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

被引：0
作者：
Huiling Li
Peter Y. H. Pang
Mingxin Wang
机构：
[1] Southeast University,Department of Mathematics
[2] National University of Singapore,Department of Mathematics
[3] Harbin Institute of Technology,Natural Science Research Center
来源：
Zeitschrift für angewandte Mathematik und Physik | 2012年 / 63卷
关键词：
35J25; 35J65; 35K57; Blow-up solution; Comparison principle;
D O I：
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学科分类号：
摘要：
We study the existence, uniqueness, and asymptotic behavior of blow-up solutions for a general quasilinear elliptic equation of the type −Δpu = a(x)um−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.
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页码：295 / 311
页数：16
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