Further regularity for the signorini problem
Further regularity for the signorini problem
复制标题
西格诺里尼问题的进一步规律性
DOI：
10.1080/03605307908820119
复制
发表时间：
1979
影响因子：
1.9
通讯作者：
L. Caffarelli
中科院分区：
文献类型：
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作者：
L. Caffarelli
8.为了简化工作，设r是Ho的光滑对称邻域，w是Dirichlet问题Aw=0 in r，w=u on br的解。则v=(Uw)关于y=0是等距的，并且在r中解决了与D中的u类似的问题，其中cp(X)-w(x，O)是新的障碍，我们将其重命名为cp。在r+上，v和u一样是重复的，从而足以证明v的cJaQ正则性。
8. In order to simplify W her the work, let r be a smooth symmetric neighborhood of Ho and w the solution to the Dirichlet problem Aw= 0 in r, w= u on br. Then v=(uw) isspetric with respect to y= 0 and solves in r a similar problem as u does in D, with cp (x)-w (x, O) as the new obstacle, which we rename cp. On r+, v is as rewar as u. It thus suffices to prove the cJaQ regularity of v.