Abstract
In this note we apply the general Reilly formula established in Qiu and Xia (Int Math Res Not 17:7608–7619, 2015) to the solution of a Neumann boundary value problem to prove an optimal Minkowski type inequality in space forms.
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Acknowledgments
The paper has been written while I was a postdoc fellow at Department of Mathematics, McGill University. I would like to thank the department for providing an ideal working atmosphere. I am grateful to Professor Pengfei Guan for stimulating discussions and Professor Guofang Wang for useful comments and for their constant supports.
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Communicated by A. Chang.
Research of CX is supported in part by the Fundamental Research Funds for the Central Universities (Grant No. 20720150012), NSFC (Grant No. 11501480) and CRC Postdoc Fellowship.
