本論文主要探討在有界域上的奇異擾動橢圓方程的解的唯一性，其中我們考慮具有積分項的Robin邊界條件。我們先建立一個對應的標準橢圓方程，以及映射來與原本的方程做連結。我們再利用固定點理論來得到解的存在性及唯一性。我們更進一步去研究方程的內部及邊界漸近行為。

The main focus of this thesis is to investigate the uniqueness of solutions to singular perturbation elliptic equations on bounded domains, where we consider Robin boundary conditions with integral terms. First, we establish a corresponding standard elliptic equation and a mapping to connect the original equation. Then, we utilize fixed point theory to obtain the existence and uniqueness of solutions. We study the interior and boundary asymptotic behavior of the equation.

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