文献类型：期刊文献

英文题名：The double phase problems on lattice graphs

作者：He, Zhentao[1];Ji, Chao[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2025

卷号：438

外文期刊名：JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;EI(收录号：20250036555);WOS:【SCI-EXPANDED(收录号:WOS:001490158600002)】；

基金：C. Ji was partially supported by National Natural Science Foundation of China (No. 12171152) .

语种：英文

外文关键词：Double phase problems; Lattice graphs; Musielak-Orlicz spaces; Constrained minimization

摘要：In this paper, we first develop the theory of Musielak-Orlicz spaces on locally finite graphs, including completeness, reflexivity, separability, and so on. Then, we present some elementary properties of double phase operators on locally finite graphs. Finally, as applications of previous theory, we prove some existence results of solutions to double phase problems on lattice graphs. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.