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. (C) 2011 Elsevier Inc. All rights reserved.
Poliakovsky, A., Tarantello, G. (2012). On a planar Liouville-type problem in the study of selfgravitating strings. JOURNAL OF DIFFERENTIAL EQUATIONS, 252(5), 3668-3693 [10.1016/j.jde.2011.11.006].
On a planar Liouville-type problem in the study of selfgravitating strings
TARANTELLO, GABRIELLA
2012-01-01
Abstract
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. (C) 2011 Elsevier Inc. All rights reserved.File in questo prodotto:
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