Home > Papers

 
 
Second order expansion for large solutionsof semilinear elliptic problems
Xue Yanxing 1,Zhang Zhijun 2 *
1.School of Mathematics and Information Sciences, Yantai University, ShanDong YanTai 264005
2.School of Mathematics and Information Sciences,Yantai University, ShanDong YanTai 264005
*Correspondence author
#Submitted by
Subject:
Funding: none
Opened online:28 February 2012
Accepted by: none
Citation: Xue Yanxing ,Zhang Zhijun .Second order expansion for large solutionsof semilinear elliptic problems [OL]. [28 February 2012] http://en.paper.edu.cn/en_releasepaper/content/4465923
 
 
In this paper, we investigate the second term asymptotic behavior of boundary blowup solutions to the problem Δu=b(x)f(u),x∈Ω, subject tothe singular boundary condition u(x)=∞ in smooth bounded domains Ω∈R N(N≥3). Where b(x) is a non-negative weight function, which may be vanishing on the boundary or be singular on the boundary. The absorption term f is regularly varying at infinity with index ρ>1 andthe mapping f(u)/u is increasing on (0,+∞). Our analysis relies on the Karamata regular variation therory.
Keywords:semilinear elliptic equation; large solution; the asymptotic behavior; the second-term expansion
 
 
 

For this paper
  • ● PDF (0B)
  • ● Revision 0 　　
  • ● Print this paper
  • ● Recommend this paper to a friend
  • ● Add to my favorite list

    Saved Papers

    Please enter a name for this paper to be shown in your personalized Saved Papers list

Tags
Add yours

Related Papers

Statistics
PDF Downloaded 278
Bookmarked 0
Recommend 5
Comments Array
Submit your papers