标题： 带有两个非线性约束的斯科罗霍德问题 显示英文标题

标题： The Skorokhod problem with two nonlinear constraints

摘要： 在本文中，我们研究带有两个约束的Skorokhod问题，其中约束以非线性方式呈现。我们证明了解的存在性和唯一性，并且还提供了解的显式构造。此外，还研究了解的若干性质，包括在一致和J1度量下的连续性、比较原理和非前瞻性性质。 显示英文摘要

摘要： In this paper, we study the Skorokhod problem with two constraints, where the constraints are in a nonlinear fashion. We prove the existence and uniqueness of the solution and also provide the explicit construction for the solution. In addition, a number of properties of the solution, including continuity under uniform and J1 metrics, comparison principle and non-anticipatory property, are investigated.