Layer and unlayer solutions for some singularly perturbed semilinear elliptic systems

Mathematica Slovaca

Zhi-Wen Duan¹ 

关键词: layer solution;    singularly perturbed;    elliptic system;    degree theory;   

DOI  :  10.2478/s12175-010-0016-8

学科分类：数学（综合）

来源: Slovenska Akademia Vied * Matematicky Ustav / Slovak Academy of Sciences, Mathematical Institute

【 摘 要 】

In this paper the existence of a transition layer and unlayer solution for the stationary system ɛ 2Δu = f(u, υ), Δυ = g(u, υ) with x ∈ Ω ⊂ RN (N ≥ 2) is studied by using the degree-theoretical argument.

【 授权许可】

Unknown