Year: 2024
Type: article
Abstract: In this work, we study the higher differentiability of solutions to the inhomogeneous fractional p -Laplace equation under different regularity assumptions on the data. In the superquadratic case, we extend and sharpen several previous results, while in the subquadratic regime our results constitute completely novel developments even in the homogeneous case. In particular, in the local limit our results are consistent with well-known higher differentiability results for the standard inhomogeneous p -Laplace equation. All of our main results remain valid in the vectorial context of fractional p -Laplace systems.
Source: Mathematische Annalen
Institutions: Bielefeld University, Seoul National University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,990
Awards: G1288578048, G1658918567, G2442903552, GRK 2235: Das Reguläre im Irregulären: Analysis von singulären und zufälligen Systemen, G3054641961, G3883322829, G467907816, G8201362140, SFB 1283: Unsicherheit beherrschen und Zufall sowie Unordnung nutzen in Analysis, Stochastik und deren Anwendungen
OpenAlex ID: W4405656733