English

Local H\"older regularity for nonlocal equations with variable powers

Analysis of PDEs 2021-08-24 v2

Abstract

We prove the local boundedness and the local H\"older continuity of weak solutions to nonlocal equations with variable orders and exponents under sharp assumptions.

Keywords

Cite

@article{arxiv.2107.06611,
  title  = {Local H\"older regularity for nonlocal equations with variable powers},
  author = {Jihoon Ok},
  journal= {arXiv preprint arXiv:2107.06611},
  year   = {2021}
}

Comments

28pages. correct minor mistakes, add references

R2 v1 2026-06-24T04:11:10.957Z