论文标题
具有边界积分功能的形状优化问题
Shape optimization problems for functionals with a boundary integral
论文作者
论文摘要
我们考虑了可能包含边界项的变体的计算的一般积分功能的形状优化问题。特别是，该类包括由椭圆方程在自由边界上具有罗宾条件的优化问题。我们在相当普遍的假设下显示了最佳域的存在，并研究了最佳域是开放式集合并具有有限周围的情况。
We consider shape optimization problems for general integral functionals of the calculus of variations that may contain a boundary term. In particular, this class includes optimization problems governed by elliptic equations with a Robin condition on the free boundary. We show the existence of an optimal domain under rather general assumptions and we study the cases when the optimal domains are open sets and have a finite perimeter.
