Local H\"older continuity for fractional nonlocal equations with general growth
Analysis of PDEs
2021-12-30 v1
Abstract
We study generalized fractional -Laplacian equations to prove local boundedness and H\"older continuity of weak solutions to such nonlocal problems by finding a suitable fractional Sobolev-Poincar\'e inquality.
Keywords
Cite
@article{arxiv.2112.13958,
title = {Local H\"older continuity for fractional nonlocal equations with general growth},
author = {Sun-Sig Byun and Hyojin Kim and Jihoon Ok},
journal= {arXiv preprint arXiv:2112.13958},
year = {2021}
}
Comments
26 pages