BLOW-UP ANALYSIS FOR LIOUVILLE TYPE EQUATION IN SELF-DUAL GAUGE FIELD THEORIES

2005 ◽  
Vol 07 (02) ◽  
pp. 177-205 ◽  
Author(s):  
HIROSHI OHTSUKA ◽  
TAKASHI SUZUKI

We study the asymptotic behavior of the solution sequence of Liouville type equations observed in various self-dual gauge field theories. First, we show that such a sequence converges to a measure with a singular part that consists of Dirac measures if it is not compact in W1,2. Then, under an additional condition, the singular limit is specified by the method of symmetrization of the Green function.

2015 ◽  
Vol 8 (7) ◽  
pp. 1757-1805 ◽  
Author(s):  
Francesca Da Lio ◽  
Luca Martinazzi ◽  
Tristan Rivière

1978 ◽  
Vol 110 (2) ◽  
pp. 440-471 ◽  
Author(s):  
K Osterwalder ◽  
E Seiler

2009 ◽  
Vol 2009 (07) ◽  
pp. 084-084 ◽  
Author(s):  
M Chaichian ◽  
A Tureanu ◽  
G Zet

1977 ◽  
Vol 31 (3) ◽  
pp. 471-475
Author(s):  
E. V. Prokhvatilov ◽  
V. A. Franke

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