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关于二相障碍问题几点注记 被引量：1

Remarks on the two-phase obstacle-type problem
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摘要 在Orlicz-Sobolev空间中考察一类自由边界问题极小化子正则性理论.通过建立极小化问题与方程强解问题的等价性,建立二相障碍问题极小化子的存在唯一性及C^(1,α)-正则性.最后建立极小化子在自由边界附近的非退化性. The regularity of a minimizer was established for free boundary problems in Orlicz-Sobolev spaces. The uniqueness and C^（1,α）-regularity of the minimizer was obtained by dealing with the equivalence of the minimizer and a strong solution,implying the non-degeneracy of the minimizer near the free boundary.
作者 刘佳音 郑军 赵培浩
机构地区 兰州大学数学与统计学院
出处 《兰州大学学报（自然科学版）》 CAS CSCD 北大核心 2013年第3期409-415,共7页 Journal of Lanzhou University(Natural Sciences)
基金 国家自然科学基金项目(10971088)
关键词 障碍问题 极小化子 强解 正则性 非退化性 自由边界问题 obstacle-type problem minimizer strong solution regularity non-degeneracy free boundary problem
分类号 O175.23 [理学—基础数学]
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参考文献11

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同被引文献4

  • 1BRAGA J E M,MOREIRA D R.Uniform Lipschitz regularity for classes of minimizers in two phase free boundary problems in Orlicz spaces with small density on the negative pha.
  • 2ZHENG Jun,ZHANG Zhi-hua,ZHAO Pei-hao.A minimum problem with two-phase free boundary in Orlicz spaces[J].Monatshefte fiir Mathematik,2013,172(3/4):441-475.
  • 3TAN Zhong,FANG Fei.Orlicz-Sobolev versus H(o)lder local minimizer and multiplicity results for quasilinear elliptic equations[J].Journal of Mathematical Analysis and Appl.
  • 4KARAKHANYAN A L,SHAHGHOLIAN H.Analysis of a free boundary at contact points with Lipschitz data[EB/OL].2012-4-22[2013-9-23].http://arxiv.org /abs/1205.5052.

引证文献1

兰州大学学报（自然科学版）
2013年 第3期

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