中文摘要：

研究了一类具有摄动边界的非线性椭圆方程摄动问题.经过极坐标变换,在适当的条件下,通过构建近似解以及校正项,利用上下解方法和微分不等式理论得到了解的渐近性态,并通过实际例子进行了验证.

英文摘要：

This paper is concerned with singularly perturbed problems for a class of nonlinear elliptic equation with perturbed boundary.Under suitable hypotheses,using the upper and lower solutions and the theory of differential inequalities,the asymptotic behavior of solution are obtained by constructing asymptotic solution and the initial layer corrective terms in a pole coordination.Moreover,some examples are presented to support the results in the paper.