioni

Antonio Iannizzotto

2024-01-01

---

Abstract

We survey some recent regularity results for fractionalp-Laplacian ellipticequations, especially focusing on pure and weighted boundary H ̈older continuity of thesolutions of related Dirichlet problems. Then, we present some applications of such resultsto general nonlinear elliptic equations of fractional order, treated via either variational ortopological methods.