The double phase problems on lattice graphs

被引：1
作者：
He, Zhentao [1 ]
Ji, Chao [1 ]
机构：
[1] East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 438卷
基金：
中国国家自然科学基金;
关键词：
Double phase problems; Lattice graphs; Musielak-Orlicz spaces; Constrained minimization; NONLINEAR EQUATIONS; ELLIPTIC-EQUATIONS; EXISTENCE; REGULARITY; P(X)-LAPLACIAN; MINIMIZERS; CALCULUS; GROWTH;
D O I：
10.1016/j.jde.2025.113380
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
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页数：31
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