English

Harnck inequalities and H\"older estimates for fully nonlinear integro-differential equations with weak scaling conditions

Analysis of PDEs 2022-07-07 v1

Abstract

H\"older estimates and Harnack inequalities are studied for fully nonlinear integro-differential equations under some mild assumptions. We allow the kernels of variable order and critically close to 2.

Keywords

Cite

@article{arxiv.2207.02617,
  title  = {Harnck inequalities and H\"older estimates for fully nonlinear integro-differential equations with weak scaling conditions},
  author = {Shuhei Kitano},
  journal= {arXiv preprint arXiv:2207.02617},
  year   = {2022}
}