On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On the regularity of solutions to fully nonlinear elliptic equations via the Liouville property

Authors:	Qingbo Huang

Affiliation:	Department of Mathematics, University of Texas at Austin, Austin, Texas 78712

Abstract:	We show that any $C^{1,1}$ solution to the uniformly elliptic equation $F(D^{2}u)=0$ must belong to $C^{2,alpha }$ , if the equation has the Liouville property.

Keywords:	Fully nonlinear elliptic equation regularity Liouville property VMO

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