N. V. Phu

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20242026

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math.AP2026

A note on the subsolution theorem in weighted energy classes of $m$ -subharmonic functions with given boundary values

Nguyen Van Phu

In this note, we deal with the existence of solutions of the weighted complex $m$ -Hessian equation $- I ¨ (u) H_{m} (u) = I^¼$ in the class $E_{m, I ¨ } (f, I^c ◯)$ if there exists a sub…

math.AP2024

Complex $m$ -Hessian type equations in weighted energy classes of $m$ -subharmonic functions with given boundary value

Nguyen Van Phu, Nguyen Quang Dieu

In this paper, we concern with the existence of solutions of the complex $m -$ Hessian type equation $- I ¨ (u) H_{m} (u) = I^¼$ in the class $E_{m, I ¨ } (f, I^c ◯)$ if there exists subso…

A note on the subsolution theorem in weighted energy classes of m-subharmonic functions with given boundary values

Complex m-Hessian type equations in weighted energy classes of m-subharmonic functions with given boundary value

A note on the subsolution theorem in weighted energy classes of $m$ -subharmonic functions with given boundary values

Complex $m$ -Hessian type equations in weighted energy classes of $m$ -subharmonic functions with given boundary value