Hölder regularity for fractional p-Laplace equations

We give an alternative proof for Hölder regularity for weak solutions of nonlocal elliptic quasilinear equations modelled on the fractional p -Laplacian where we replace the discrete De Giorgi iteration on a sequence of concentric balls by a continuous iteration. This work can be viewed as the nonlo...

Full description

Saved in:
Bibliographic Details
Published in:Proceedings of the Indian Academy of Sciences. Mathematical sciences 2023-05, Vol.133 (1)
Main Authors: Adimurthi, Karthik, Prasad, Harsh, Tewary, Vivek
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We give an alternative proof for Hölder regularity for weak solutions of nonlocal elliptic quasilinear equations modelled on the fractional p -Laplacian where we replace the discrete De Giorgi iteration on a sequence of concentric balls by a continuous iteration. This work can be viewed as the nonlocal counterpart to the ideas developed by Tiziano Granucci.
ISSN:0973-7685
DOI:10.1007/s12044-023-00734-6