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