Weak solutions to the complex Monge-Ampere equation on open subsets of Cn
Journal Title: Математичні Студії - Year 2019, Vol 51, Issue 2
Abstract
In the paper, we prove the existence of weak solutions to the complex Monge-Ampere equation in the class D(Ω) on an open subset Ω of Cn.
Authors and Affiliations
V. V. Quan, L. M. Hai
Keywords
Related Articles
- EP ID EP609510
- DOI 10.15330/ms.51.2.143-151
- Views 70
- Downloads 0
International conference in functional analysis dedicated to the 125th anniversary of Stefan Banach
On March 30, 2017, the international mathematical community celebrated the 125th birthday of Stefan Banach, the famous Lviv mathematician, one of the founders of functional analysis. Dedicated to this anniversary, the In...
On boundary behavior of mappings with two normalized conditions
The paper is devoted to a study of mappings with finite distortion that have been recently actively investigated last time. We study the boundary behavior of mappings between two fixed domains in metric spaces, which sat...
Weak solutions to the complex Monge-Ampere equation on open subsets of Cn
In the paper, we prove the existence of weak solutions to the complex Monge-Ampere equation in the class D(Ω) on an open subset Ω of Cn.
In memory of ANDRIY ANDRIYOVYCH KONDRATYUK
Andriy Andriyovych Kondratyuk (1941 – 2016), Mat. Stud. 47 (2017), 100–112. The famous Ukrainian mathematician Andriy Kondratyuk was born on March 5, 1941 in the village Hremyache. It is situated near the city of Ostrog,...
Klein vs Mehrtens: restoring the reputation of a great modern
Historian Herbert Mehrtens sought to portray the history of turn-of-the-century mathematics as a struggle of modern vs countermodern, led respectively by David Hilbert and Felix Klein. Some of Mehrtens' conclusions have...