Hua Wang, Yijun He
Abstract:
In this article, for a continuous function F that is twice differentiable
at a point
,
we define the normalized F-infinity Laplacian
which is a generalization of the usual normalized
infinity Laplacian.
Then for a bounded domain
,
with
and
,
we obtain existence and
uniqueness of viscosity solutions to the Dirichlet boundary-value problem
Submitted March 18, 2014. Published April 16, 2104.
Math Subject Classifications: 35D40, 35J60, 35J70
Key Words: March 18, 2014. Published April 16, 2014.
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Hua Wang School of Mathematical Sciences, Shanxi University Taiyuan 030006, China email: 197wang@163.com | |
Yijun He School of Mathematical Sciences, Shanxi University Taiyuan 030006, China email: heyijun@sxu.edu.cn |
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