úF ˝ŹQVN@PPUúiŕj@PSOOŞ`PVROŞ
ęFLpXvUs@UKćVuKş
uP |
Jann-Long
Chern@iNational
Central University, Taiwanj |
Ô |
PSFOO`PTFRO |
čÚ |
(1)
On
the Elliptic Equations of Hardy-Sobolev Type with
Multiple Boundary Singularities (2)On the Multivortex Solutions of
Maxwell-Chern-Simons Model |
Tv |
(1)In this talk, we are interested in how the geometry of boundary singularities can affect the attainability of the respective best Caffarelli-Kohn-Nirenberg and Hardy-Sobolev constant. (2)Regarding the self-dual equations of the Maxwell-Chern-Simons model, we study several aspects of different types of solutions of a general elliptic system on R^{2}. We establishes the following:
(a)Uniqueness of radially symmetric topological solutions. (b) Structure of all radially symmetric solutions. (c)An energy result that classifies non-topological solutions
with a single vortex. (d)Uniqueness for multi-vortex, topological solutions for a
range of parameters. |
uQ |
Bae
Soohyun@iHanbat National University, Koreaj |
Ô |
PUFOO`PVFRO |
čÚ |
Asymptotic
self-similarity of positive radial solutions for@quasilinear
equations of Lane-Emden
type |
Tv |
Asymptotic self-similarity is a basic
tool to study positive entire solutions in Lane-Emden equations. In this talk,
we explain the asymptotic self-similarity for quasilinear equations of Lane-Emden
type. One of related papers is "A generalized Pohozaev identity and its applications"
by Kawano, Ni and Yotsutani in 1990. |