Infinitely Many Solutions for Anisotropic Discrete Boundary Value Problems of Kirchhoff Type

John R.Graef; Lingju Kong; Shapour Heidarkhani; Shahin Moradi

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Infinitely Many Solutions for Anisotropic Discrete Boundary Value Problems of Kirchhoff Type

机译：无限多种解决方案的各向异性离散边值问题的解决方案

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摘要

This paper establishes several criteria for the existence of infinitely many solutions to an anisotropic discrete boundary value problem of p(k)-Kirchhoff type in a T-dimensional Hilbert space.The approach is based on the critical point theory.Some recent results are extended and improved.An example is included to show the applicability of the theorems.

机译：本文建立了在T维希尔伯特空间中存在无限多种解决方案的无限多种解基值问题的若干标准。方法基于临界点理论。最近的结果延长了并改善。包括示例以显示定理的适用性。

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《International Journal of Difference Equations》 |2020年第2期|共13页
作者
John R.Graef; Lingju Kong; Shapour Heidarkhani; Shahin Moradi;
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中图分类微分方程、积分方程;
关键词
Anisotropic discrete boundary value problemsKirchhoff type equationsinfinitely many solutionsvariational methods.;

机译：各向异性离散边值问题问题kirchhoff型式耗尽了许多解决方案。;

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1. Existence results of infinitely many solutions for p(x)-Kirchhoff type triharmonic operator with Navier boundary conditions (vol 478, pg 1133, 2019) [J] . Journal of Mathematical Analysis and Applications . 2020,第1期

机译：具有Navier边界条件的P（x）-kirchhoff型三臂运算符无限多种解决方案的存在结果（Vol 478，PG 1133,2019）
2. Existence results of infinitely many solutions for p(x)-Kirchhoff type triharmonic operator with Navier boundary conditions [J] . Rahal Belgacem Journal of Mathematical Analysis and Applications . 2019,第2期

机译：具有Navier边界条件的P（x）-kirchhoff型三臂运算符无限多种解决方案的存在结果
3. Infinitely many solutions for nonlocal elliptic p-Kirchhoff type equation under Neumann boundary condition [J] . E. M. Hssini, M. Massar, M. Talbi, International journal of mathematical analysis . 2013,第21a24期

机译：Neumann边界条件下非局域椭圆p-Kirchhoff型方程的无穷多个解
4. Some boundary feedback control of a Nonlinear string equation of Kirchhoff-Carrier type [C] . Kim Daewook, Jung Il Hyo 2011 11th International Conference on Control, Automation and Systems . 2011

机译：Kirchhoff-Carrier型非线性弦方程的边界反馈控制
5. Exact solutions to the six-vertex model with domain wall boundary conditions and uniform asymptotics of discrete orthogonal polynomials on an infinite lattice. [D] . Liechty, Karl Edmund. 2010

机译：具有域壁边界条件和无限格上离散正交多项式的一致渐近性的六顶点模型的精确解。
6. Existence of Multiple Solutions for a p-Kirchhoff Problem with Nonlinear Boundary Conditions [O] . Zonghu Xiu, Caisheng Chen 2013

机译：具有非线性边界条件的p-Kirchhoff问题的多个解的存在性
7. Existence and Hölder regularity of infinitely many solutions to a p-Kirchhoff-type problem involving a singular nonlinearity without the Ambrosetti–Rabinowitz (AR) condition [O] . Debajyoti Choudhuri 2021

机译：对于没有Ambrosetti-Rabinowitz（AR）条件的单次非线性的P-Kirchhoff型问题存在和Hölder规律性的存在和Hölder规律性

Infinitely Many Solutions for Anisotropic Discrete Boundary Value Problems of Kirchhoff Type

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