一类非严格拟凸域上复Monge-Ampère方程弱解的存在性研究  

Existence of Weak Solution for Complex Monge-Ampère Equation in Some Special Pseudoconvex Domain

作　　者：向妮[1,2] 

机构地区：[1]南京理工大学理学院,江苏南京210094 [2]湖北大学数学与计算机科学学院,湖北武汉430062

出　　处：《南京理工大学学报》2009年第6期806-808,813,共4页Journal of Nanjing University of Science and Technology

基　　金：应用数学湖北省重点实验室开放课题基金(000-024011)

摘　　要：为了研究拟凸域上复Monge-Ampère方程弱解的存在性,利用区域的边界性质构造下解。在下解蕴涵解的理论基础上得到了一类特殊的拟凸区域上弱解的存在性。研究结果表明下解的构造依赖于特殊区域的边界性质。In order to prove the existence of weak solution for the complex Monge-Ampere equation in the pseudoconvex domain, the sub-solution is constructed by the properties of the domain. According to the theorem that the sub-solution can imply the solution, the existence of weak solution in some special pseudoconvex domain is obtained. The results show that the sub-solution is based on the properties of the domain.

关 键 词：复Monge-Ampère方程 多重下调和函数 拟凸域 存在性 

分 类 号：O175.23[理学—数学] O174.56[理学—基础数学]