Asymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data

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dc.creatorZhang, Lei
dc.date2008-10-28
dc.date.accessioned2026-07-07T10:13:49Z
dc.date.available2026-07-07T10:13:49Z
dc.descriptionWe consider a sequence of blowup solutions of a two dimensional, second order elliptic equation with exponential nonlinearity and singular data. This equation has a rich background in physics and geometry. In a work of Bartolucci-Chen-Lin-Tarantello it is proved that the profile of the solutions differs from global solutions of a Liouville type equation only by a uniformly bounded term. The present paper improves their result and establishes an expansion of the solutions near the blowup points with a sharp error estimate.
dc.description21 pages. Communications on contemporary mathematics, in press
dc.identifierhttps://arxiv.org/abs/0810.5143
dc.identifierhttp://arxiv.org/abs/0810.5143
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172667
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subject35J60, 35B45
dc.titleAsymptotic Behavior of Blowup Solutions for Elliptic Equations with Exponential Nonlinearity and Singular Data
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