Boundary blow-up solutions and their applications in quasilinear elliptic equations

被引：13

作者：

Yihong Du

Zongming Guo

机构：

[1] University of New England,School of Mathematical and Computer Sciences

[2] Henan Normal University,Department of Mathematics

来源：

Journal d’Analyse Mathématique | 2003年 / 89卷

关键词：

Elliptic Equation; Comparison Principle; Quasilinear Elliptic Equation; Strong Maximum Principle; Unique Positive Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Based on a comparison principle, we discuss the existence, uniqueness and asymptotic behaviour of various boundary blow-up solutions, for a class of quasilinear elliptic equations, which are then used to obtain a rather complete understanding of some quasilinear elliptic problems on a bounded domain or over the entireRN.

引用

页码：277 / 302

页数：25

共 50 条

[41] Boundary blow-up rates of large solutions for elliptic equations with convection terms
Huang, Shuibo
Tian, Qiaoyu
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) : 30 - 43
[42] BOUNDARY BLOW-UP SOLUTIONS TO SEMILINEAR ELLIPTIC EQUATIONS WITH NONLINEAR GRADIENT TERMS
Liu, Shufang
Xu, Yonglin
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2014,
[43] On the computation of blow-up solutions of elliptic equations with semilinear dynamical boundary conditions
Koleva, MN
LARGE-SCALE SCIENTIFIC COMPUTING, 2003, 2907 : 473 - 480
[44] Transition-layer solutions of quasilinear elliptic boundary blow-up problems and dirichlet problems
Zong Ming Guo
Yao Yong Yan
Acta Mathematica Sinica, English Series, 2011, 27 : 2177 - 2190
[45] A boundary blow-up for a class of quasilinear elliptic problems with a gradient term
Liu C.
Yang Z.
Journal of Applied Mathematics and Computing, 2010, 33 (1-2) : 23 - 34
[46] Blow-up boundary solutions of semilinear elliptic problems
Cîrstea, FS
Radulescu, VD
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 48 (04) : 521 - 534
[47] Transition-layer Solutions of Quasilinear Elliptic Boundary Blow-up Problems and Dirichlet Problems
Guo, Zong Ming
Yan, Yao Yong
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2011, 27 (11) : 2177 - 2190
[48] Boundary blow-up quasilinear elliptic problems with nonlinear gradient terms
Liu, Chunlian
Yang, Zuodong
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2012, 57 (06) : 687 - 704
[49] Blow-up rates of large solutions for elliptic equations
Zhang, Zhijun
Ma, Yunjie
Mi, Ling
Li, Xiaohong
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (01) : 180 - 199
[50] Boundary blow-up solutions for a cooperative system of quasilinear equation
Wang, Ying
Wang, Mingxin
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 368 (02) : 736 - 744

← 1 2 3 4 5 →