# American Institute of Mathematical Sciences

September  2011, 31(3): 975-983. doi: 10.3934/dcds.2011.31.975

## A Harnack inequality for fractional Laplace equations with lower order terms

 1 Departamento de Matemática, Universidad Técnica Federico Santa María, Avda. España 1680, Valparaíso, Chile 2 School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

Received  February 2010 Revised  May 2011 Published  August 2011

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.
Citation: Jinggang Tan, Jingang Xiong. A Harnack inequality for fractional Laplace equations with lower order terms. Discrete & Continuous Dynamical Systems - A, 2011, 31 (3) : 975-983. doi: 10.3934/dcds.2011.31.975
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