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math.AP2013
The Maximum Principles and Symmetry results for Viscosity Solutions of Fully Nonlinear Equations
Guozhen Lu, Jiuyi Zhu
This paper is concerned about maximum principles and radial symmetry for viscosity solutions of fully nonlinear partial differential equations. We obtain the radial symmetry and mo…
math.AP2012★ 1 cited
Liouville-type theorems for fully nonlinear elliptic equation in half spaces
Guozhen Lu, Jiuyi Zhu
In \cite{LWZ}, we establish Liouville-type theorems and decay estimates for solutions of a class of high order elliptic equations and systems without the boundedness assumptions on…
math.AP2011★ 10 cited
An overdetermined problem in Riesz-potential and fractional Laplacian
Guozhen Lu, Jiuyi Zhu
The main purpose of this paper is to address two open questions raised by W. Reichel on characterizations of balls in terms of the Riesz potential and fractional Laplacian. For a b…