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.

引用

页码：395 / 411

页数：17

共 50 条

[21] On existence and asymptotic behavior of solutions of elliptic equations with nearly critical exponent and singular coefficients
Li, Shiyu
Wei, Gongming
Duan, Xueliang
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (64) : 1 - 25
[22] Asymptotic behavior of large solutions of elliptic equations
Bandle, Catherine
ANNALS OF THE UNIVERSITY OF CRAIOVA-MATHEMATICS AND COMPUTER SCIENCE SERIES, 2005, 32 : 1 - 8
[23] On the asymptotic behavior of solutions of quasilinear elliptic equations
Kirk Lancaster
Jeremy Stanley
Annali dell’Università di Ferrara, 2003, 49 (1): : 85 - 125
[24] SEPARATION STRUCTURE OF RADIAL SOLUTIONS FOR SEMILINEAR ELLIPTIC EQUATIONS WITH EXPONENTIAL NONLINEARITY
Bae, Soohyun
Naito, Yuki
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2018, 38 (09) : 4537 - 4554
[25] Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity
Ishige, Kazuhiro
Okabe, Shinya
Sato, Tokushi
ADVANCES IN NONLINEAR ANALYSIS, 2022, 11 (01) : 968 - 992
[26] Quasilinear Elliptic Equations with Singular Nonlinearity
do O, Joao Marcos
da Silva, Esteban
ADVANCED NONLINEAR STUDIES, 2016, 16 (02) : 363 - 379
[27] Existence and asymptotic behavior for elliptic equations with singular anisotropic potentials
Ferreira, Lucas C. F.
Montenegro, Marcelo
JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (04) : 2045 - 2063
[28] Global estimates for solutions of singular parabolic and elliptic equations with variable nonlinearity
Antontsev, Stanislav
Shmarev, Sergey
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2020, 195 (195)
[29] ASYMPTOTIC-BEHAVIOR OF SOLUTIONS AND THEIR DERIVATIVES, FOR SEMILINEAR ELLIPTIC PROBLEMS WITH BLOWUP ON THE BOUNDARY
BANDLE, C
MARCUS, M
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 1995, 12 (02): : 155 - 171
[30] EXACT ASYMPTOTIC BEHAVIOR OF SINGULAR POSITIVE SOLUTIONS OF FRACTIONAL SEMI-LINEAR ELLIPTIC EQUATIONS
Yang, Hui
Zou, Wenming
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (07) : 2999 - 3009

← 1 2 3 4 5 →