An inequality with applications to the subellipticity of the -Neumann problem

Author:
Lop-Hing Ho

Journal:
Proc. Amer. Math. Soc. **111** (1991), 135-138

MSC:
Primary 35N15; Secondary 32F10

MathSciNet review:
1031664

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Abstract: We prove an interesting inequality in this note. This inequality will be used to remove an unnecessary assumption in [2]. That paper dealt with the sufficient condition for the subellipticity of the -Neumann problem on nonpseudoconvex domains. We will then state the revised theorem and show why the original assumption can be removed.

**[1]**G. B. Folland and J. J. Kohn,*The Neumann problem for the Cauchy-Riemann complex*, Princeton University Press, Princeton, N.J.; University of Tokyo Press, Tokyo, 1972. Annals of Mathematics Studies, No. 75. MR**0461588****[2]**Lop-Hing Ho,*Subellipticity of the ∂-Neumann problem on nonpseudoconvex domains*, Trans. Amer. Math. Soc.**291**(1985), no. 1, 43–73. MR**797045**, 10.1090/S0002-9947-1985-0797045-5**[3]**J. J. Kohn,*Subellipticity of the ∂-Neumann problem on pseudo-convex domains: sufficient conditions*, Acta Math.**142**(1979), no. 1-2, 79–122. MR**512213**, 10.1007/BF02395058

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1991-1031664-4

Article copyright:
© Copyright 1991
American Mathematical Society