Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222561 | Nonlinear Analysis: Theory, Methods & Applications | 2018 | 28 Pages |
Abstract
Let Ω be a bounded domain in R2 with smooth boundary, we study the following anisotropic elliptic problem ââ(a(x)âÏ
)=a(x)[eÏ
âsÏ1âh(x)]inΩ,Ï
=0onâΩ,where a(x) is a positive smooth function, hâC0,α(Ω¯), s>0 is a large parameter and Ï1 is a positive first eigenfunction of the problem ââ(a(x)âÏ)=λa(x)Ï under Dirichlet boundary condition in Ω. We construct solutions of this problem which exhibit multiple concentration behavior around maximum points of a(x)Ï1 in the domain as sâ+â.
Related Topics
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Authors
Haitao Yang, Yibin Zhang,