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Weak solutions to the complex m-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \({\mathbb {C}}^n\)

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Abstract

In the paper, we prove the existence of weak solutions of the complex m-Hessian type equation for arbitrary nonnegative Radon measures on an open subset \(\Omega \) of \({\mathbb {C}}^n\).

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Acknowledgements

The authors would like to thank the reviewers for valuable comments and suggestions that led to improvements of the exposition of the paper.

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Authors and Affiliations

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

    Le Mau Hai

  2. Department of Mathematics, Hanoi Architectural University, km-10, Nguyen Trai, Ha Dong, Hanoi, Vietnam

    Vu Van Quan

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  1. Le Mau Hai
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Hai, L.M., Van Quan, V. Weak solutions to the complex m-Hessian type equations for arbitrary nonnegative Radon measures on open subsets of \({\mathbb {C}}^n\). Anal.Math.Phys. 12, 144 (2022). https://doi.org/10.1007/s13324-022-00755-w

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