Asymptotic behavior and uniqueness of blow-up solutions of quasilinear elliptic equations

被引:0
作者
Gary M. Lieberman
机构
[1] Iowa State University,Department of Mathematics
来源
Journal d'Analyse Mathématique | 2011年 / 115卷
关键词
Elliptic Equation; Order Estimate; Comparison Principle; QUASILINEAR Elliptic Equation; Order Expansion;
D O I
暂无
中图分类号
学科分类号
摘要
In this paper, we study the asymptotic behavior of solutions of the problem Δpu = f (u) in Ω, u = ∞ on ∂Ω, under general conditions on the function f, where Ωp is the p-Laplace operator. We show that the technique used by the author for the special case p = 2 works in this more general setting, and that the behavior described by various authors for the case p = 2 is easily derived from this technique for the general case.
引用
收藏
页码:213 / 249
页数:36
相关论文
共 50 条
[21]   Asymptotic behaviors of solutions to quasilinear elliptic equations with Hardy potential [J].
He, Cheng-Jun ;
Xiang, Chang-Lin .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 441 (01) :211-234
[22]   Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms [J].
Huiling Li ;
Peter Y. H. Pang ;
Mingxin Wang .
Zeitschrift für angewandte Mathematik und Physik, 2012, 63 :295-311
[23]   Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms [J].
Li, Huiling ;
Pang, Peter Y. H. ;
Wang, Mingxin .
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2012, 63 (02) :295-311
[24]   On boundary blow-up solutions to equations involving the ∞-Laplacian [J].
Mohammed, Ahmed ;
Mohammed, Seid .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) :5238-5252
[25]   Uniqueness and blow-up rate of large solutions for elliptic equation -Δu = λu - b(x)h(u) [J].
Xie, Zhifu .
JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 247 (02) :344-363
[26]   Boundary blow-up quasilinear elliptic problems of the Bieberbach type with nonlinear gradient terms [J].
Liu, Chunlian ;
Yang, Zuodong .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) :4380-4391
[27]   The behavior of bounded solutions of quasilinear elliptic equations on manifolds [J].
A. B. Ivanov .
Mathematical Notes, 2009, 86 :53-64
[28]   The Behavior of Bounded Solutions of Quasilinear Elliptic Equations on Manifolds [J].
Ivanov, A. B. .
MATHEMATICAL NOTES, 2009, 86 (1-2) :53-64
[29]   Asymptotic behavior of radial oscillatory solutions of a quasilinear elliptic equation [J].
Ho, LF .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 41 (5-6) :573-589
[30]   BLOW-UP SOLUTIONS FOR A KIRCHHOFF TYPE ELLIPTIC EQUATION WITH TRAPPING POTENTIAL [J].
Guo, Helin ;
Zhang, Yimin ;
Zhou, Huansong .
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (05) :1875-1897