Haiyang He, Wei Wang
Abstract:
In this article, we consider the existence and asymptotic behavior
of solutions for the Henon equation
where
denotes the Laplace Beltrami operator
on the disc model of the Hyperbolic space
,
,
is geodesic ball with radius
,
.
We study the existence of hyperbolic symmetric solutions
when
. We also investigate asymptotic
behavior of the ground state solution when p tends to the critical exponent
with
.
Submitted May 29, 2013. Published September 19, 2013.
Math Subject Classifications: 35J20, 35J60.
Key Words: Henon equation; hyperbolic space; asymptotic behavior; blow up.
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Haiyang He College of Mathematics and Computer Science Key Laboratory of High Performance Computing and Stochastic Information Processing, Ministry of Education Hunan Normal University, Changsha, Hunan 410081, China email: hehy917@hotmail.com | |
Wei Wang College of Mathematics and Computer Science Key Laboratory of High Performance Computing and Stochastic Information Processing, Ministry of Education Hunan Normal University, Changsha, Hunan 410081, China email: ww224182255@sina.com |
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