Author:
Pang Yan,Xie Junping,Zhang Xingyong
Abstract
AbstractWe 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 $(p,q)$
(
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.
Funder
Yunnan Fundamental Research Projects of China
Xingdian Talent Support Program for Young Talents of Yunnan Province of China
Publisher
Springer Science and Business Media LLC
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