Infinitely many solutions for three quasilinear Laplacian systems on weighted graphs

被引：1
作者：
Pang, Yan [1 ]
Xie, Junping [2 ]
Zhang, Xingyong [1 ,3 ]
机构：
[1] Kunming Univ Sci & Technol, Fac Sci, Kunming 650500, Yunnan, Peoples R China
[2] Kunming Univ Sci & Technol, Fac Transportat Engn, Kunming 650500, Yunnan, Peoples R China
[3] Kunming Univ Sci & Technol, Res Ctr Math & Interdisciplinary Sci, Kunming 650500, Yunnan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2024年 / 2024卷 / 01期
关键词：
Infinitely many solutions; Generalized ploy-Laplacian system; (p; q)-Laplacian system; Finite graph; Locally finite graph; EQUATIONS; IMAGE;
D O I：
10.1186/s13661-024-01846-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate a generalized poly-Laplacian system with a parameter on weighted finite graphs, a generalized poly-Laplacian system with a parameter and Dirichlet boundary value on weighted locally finite graphs, and a (p, q)-Laplacian system with a parameter on weighted locally finite graphs. We utilize a critical points theorem built by Bonanno and Bisci [Bonanno, Bisci, and Regan, Math. Comput. Model. 52(1-2):152-160, 2010], which is an abstract critical points theorem without compactness condition, to obtain that these systems have infinitely many nontrivial solutions with unbounded norm when the parameters locate some well-determined range.
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页数：23
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