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

被引：31

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.

引用

页码：395 / 411

页数：17

共 36 条

[21] Analytic aspects of the toda system: I. A Moser-Trudinger inequality [J].