Zobrazeno 1 - 10
of 147
pro vyhledávání: '"Chungen Liu"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 2, Pp 3303-3319 (2024)
In this paper, in the view of control functions, the existence of periodic solutions of the following second-order discrete Hamiltonian system $ \bigtriangleup ^{2} u(n-1) = \nabla F(n, u(n)), \ \ n\in \mathbb{Z} $ with a generalized sublinear
Externí odkaz:
https://doaj.org/article/846703fb679443368a564c6d8431fbce
Publikováno v:
Electronic Research Archive, Vol 31, Iss 9, Pp 5151-5160 (2023)
This paper deals with a non-autonomous discrete second-order Hamiltonian system under asymptotically linear conditions. The existence of a periodic solution is obtained via the saddle point theorem.
Externí odkaz:
https://doaj.org/article/108f921b9a384e4e8fa53acd37491c49
Autor:
Chungen Liu, Yuyou Zhong
Publikováno v:
Electronic Research Archive, Vol 30, Iss 5, Pp 1653-1667 (2022)
In this paper, we consider the existence of infinitely many periodic solutions for some ordinary p(t)-Laplacian differential systems by minimax methods in critical point theory.
Externí odkaz:
https://doaj.org/article/827cdc14dbd844c7b8cf3b4629f41bae
Autor:
Chungen Liu, Hua-Bo Zhang
Publikováno v:
Boundary Value Problems, Vol 2020, Iss 1, Pp 1-28 (2020)
Abstract In this paper, we consider the existence of a least energy nodal solution and a ground state solution, energy doubling property and asymptotic behavior of solutions of the following critical problem: { − ( a + b ∫ R 3 | ∇ u | 2 d x )
Externí odkaz:
https://doaj.org/article/581bca98a67646d1bb96e1267f2a14c8
Autor:
Chungen Liu, Yanjun Liu
Publikováno v:
Journal of Inequalities and Applications, Vol 2020, Iss 1, Pp 1-21 (2020)
Abstract In this paper, we consider the following elliptic problem: − div g ( | ∇ g u | N − 2 ∇ g u ) + V ( x ) | u | N − 2 u = f ( x , u ) a ( x ) in M , ( P a ) $$ -\mathtt{div}_{g}\bigl( \vert \nabla_{g} u \vert ^{N-2}\nabla_{g} u \bigr)
Externí odkaz:
https://doaj.org/article/32c00d7ba6af49f0b0592981c2d235a7
Publikováno v:
Mathematics, Vol 10, Iss 12, p 1973 (2022)
The aim of this paper is to investigate the existence and multiplicity of solutions for a bi-non-local problem. Precisely, we show that the above problem admits at least a non-trivial positive energy solution by using the mountain pass theorem. Furth
Externí odkaz:
https://doaj.org/article/f7bdfa1cdaf14d11a2ad55b16ec0ba42
Progress In Variational Methods - Proceedings Of The International Conference On Variational Methods
Autor:
Chungen Liu, Yiming Long
In the last forty years, nonlinear analysis has been broadly and rapidly developed. Lectures presented in the International Conference on Variational Methods at the Chern Institute of Mathematics in Tianjin of May 2009 reflect this development from d
Publikováno v:
ACS Catalysis. 13:79-86
Publikováno v:
Journal of Differential Equations. 329:1-30
Autor:
Yanjun Liu, Chungen Liu
Publikováno v:
Chinese Annals of Mathematics, Series B. 43:549-566