English

Harnack inequality for the nonlocal equations with general growth

Analysis of PDEs 2022-01-25 v1

Abstract

We consider a class of generalized nonlocal pp-Laplacian equations. We find some proper structural conditions to establish a version of nonlocal Harnack inequalities of weak solutions to such nonlocal problems by using the expansion of positivity and energy estimates.

Keywords

Cite

@article{arxiv.2201.09495,
  title  = {Harnack inequality for the nonlocal equations with general growth},
  author = {Yuzhou Fang and Chao Zhang},
  journal= {arXiv preprint arXiv:2201.09495},
  year   = {2022}
}
R2 v1 2026-06-24T08:59:41.130Z