Guanghao Hong
Abstract:
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 email: ghhongmath@gmail.com |
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