Shuibo Huang, Qiaoyu Tian, Jie Wang, Jia Mu
Abstract:
In this article, we consider the stability for elliptic problems
that have degenerate coercivity in their principal part,
where
,
is a bounded domain.
Let K be a compact subset in
with zero r-capacity (
).
We prove that if
is a sequence of functions which converges strongly
to f in
and
, and
is the sequence of solutions
of the corresponding problems with datum
.
Then
converges to the solution u.
Submitted April 29, 2016. Published September 5, 2016.
Math Subject Classifications: 37K45,35J60.
Key Words: Removable singularity; capacity; noncoercive elliptic equation.
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Shuibo Huang School of Mathematics and Computer Northwest University for Nationalities Lanzhou, Gansu 730000, China email: huangshuibo2008@163.com | |
Qiaoyu Tian School of Mathematics and Computer Northwest University for Nationalities Lanzhou, Gansu 730000, China email: tianqiaoyu2004@163.com | |
Jie Wang Department of Applied Mathematics Lanzhou University of Technology Lanzhou, Gansu 730050, China email: jiema138@163.com | |
Jia Mu School of Mathematics and Computer Northwest University for Nationalities Lanzhou, Gansu 730000, China email: mujia88@163.com |
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