TY - JOUR AU - Qiao, Lei PY - 2018 TI - Cylindrical Carleman's formula of subharmonic functions and its application JO - Journal of Nonlinear Sciences and Applications SP - 947--952 VL - 11 IS - 8 AB - Our aim in this paper is to prove the cylindrical Carleman's formula for subharmonic functions in a truncated cylinder. As an application, we prove that if the positive part of a harmonic function in a cylinder satisfies a slowly growing condition, then its negative part can also be dominated by a similar slowly growing condition, which improves some classical results about harmonic functions in a cylinder. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.011.08.01 DO - 10.22436/jnsa.011.08.01 ID - Qiao2018 ER -