Complex $m$-Hessian type equations in weighted energy classes of $m$-subharmonic functions with given boundary value
| Autor: | Van Phu, Nguyen, Dieu, Nguyen Quang |
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| Rok vydání: | 2024 |
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| Druh dokumentu: | Working Paper |
| Popis: | In this paper, we concern with the existence of solutions of the complex $m-$Hessian type equation $-\chi(u)H_{m}(u)=\mu$ in the class $\mathcal{E}_{m,\chi}(f,\Omega)$ if there exists subsolution in this class, where the given boundary value $f\in\mathcal{N}_m(\Omega)\cap MSH_m(\Omega).$ Comment: 10 pages |
| Databáze: | arXiv |
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