Plurisubharmonicity for the solution of the Fefferman equation and applications

Song-Ying Li

Type: Article

Publication Date: 2015-11-14

Citations: 4

DOI: https://doi.org/10.1007/s13373-015-0078-6

Abstract

In this paper, the author introduces a concept of the super-pseudoconvex domain. He proves that the solution of the Fefferman equation on a smoothly bounded strictly pseudoconvex domain D in $${\mathbb {C}}^n$$ is plurisubharmonic in D if and only if D is super-pseudoconvex. As an application, when D is super-pseudoconvex, he gives the sharp lower bound for the bottom of the spectrum of the Laplace-Beltrami operators by using the result of Li and Wang (Int. Math. Res. Not. 4351–4371, 2012).

Locations

Bulletin of Mathematical Sciences - View - PDF

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+ PDF Chat	Boundary behavior of the complex Monge-Ampère equation	1982	J. Jack Lee Richard Melrose
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+ PDF Chat	The spectrum of an asymptotically hyperbolic Einstein manifold	1995	John M. Lee
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+	Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains	1988	C. Robin Graham John M. Lee
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