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The Complex Monge-Ampère Type Equation for \(\mathcal {F}\)-plurisubharmonic Functions

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Abstract

The purpose of this paper is to establish the existence solutions of the complex Monge-Ampère type equation in plurifinely open subsets of \(\mathbb {C}^{n}\).

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Funding

This research is funded by the Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.02-2019.312.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy Street, Cau Giay District, Hanoi, Vietnam

    Nguyen Thi Lien

  2. Department of Basis Sciences, University of Transport Technology, 54 Trieu Khuc, Thanh Xuan District, Hanoi, Vietnam

    Hoang Van Can

  3. Vietnam Education Publishing House, Hanoi, Vietnam

    Hoang Viet

Authors
  1. Nguyen Thi Lien
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  2. Hoang Van Can
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  3. Hoang Viet
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Correspondence to Nguyen Thi Lien.

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Lien, N.T., Van Can, H. & Viet, H. The Complex Monge-Ampère Type Equation for \(\mathcal {F}\)-plurisubharmonic Functions. Acta Math Vietnam 46, 737–746 (2021). https://doi.org/10.1007/s40306-021-00433-2

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  • DOI: https://doi.org/10.1007/s40306-021-00433-2

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