ASYMPTOTIC BEHAVIOR OF BLOWUP SOLUTIONS FOR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY AND SINGULAR DATA

被引：30
|
作者：
Zhang, Lei [1 ]
机构：
[1] Univ Alabama, Dept Math, Birmingham, AL 35294 USA
来源：
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2009年 / 11卷 / 03期
基金：
美国国家科学基金会;
关键词：
Liouville equation; blowup analysis; MEAN-FIELD EQUATIONS; TODA SYSTEM; MULTIVORTEX SOLUTIONS; TOPOLOGICAL-DEGREE; ELECTROWEAK THEORY; RIEMANN SURFACES; ANALYTIC ASPECTS; UP SOLUTIONS; EXISTENCE; SYMMETRY;
D O I：
10.1142/S0219199709003417
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 pro. le 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.
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页码：395 / 411
页数：17
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