Results on multiple nontrivial solutions to partial difference equations

Results on multiple nontrivial solutions to partial difference equations

In this paper, we consider the existence and multiplicity of nontrivial solutions to second order partial difference equation with Dirichlet boundary conditions by Morse theory. Given suitable conditions, we establish multiple results that the problem admits at least two nontrivial solutions. Moreov...

書誌詳細
主要な著者:	Huan Zhang, Yin Zhou, Yuhua Long
フォーマット:	論文
言語:	English
出版事項:	AIMS Press 2023-01-01
シリーズ:	AIMS Mathematics
主題:	partial difference equation local linking morse theory nontrivial solution
オンライン･アクセス:	https://www.aimspress.com/article/doi/10.3934/math.2023272?viewType=HTML

類似資料

Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
著者:: Yuhua Long, 等
出版事項: (2022-05-01)

Multiple nontrivial periodic solutions to a second-order partial difference equation
著者:: Yuhua Long, 等
出版事項: (2023-01-01)

Some perturbation results of Kirchhoff type equations via Morse theory
著者:: Mingzheng Sun, 等
出版事項: (2020-07-01)

Multiplicity results for a class of fractional differential equations with impulse
著者:: Yulin Zhao, 等
出版事項: (2018-09-01)

Multiple periodic solutions of nonlinear second order differential equations
著者:: Keqiang Li, 等
出版事項: (2023-03-01)

The existence of solutions for perturbed fractional differential equations with impulses via Morse theory
著者:: Peiluan Li, 等
出版事項: (2020-01-01)

On the existence of nontrivial solutions for quasilinear Schrödinger systems
著者:: Guofa Li
出版事項: (2022-06-01)

Multiplicity and concentration of nontrivial solutions for generalized extensible beam equations in R^N
著者:: Juntao Sun, 等
出版事項: (2019-03-01)

Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
著者:: Long Yuhua
出版事項: (2022-04-01)

Multiplicity of nontrivial solutions for a class of fractional Kirchhoff equations
著者:: Liuyang Shao, 等
出版事項: (2024-01-01)

Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
著者:: Keyu Zhang, 等
出版事項: (2018-10-01)

Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
著者:: Zhao Leiga, 等
出版事項: (2023-02-01)

Existence of nontrivial positive solutions for generalized quasilinear elliptic equations with critical exponent
著者:: Shulin Zhang
出版事項: (2022-03-01)

Corrigendum to "Nontrivial solutions for fractional $q$-difference boundary value problems" [Electron. J. Qual. Theory Differ. Equ. 2010, No. 70, 1–10]
著者:: Rui Ferreira
出版事項: (2019-06-01)

Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials
著者:: Shuai Jiang, 等
出版事項: (2023-02-01)

Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
著者:: Jing Zhang, 等
出版事項: (2018-10-01)

Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group
著者:: Tyagi Jagmohan
出版事項: (2014-05-01)

Steady-state solutions for Schrodinger equations in photonic lattice
著者:: Wen-Long Li
出版事項: (2018-05-01)

Nontrivial Solutions for a Class of Quasilinear Schrödinger Systems
著者:: Xue Zhang, 等
出版事項: (2024-03-01)

Multiplicity results for the Kirchhoff type equation via critical groups
著者:: Zhenting Wang, 等
出版事項: (2018-12-01)

Existence of nontrivial solution for Schrdinger equations with Hatree and Logarithmic nonlinearities
著者:: Jianwei HAO, 等
出版事項: (2019-12-01)

Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods
著者:: Yan Qiao, 等
出版事項: (2020-03-01)

Existence of nontrivial solutions for a class of biharmonic equations with singular potential in RN $\mathbb{R}^{N}$
著者:: Chengfang Zhou, 等
出版事項: (2018-02-01)

Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials
著者:: Jiabin Zuo, 等
出版事項: (2022-10-01)

Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions
著者:: Yaohong Li, 等
出版事項: (2020-05-01)

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
著者:: Xuemei Zhang, 等
出版事項: (2017-11-01)

On Nontrivial Covers and Partitions of Graphs by Convex Sets
著者:: Radu Buzatu, 等
出版事項: (2018-05-01)

Periodic solutions for second-order difference equations with quadratic–supquadratic condition
著者:: Liang Ding, 等
出版事項: (2021-09-01)

Global asymptotic stability and trajectory structure rules of high-order nonlinear difference equation
著者:: Qianhong Zhang, 等
出版事項: (2024-09-01)

Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity
著者:: He Qihan, 等
出版事項: (2021-03-01)

Nontrivial solutions for a Hadamard fractional integral boundary value problem
著者:: Keyu Zhang, 等
出版事項: (2024-03-01)

Existence of solutions for a class of Kirchhoff-type equations with indefinite potential
著者:: Jian Zhou, 等
出版事項: (2021-08-01)

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
著者:: Keyu Zhang, 等
出版事項: (2023-02-01)

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
著者:: Zhengqing Fu, 等
出版事項: (2019-04-01)

Nontrivial periodic solutions to second-order impulsive Hamiltonian systems
著者:: John R. Graef, 等
出版事項: (2015-08-01)

Nontrivial solutions for the Laplace equation with a nonlinear Goldstein-Wentzell boundary condition
著者:: Enzo Vitillaro
出版事項: (2023-11-01)

The Exact Solutions for Several Partial Differential-Difference Equations with Constant Coefficients
著者:: Hongyan Xu, 等
出版事項: (2022-10-01)

Nontrivial p-convex solutions to singular p-Monge-Ampère problems: Existence, Multiplicity and Nonexistence
著者:: Meiqiang Feng
出版事項: (2024-01-01)

Nontrivial solution for a three-point boundary-value problem
著者:: Yong-Ping Sun
出版事項: (2002-09-01)

Existence of the Nontrivial Solution for a <i>p</i>-Kirchhoff Problem with Critical Growth and Logarithmic Nonlinearity
著者:: Lixiang Cai, 等
出版事項: (2024-08-01)