Ling Mi
Abstract:
In this article, we establish a second-order estimate for the solutions
to the infinity Laplace equation
where
is a bounded domain in
,
,
is decreasing on
with
and g is normalized regularly varying at
zero with index
(
),
is
positive in
,
may be vanishing on the boundary. Our analysis is
based on Karamata regular variation theory.
Submitted December 18, 2016. Published July 24, 2017.
Math Subject Classifications: 35J55, 35J60, 35J65.
Key Words: Infinity Laplace equation; second order estimate;
Karamata regular variation theory; comparison functions.
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Ling Mi College of Mathematics and Statistics Linyi University Linyi, Shang Dong 276005, China email: mi-ling@163.com, miling@lyu.edu.cn |
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