Abstract
In this note, we derive a Yau type gradient estimate for positive exponentially harmonic functions on Riemannian manifolds with compact boundary. As its application, we obtain a Liouville type theorem.
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This work is supported by the National Natural Foundation of China (No.11661043) and the Natural Foundation of Education Department of Jiangxi Province (No. GJJ2200320).
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Jiang, X., Mao, J. Liouville theorem for exponentially harmonic functions on Riemannian manifolds with compact boundary. manuscripta math. (2024). https://doi.org/10.1007/s00229-024-01543-5
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DOI: https://doi.org/10.1007/s00229-024-01543-5