Liouville Theorems of Weakly <i>Φ</i><sub>(3)</sub>-harmonic Map with Potential

HAN Yingbo; SHI Chenxin; HAN Xiaoyuan

doi:10.3969/j.issn.1003-0972.2024.02.009

HAN Yingbo, SHI Chenxin, HAN Xiaoyuan. Liouville Theorems of Weakly Φ(3)-harmonic Map with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2024, 37(2): 190-196. DOI: 10.3969/j.issn.1003-0972.2024.02.009

Citation:

HAN Yingbo, SHI Chenxin, HAN Xiaoyuan. Liouville Theorems of Weakly Φ(3)-harmonic Map with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2024, 37(2): 190-196. DOI: 10.3969/j.issn.1003-0972.2024.02.009

Citation:

HAN Yingbo, SHI Chenxin, HAN Xiaoyuan. Liouville Theorems of Weakly Φ(3)-harmonic Map with Potential[J]. Journal of Xinyang Normal University (Natural Science Edition), 2024, 37(2): 190-196. DOI: 10.3969/j.issn.1003-0972.2024.02.009

Liouville Theorems of Weakly Φ₍₃₎-harmonic Map with Potential

Abstract

Abstract

A generalized functional E_Φ(3),H was mainly introduced, and a definition of weakly Φ₍₃₎- harmonic map with potential H was given with respect to the generalized functional. By using the stress-energy tensor, some Liouville type results for these maps were obtained under conditions on H and the curvature conditions of the domain manifold.