论文标题
Lipschitz在有限的斜率条件下的一类积分功能的最小化器
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
论文作者
论文摘要
我们考虑功能$ \int_Ω我们证明，在边界基准的有界坡度条件下，在$ g $上的适当条件下，存在一个独特的最小化器，它也是Lipschitz的连续。
We consider the functional $\int_Ωg(\nabla u+\textbf X^\ast)d\mathscr L^{2n}$ where $g$ is convex and $\textbf X^\ast(x,y)=2(-y,x)$ and we study the minimizers in $BV(Ω)$ of the associated Dirichlet problem. We prove that, under the bounded slope condition on the boundary datum, and suitable conditions on $g$, there exists a unique minimizer which is also Lipschitz continuous.
