具有(p,q)-Laplacian算子的一个传输问题

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS
Maria Colombo, Sunghan Kim, H. Shahgholian
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引用次数: 2

摘要

摘要在本文中,我们考虑了所谓的双相问题,其中相变发生在泛函的极小子的正相和负相的界面上。我们证明了极小子的存在,是Hölder正则的,并在弱意义上进行了验证。我们还证明了它们的自由边界是关于其支持为σ-有限维Hausdorff测度的测度的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A transmission problem with (p, q)-Laplacian
Abstract In this paper we consider the so-called double-phase problem where the phase transition takes place across the interface of the positive and negative phase of minimizers of the functional We prove that minimizers exist, are Hölder regular and verify in a weak sense. We also prove that their free boundary is a.e. with respect to the measure whose support is of σ-finite -dimensional Hausdorff measure.
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
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