一类奇异Monge-Ampère型方程的Dirichlet问题解的存在性
\justifying 本文通过构造严格凸的上下解,结合比较原理,在有界光滑严格凸区域上,研究了一类奇异Monge-Ampère型方程的Dirichlet问题严格凸解的存在性和不存在性.
\justifying In this paper, by constructing strictly convex sub- and super solutions and combining with the comparison principle, we investigate the existence and the nonexistence of strictly convex solutions for the Dirichlet problem of a class of singular Monge-Ampère type equations in a bounded smooth and strictly convex domain.
高倩倩、张志军
烟台大学数学与信息科学学院，烟台 264005烟台大学数学与信息科学学院，烟台 264005
数学
Monge-Ampère方程奇异项Dirichlet问题严格凸解存在性不存在性
\justifying The Monge-Ampère equationSingular itemDirichlet problemStrictly convex solutionExistenceNonexistence
高倩倩,张志军.一类奇异Monge-Ampère型方程的Dirichlet问题解的存在性[EB/OL].(2025-05-06)[2025-05-14].http://www.paper.edu.cn/releasepaper/content/202505-6.点此复制
评论