We study the boundary regularity of the solutions to inhomogeneous infinity Laplace equations. We prove that if is a viscosity solution to with and for both and are differentiable at , then u is differentiable at .
Submitted December 17, 2013. Published March 16, 2014.
Math Subject Classifications: 35J25, 35J70, 49N60.
Key Words: Boundary regularity; infinity Laplacian; comparison principle; monotonicity.
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| Guanghao Hong |
School of Mathematics and Statistics
Xi'an Jiaotong University
Xi'an, 710049, China
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