TY - JOUR
T1 - On a planar Liouville-type problem in the study of selfgravitating strings
AU - Poliakovsky, Arkady
AU - Tarantello, Gabriella
N1 - Funding Information:
Supported by MIUR project: Firb-Ideas Analysis and Beyond.
PY - 2012/3/1
Y1 - 2012/3/1
N2 - Motivated by the construction of selfgravitating strings (cf. Yang, 2001, 1994 [22,23]), we analyze a Liouville-type equation on the plane, derived in Yang (1994) [23]. We establish sharp existence and uniqueness properties for the corresponding radial solutions. We investigate also when the problem allows for non-radial solutions.
AB - Motivated by the construction of selfgravitating strings (cf. Yang, 2001, 1994 [22,23]), we analyze a Liouville-type equation on the plane, derived in Yang (1994) [23]. We establish sharp existence and uniqueness properties for the corresponding radial solutions. We investigate also when the problem allows for non-radial solutions.
UR - http://www.scopus.com/inward/record.url?scp=84855584368&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2011.11.006
DO - 10.1016/j.jde.2011.11.006
M3 - Article
AN - SCOPUS:84855584368
SN - 0022-0396
VL - 252
SP - 3668
EP - 3693
JO - Journal of Differential Equations
JF - Journal of Differential Equations
IS - 5
ER -