Infinite Homoclinic Solutions of the Discrete Partial Mean Curvature Problem with Unbounded Potential

Infinite Homoclinic Solutions of the Discrete Partial Mean Curvature Problem with Unbounded Potential

The mean curvature problem is an important class of problems in mathematics and physics. We consider the existence of homoclinic solutions to a discrete partial mean curvature problem, which is tied to the existence of discrete solitons. Under the assumptions that the potential function is unbounded...

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Bibliographic Details
Main Authors: Yanshan Chen, Zhan Zhou
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Mathematics
Subjects:
discrete partial mean curvature problem
homoclinic solution
unbounded potential
superlinearity
fountain theorem
Online Access:https://www.mdpi.com/2227-7390/10/9/1436

Internet

https://www.mdpi.com/2227-7390/10/9/1436

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