Minimizing energy among homotopic maps
We study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3-manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204305053 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832552046754004992 |
|---|---|
| author | Pengzi Miao |
| author_facet | Pengzi Miao |
| author_sort | Pengzi Miao |
| collection | DOAJ |
| description | We study an energy minimizing sequence {ui} in a fixed
homotopy class of smooth maps from a 3-manifold. After deriving
an approximate monotonicity property for {ui} and a
continuous version of the Luckhaus lemma (Simon, 1996) on S2, we
show that, passing to a subsequence, {ui} converges strongly
in W1,2 topology wherever there is small energy
concentration. |
| format | Article |
| id | doaj-art-c9063b5aa496483eb975aaf6abe897f3 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c9063b5aa496483eb975aaf6abe897f32025-02-03T05:59:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004301599161110.1155/S0161171204305053Minimizing energy among homotopic mapsPengzi Miao0Department of Mathematics, Stanford University, Palo Alto 94305, CA, USAWe study an energy minimizing sequence {ui} in a fixed homotopy class of smooth maps from a 3-manifold. After deriving an approximate monotonicity property for {ui} and a continuous version of the Luckhaus lemma (Simon, 1996) on S2, we show that, passing to a subsequence, {ui} converges strongly in W1,2 topology wherever there is small energy concentration.http://dx.doi.org/10.1155/S0161171204305053 |
| spellingShingle | Pengzi Miao Minimizing energy among homotopic maps International Journal of Mathematics and Mathematical Sciences |
| title | Minimizing energy among homotopic maps |
| title_full | Minimizing energy among homotopic maps |
| title_fullStr | Minimizing energy among homotopic maps |
| title_full_unstemmed | Minimizing energy among homotopic maps |
| title_short | Minimizing energy among homotopic maps |
| title_sort | minimizing energy among homotopic maps |
| url | http://dx.doi.org/10.1155/S0161171204305053 |
| work_keys_str_mv | AT pengzimiao minimizingenergyamonghomotopicmaps |