Boundary blow-up solutions of p-Laplacian elliptic equations with lower order terms

被引：7

作者：

Li, Huiling ^{[1
]}

Pang, Peter Y. H. ^{[2
]}

Wang, Mingxin ^{[3
]}

机构：

[1] Southeast Univ, Dept Math, Nanjing 210018, Jiangsu, Peoples R China

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

[3] Harbin Inst Technol, Nat Sci Res Ctr, Harbin 150080, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2012年 / 63卷 / 02期

关键词：

Blow-up solution; Comparison principle; QUASI-LINEAR EQUATIONS; ASYMPTOTIC-BEHAVIOR; POSITIVE SOLUTIONS; UNIQUENESS; EXISTENCE; DIFFUSION; SYSTEM;

D O I：

10.1007/s00033-011-0175-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence, uniqueness, and asymptotic behavior of blow-up solutions for a general quasilinear elliptic equation of the type -Delta (p) u = a(x)u (m) -b(x)f(u) with p > 1 and 0 < m < p-1. The main technical tool is a new comparison principle that enables us to extend arguments for semilinear equations to quasilinear ones. Indeed, this paper is an attempt to generalize all available results for the semilinear case with p = 2 to the quasilinear case with p > 1.

引用

页码：295 / 311

页数：17

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