论文标题
关于特殊形式的成本功能的非线性Kantorovich问题
On nonlinear Kantorovich problems for cost functions of a special form
论文作者
论文摘要
我们研究Kantorovich型具有非线性成本功能的最佳运输问题，包括依赖运输计划的条件度量。考虑了特殊形式的成本函数的一系列非线性Kantorovich问题，并证明了最佳解决方案的存在（或不存在）的结果。我们还建立了非线性Kantorovich问题与某些特殊形式的成本函数与凸优势的Monge问题之间的联系。
We study Kantorovich type optimal transportation problems with nonlinear cost functions, including dependence on conditional measures of transport plans. A range of nonlinear Kantorovich problems for cost functions of a special form is considered and results on existence (or non-existence) of optimal solutions are proved. We also establish the connection between the nonlinear Kantorovich problem with the cost function of some special form and the Monge problem with convex dominance.
