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Global Regularity for Minimizers of Some Anisotropic Variational Integrals
Journal of Optimization Theory and Applications ( IF 1.6 ) Pub Date : 2021-01-08 , DOI: 10.1007/s10957-020-01795-7
Hongya Gao , Miaomiao Huang , Wei Ren

We give regularity results for minimizers of two special cases of polyconvex functionals. Under some structural assumptions on the energy density, we prove that minimizers are either bounded, or have suitable integrability properties, by using the classical Stampacchia Lemma.

中文翻译:

一些各向异性变分积分极小子的全局正则性

我们给出了两种特殊情况的多凸函数的极小值的正则性结果。在能量密度的一些结构假设下,我们通过使用经典的 Stampacchia Lemma 证明了极小值是有界的,或者具有合适的可积性。
更新日期:2021-01-08
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