Hölder Continuous Solutions to Complex Hessian Equations

Hölder Continuous Solutions to Complex Hessian Equations
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DOI:
10.1007/s11118-014-9398-5
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发表时间:
2013-01
期刊:
影响因子:
1.1
通讯作者:
N. Nguyen
N. Nguyen
中科院分区:
数学3区
文献类型:
--
作者:
N. Nguyen

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本文证明了Lp_(1 <m<n)中右端的复Hessian方程解在n中的am-强拟凸区域上的Hölder连续性,并对边界附近的密度和边界数据作了一些附加条件.
We prove the Hölder continuity of the solution to complex Hessian equation with the right hand side inLp,, 1 <m<n, in am-strongly pseudoconvex domain in ℂnunder some additional conditions on the density near the boundary and on the boundary data.