On a planar Liouville-type problem in the study of selfgravitating strings

Arkady Poliakovsky; Gabriella Tarantello

doi:10.1016/j.jde.2011.11.006

On a planar Liouville-type problem in the study of selfgravitating strings

Arkady Poliakovsky, Gabriella Tarantello

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Pages (from-to)	3668-3693
Number of pages	26
Journal	Journal of Differential Equations
Volume	252
Issue number	5
DOIs	https://doi.org/10.1016/j.jde.2011.11.006
State	Published - 1 Mar 2012
Externally published	Yes

All Science Journal Classification (ASJC) codes

Analysis
Applied Mathematics

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10.1016/j.jde.2011.11.006

Cite this

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title = "On a planar Liouville-type problem in the study of selfgravitating strings",

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.",

author = "Arkady Poliakovsky and Gabriella Tarantello",

note = "Funding Information: Supported by MIUR project: Firb-Ideas Analysis and Beyond.",

year = "2012",

month = mar,

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doi = "10.1016/j.jde.2011.11.006",

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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.

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U2 - 10.1016/j.jde.2011.11.006

DO - 10.1016/j.jde.2011.11.006

M3 - Article

SN - 0022-0396

VL - 252

SP - 3668

EP - 3693

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 5

ER -

On a planar Liouville-type problem in the study of selfgravitating strings

Abstract

All Science Journal Classification (ASJC) codes

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