论文标题
最佳设计问题，具有非标准生长，没有浓度效应
An optimal design problem with non-standard growth and no concentration effects
论文作者
论文摘要
我们获得了在非标准生长条件和周边惩罚下最佳设计和损害进化问题背景下产生的某些功能的积分表示。在我们的假设下，整体表示包含一个与Lebesgue度量和外围项绝对连续的术语，但没有其他单数项。 我们还研究了一些降低的问题，为薄膜的最佳设计提供了结果。
We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimeter penalisation. Under our hypotheses, the integral representation includes a term which is absolutely continuous with respect to the Lebesgue measure and a perimeter term, but no additional singular term. We also study some dimension reduction problems providing results for the optimal design of thin films.
