拟凸Hamilton-Jacobi方程作为$p\to \infty$的Finsler PDMATHAA-Laplace问题的极限
Quasi-convex Hamilton--Jacobi equations via limits of Finsler $p$-Laplace problems as $p\to \infty$
摘要：
本文证明了一类拟凸Hamilton-Jacobi方程在边界上带有不等式约束时，其最大黏性解可通过取极限为一族Finsler $p$ -Laplace问题的$p\to\infty$来恢复.该方法还使我们能够提供一个最优解的贝克曼型问题在一般芬斯勒设置，并允许恢复一个工作台的基础上的埃文斯-冈博技术的已知结果。
英文摘要：
In this paper we show that the maximal viscosity solution of a class of quasi-convex Hamilton--Jacobi equations, coupled with inequality constraints on the boundary, can be recovered by taking the limit as $p\to\infty$ in a family of Finsler $p$-Laplace problems. The approach also enables us to provide an optimal solution to a Beckmann-type problem in general Finslerian setting and allows recovering a bench of known results based on the Evans--Gangbo technique.
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