arXiv:0810.5143 Abstract | arXiv Analytics

arXiv:0810.5143 [math.AP]Abstract References Reviews Resources

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

Published 2008-10-28Version 1

We 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.

Comments: 21 pages. Communications on contemporary mathematics, in press

Categories: math.AP, math-ph, math.MP

Subjects: 35J60, 35B45

Keywords: singular data, blowup solutions, exponential nonlinearity, asymptotic behavior, second order elliptic equation

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