一类(p, q)-Monge-Ampère方程解的存在性
The Existence of Solutions for a Class of (p, q)-Monge-Ampere Equations
DOI: 10.12677/pm.2026.164085, PDF,    国家自然科学基金支持
作者: 席丹丹：西北师范大学数学与统计学院，甘肃 兰州
关键词: (p； q)-Monge-Ampère方程；Gustafson-Schmitt不动点定理；径向解；存在性；(p； q)-Monge-Ampère Equation； Gustafson-Schmitt Fixed Point Theorem； Radial Solution； Existence
摘要: 运用一个新的修正的Gustafson-Schmitt型不动点定理，研究一类(p, q)-Monge-Ampère方程在Dirichlet边界条件下解的存在性。当非线性项仅在u = 0处满足适当的增长条件时，得到了径向解的存在性结果。
Abstract: By applying a new and modified Gustafson-Schmitt type the fixed point theorem, the existence of solutions for a class of (p, q)-Monge-Ampère equations under Dirichlet boundary conditions is studied. When the nonlinear term satisfies appropriate growth conditions at u = 0, the existence results of radial solutions are obtained.
文章引用：席丹丹. 一类(p, q)-Monge-Ampère方程解的存在性[J]. 理论数学, 2026, 16(4): 1-9. https://doi.org/10.12677/pm.2026.164085

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