On a planar Liouville-type problem in the study of selfgravitating strings Academic Article uri icon


  • 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.

publication date

  • January 1, 2012