A Harnack inequality for fractional Laplace equations with lower order terms

Jinggang Tan; Jingang Xiong

doi:10.3934/dcds.2011.31.975

Article Contents

2011, Volume 31, Issue 3: 975-983. Doi: 10.3934/dcds.2011.31.975

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A Harnack inequality for fractional Laplace equations with lower order terms

Jinggang Tan^1, and
Jingang Xiong^2,

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

Received: January 31, 2010

Revised: April 30, 2011

Published: August 2011

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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:

Mathematics Subject Classification: Primary: 35J70, 35B45, 35S05, 35J25.

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References

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