Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615495 | Journal of Mathematical Analysis and Applications | 2015 | 34 Pages |
Abstract
Let Ω be a bounded domain in R2R2 with smooth boundary, we study the following anisotropic elliptic problem{−∇(a(x)∇u)+a(x)u=0in Ω,u>0in Ω,∂u∂ν=upon ∂Ω, where ν denotes the outer unit normal vector to ∂Ω , p>1p>1 is a large exponent and a(x)a(x) is a positive smooth function. We construct solutions of this problem which exhibit the accumulation of arbitrarily many boundary peaks at any isolated local maximum point of a(x)a(x) on the boundary.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yibin Zhang, Qingkun Xiao, Haitao Yang,