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...

Bibliografiset tiedot
Päätekijät:	Huan Zhang, Yin Zhou, Yuhua Long
Aineistotyyppi:	Artikkeli
Kieli:	English
Julkaistu:	AIMS Press 2023-01-01
Sarja:	AIMS Mathematics
Aiheet:	partial difference equation local linking morse theory nontrivial solution
Linkit:	https://www.aimspress.com/article/doi/10.3934/math.2023272?viewType=HTML

Samankaltaisia teoksia

Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems
Tekijä: Yuhua Long, et al.
Julkaistu: (2022-05-01)

Multiple nontrivial periodic solutions to a second-order partial difference equation
Tekijä: Yuhua Long, et al.
Julkaistu: (2023-01-01)

Some perturbation results of Kirchhoff type equations via Morse theory
Tekijä: Mingzheng Sun, et al.
Julkaistu: (2020-07-01)

Multiplicity results for a class of fractional differential equations with impulse
Tekijä: Yulin Zhao, et al.
Julkaistu: (2018-09-01)

Multiple periodic solutions of nonlinear second order differential equations
Tekijä: Keqiang Li, et al.
Julkaistu: (2023-03-01)

The existence of solutions for perturbed fractional differential equations with impulses via Morse theory
Tekijä: Peiluan Li, et al.
Julkaistu: (2020-01-01)

On the existence of nontrivial solutions for quasilinear Schrödinger systems
Tekijä: Guofa Li
Julkaistu: (2022-06-01)

Multiplicity and concentration of nontrivial solutions for generalized extensible beam equations in R^N
Tekijä: Juntao Sun, et al.
Julkaistu: (2019-03-01)

Nontrivial solutions of discrete Kirchhoff-type problems via Morse theory
Tekijä: Long Yuhua
Julkaistu: (2022-04-01)

Multiplicity of nontrivial solutions for a class of fractional Kirchhoff equations
Tekijä: Liuyang Shao, et al.
Julkaistu: (2024-01-01)

Nontrivial solutions for boundary value problems of a fourth order difference equation with sign-changing nonlinearity
Tekijä: Keyu Zhang, et al.
Julkaistu: (2018-10-01)

Multiple nontrivial solutions of superlinear fractional Laplace equations without (AR) condition
Tekijä: Zhao Leiga, et al.
Julkaistu: (2023-02-01)

Existence of nontrivial positive solutions for generalized quasilinear elliptic equations with critical exponent
Tekijä: Shulin Zhang
Julkaistu: (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]
Tekijä: Rui Ferreira
Julkaistu: (2019-06-01)

Existence of nontrivial solutions for Schrodinger-Kirchhoff equations with indefinite potentials
Tekijä: Shuai Jiang, et al.
Julkaistu: (2023-02-01)

Existence of nontrivial solution for a nonlocal problem with subcritical nonlinearity
Tekijä: Jing Zhang, et al.
Julkaistu: (2018-10-01)

Nontrivial solutions for singular semilinear elliptic equations on the Heisenberg group
Tekijä: Tyagi Jagmohan
Julkaistu: (2014-05-01)

Steady-state solutions for Schrodinger equations in photonic lattice
Tekijä: Wen-Long Li
Julkaistu: (2018-05-01)

Nontrivial Solutions for a Class of Quasilinear Schrödinger Systems
Tekijä: Xue Zhang, et al.
Julkaistu: (2024-03-01)

Multiplicity results for the Kirchhoff type equation via critical groups
Tekijä: Zhenting Wang, et al.
Julkaistu: (2018-12-01)

Existence of nontrivial solution for Schrdinger equations with Hatree and Logarithmic nonlinearities
Tekijä: Jianwei HAO, et al.
Julkaistu: (2019-12-01)

Nontrivial solutions of a class of fractional differential equations with p-Laplacian via variational methods
Tekijä: Yan Qiao, et al.
Julkaistu: (2020-03-01)

Existence of nontrivial solutions for a class of biharmonic equations with singular potential in RN $\mathbb{R}^{N}$
Tekijä: Chengfang Zhou, et al.
Julkaistu: (2018-02-01)

Nontrivial Solutions of a Class of Fourth-Order Elliptic Problems with Potentials
Tekijä: Jiabin Zuo, et al.
Julkaistu: (2022-10-01)

Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions
Tekijä: Yaohong Li, et al.
Julkaistu: (2020-05-01)

Nontrivial convex solutions on a parameter of impulsive differential equation with Monge-Ampère operator
Tekijä: Xuemei Zhang, et al.
Julkaistu: (2017-11-01)

On Nontrivial Covers and Partitions of Graphs by Convex Sets
Tekijä: Radu Buzatu, et al.
Julkaistu: (2018-05-01)

Periodic solutions for second-order difference equations with quadratic–supquadratic condition
Tekijä: Liang Ding, et al.
Julkaistu: (2021-09-01)

Global asymptotic stability and trajectory structure rules of high-order nonlinear difference equation
Tekijä: Qianhong Zhang, et al.
Julkaistu: (2024-09-01)

Nontrivial solutions to the p-harmonic equation with nonlinearity asymptotic to |t|p–2t at infinity
Tekijä: He Qihan, et al.
Julkaistu: (2021-03-01)

Nontrivial solutions for a Hadamard fractional integral boundary value problem
Tekijä: Keyu Zhang, et al.
Julkaistu: (2024-03-01)

Existence of solutions for a class of Kirchhoff-type equations with indefinite potential
Tekijä: Jian Zhou, et al.
Julkaistu: (2021-08-01)

Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
Tekijä: Keyu Zhang, et al.
Julkaistu: (2023-02-01)

Nontrivial solutions for an integral boundary value problem involving Riemann–Liouville fractional derivatives
Tekijä: Zhengqing Fu, et al.
Julkaistu: (2019-04-01)

Nontrivial periodic solutions to second-order impulsive Hamiltonian systems
Tekijä: John R. Graef, et al.
Julkaistu: (2015-08-01)

Nontrivial solutions for the Laplace equation with a nonlinear Goldstein-Wentzell boundary condition
Tekijä: Enzo Vitillaro
Julkaistu: (2023-11-01)

The Exact Solutions for Several Partial Differential-Difference Equations with Constant Coefficients
Tekijä: Hongyan Xu, et al.
Julkaistu: (2022-10-01)

Nontrivial p-convex solutions to singular p-Monge-Ampère problems: Existence, Multiplicity and Nonexistence
Tekijä: Meiqiang Feng
Julkaistu: (2024-01-01)

Nontrivial solution for a three-point boundary-value problem
Tekijä: Yong-Ping Sun
Julkaistu: (2002-09-01)

Existence of the Nontrivial Solution for a <i>p</i>-Kirchhoff Problem with Critical Growth and Logarithmic Nonlinearity
Tekijä: Lixiang Cai, et al.
Julkaistu: (2024-08-01)