The Sobolev inequality for complex Hessian equations

The Sobolev inequality for complex Hessian equations
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DOI:
10.1007/s00209-012-1084-y
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发表时间:
2012-11
影响因子:
0.8
通讯作者:
B. Zhou
B. Zhou
中科院分区:
数学2区
文献类型:
--
作者:
B. Zhou

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In this paper, we study the complex Hessian equations by an gradient flow method. We prove a Sobolev inequality for-plurisubharmonic functions analogous to that for real Hessian equations (Wang in Indiana Univ Math J 43:25–54, 1994; Lecture Notes in Mathematics, vol. 1977, 2009).