首页    期刊浏览 2025年05月24日 星期六
登录注册

文章基本信息

  • 标题:Subellipticity on Pseudo-Convex Domains with Isolated Degeneracies
  • 本地全文:下载
  • 作者:J. J. Kohn
  • 期刊名称:Proceedings of the National Academy of Sciences
  • 印刷版ISSN:0027-8424
  • 电子版ISSN:1091-6490
  • 出版年度:1974
  • 卷号:71
  • 期号:7
  • 页码:2912-2914
  • DOI:10.1073/pnas.71.7.2912
  • 语种:English
  • 出版社:The National Academy of Sciences of the United States of America
  • 摘要:Previous work has lead the author to conjecture necessary and sufficient conditions for the subellipticity of the [unk]-Neumann problem on pseudoconvex domains. Here we outline a general method which reduces the problem of subellipticity to inequalities between germs of C{infty} functions. We then describe how this method can be applied to prove the sufficiency of the conditions on domains whose boundaries have an isolated set of points on which the Levi form degenerates and such that in a neighborhood of these points the boundary is real analytic.
  • 关键词:partial differential equations ; variational problems ; subelliptic a priori estimates ; several complex variables ; inhomogeneous Cauchy-Riemann equations
国家哲学社会科学文献中心版权所有