Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

Edward Norman Dancer; Yihong Du; Li Ma

Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

Edward Norman Dancer
, Yihong Du
, Li Ma

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu^p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞.

Original language	English
Pages (from-to)	215-228
Journal	Pacific Journal of Mathematics
Volume	210
Issue number	2
Publication status	Published - 2003

Keywords

Ordinary Differential Equations, Difference Equations and Dynamical Systems

Access to Document

https://hdl.handle.net/1959.11/3646

Handle.net

Persistent link

Cite this

@article{b7eeac66f78941adb324b814dd200183,

title = "Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems",

abstract = "In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu\textasciicircum{}p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞.",

keywords = "Ordinary Differential Equations, Difference Equations and Dynamical Systems",

author = "Dancer, \{Edward Norman\} and Yihong Du and Li Ma",

year = "2003",

language = "English",

volume = "210",

pages = "215--228",

journal = "Pacific Journal of Mathematics",

issn = "0030-8730",

publisher = "Mathematical Sciences Publishers",

number = "2",

}

TY - JOUR

T1 - Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

AU - Dancer, Edward Norman

AU - Du, Yihong

AU - Ma, Li

PY - 2003

Y1 - 2003

N2 - In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu^p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞.

AB - In this paper, we discuss the asymptotic behaviour of the positive solutions to the problem -Δu=au-bu^p, u|δΩ=0 as p→1+0 and as p→∞. We show that, for each case, the behavior is determined by a limiting problem. Moreover, the limiting problem is of free boundary nature when p→∞.

KW - Ordinary Differential Equations, Difference Equations and Dynamical Systems

UR - http://pjm.math.berkeley.edu/pjm/2003/210-2/p02.xhtml

M3 - Article

SN - 0030-8730

VL - 210

SP - 215

EP - 228

JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

ER -

Asymptotic Behavior Of Positive Solutions Of Some Elliptic Problems

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this