Identifying influential nodes is crucial in social network analysis. Existing methods often neglect local opinion leader tendencies, resulting in overlapping influence ranges for seed nodes. Furthermore, approaches based on vanilla graph neural networks (GNNs) struggle to effectively aggregate influence characteristics during message passing, particularly with varying influence intensities. Current techniques also fail to adequately address the multi-layer nature of social networks and node heterogeneity. To address these issues, this paper proposes Inf-MDE, a novel multi-layer influence maximization method leveraging differentiated graph embedding. Inf-MDE models social relationships using a multi-layer network structure. The model extracts a self-influence propagation subgraph to eliminate the representation bias between node embeddings and propagation dynamics. Additionally, Inf-MDE incorporates an adaptive local influence aggregation mechanism within its GNN design. This mechanism dynamically adjusts influence feature aggregation during message passing based on local context and influence intensity, enabling it to effectively capture both inter-layer propagation heterogeneity and intra-layer diffusion dynamics. Extensive experiments across four distinct multi-layer social network datasets demonstrate that Inf-MDE significantly outperforms state-of-the-art methods.