Zobrazeno 1 - 10
of 77
pro vyhledávání: '"DIEU, NGUYEN QUANG"'
Autor:
Van Phu, Nguyen, Dieu, Nguyen Quang
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\ma
Externí odkaz:
http://arxiv.org/abs/2408.07528
Autor:
Van Phu, Nguyen, Dieu, Nguyen Quang
In this paper, we first study subextensions in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$. These results are then used to study approximation in the classes $\mathcal{F}_{m}(\Omega)$ and $\mathcal{E}_{m,\chi}(\Omega)$.
Externí odkaz:
http://arxiv.org/abs/2307.03957
Autor:
Van Phu, Nguyen, Dieu, Nguyen Quang
In this paper, we first study the comparison principle for the operator $H_{\chi,m}$. This result is used to solve certain weighted complex $m-$ Hessian equations.
Comment: 25 pages
Comment: 25 pages
Externí odkaz:
http://arxiv.org/abs/2307.03955
The purpose of this article is twofold. The first aim is to prove that if there exist a sequence $\{\varphi_j\}\subset \mathrm{Aut}(\Omega)$ and $a\in \Omega$ such that $\lim_{j\to\infty}\varphi_j(a)=\xi_0$ and $\lim_{j\to\infty}\sigma_\Omega(\varphi
Externí odkaz:
http://arxiv.org/abs/2209.14168
In this paper, we characterize weakly pseudoconvex domains of finite type in $\mathbb C^n$ in terms of the boundary behavior of automorphism orbits by using the scaling method.
Comment: 25 pages. We update the Example 3.3
Comment: 25 pages. We update the Example 3.3
Externí odkaz:
http://arxiv.org/abs/2208.05766
The purpose of this article is twofold. The first aim is to characterize an $n$-dimensional hyperbolic complex manifold $M$ exhausted by a sequence $\{\Omega_j\}$ of domains in $\mathbb C^n$ via an exhausting sequence $\{f_j\colon \Omega_j\to M\}$ su
Externí odkaz:
http://arxiv.org/abs/2111.08219
Autor:
Van Phu, Nguyen, Dieu, Nguyen Quang
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 February 2024 530(2)
Autor:
Dieu, Nguyen Quang, Duong, Do Thai
We investigate decay near boundary of the volume of sublevel sets in Cegrell classes of $m-$ subharmonic function on bounded domains in $\mathbb C^n.$ On the reverse direction, some sufficient conditions for membership in certain Cegrell's classes, i
Externí odkaz:
http://arxiv.org/abs/2004.00929
Autor:
Van Thu, Ninh, Dieu, Nguyen Quang
The purpose of this article is twofold. The first aim is to characterize $h$-extendibility of smoothly bounded pseudoconvex domains in $\mathbb C^{n+1}$ by their noncompact automorphism groups. Our second goal is to show that if the squeezing functio
Externí odkaz:
http://arxiv.org/abs/1907.00152
Publikováno v:
International Journal of Mathematics; Jan2025, Vol. 36 Issue 1, p1-30, 30p