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A Harnack inequality for fractional Laplace equations with lower order terms

Analysis of PDEs 2012-11-28 v1

Abstract

We establish a Harnack inequality of fractional Laplace equations without imposing sign condition on the coefficient of zero order term via the Moser's iteration and John-Nirenberg inequality.

Keywords

Cite

@article{arxiv.1101.0013,
  title  = {A Harnack inequality for fractional Laplace equations with lower order terms},
  author = {Jinggang Tan and Jingang Xiong},
  journal= {arXiv preprint arXiv:1101.0013},
  year   = {2012}
}

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9 pages