Title
Existence Of Ground State Solution For The First Order Discrete Hamiltonian Systems
Abstract
The aim of this paper is to study ground state solution of the first order discrete Hamiltonian systems. The resulting problem engages two major difficulties: one is that the associated functional is strongly indefinite, the second is that, due to the lack of strict monotone type condition which is very crucial in strongly indefinite problem, many effective methods cannot be applied to it. Based on the recent work Chen et al. (2011); Guo and Yu (2003), for the first time, we obtain the existence of ground state solutions via non-Nehari method developed recently Qin et al. (2021); Tang et al. (2020) under some weaker assumptions. (C) 2021 Elsevier Ltd. All rights reserved.
Year
DOI
Venue
2021
10.1016/j.aml.2021.107113
APPLIED MATHEMATICS LETTERS
Keywords
DocType
Volume
First order discrete Hamiltonian systems, Ground state solution, Non-Nehari manifold approach
Journal
117
ISSN
Citations 
PageRank 
0893-9659
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Peng Chen1366.23
Li Meng200.34
Guoan Guo300.34