Infinitely Many Solutions for Semilinear Δ_γ-Differential Equations in R~N without the Ambrosetti-Rabinowitz Condition

Duong Trong Luyen; Le Thi Hong Hanh

首页> 外文期刊>Minimax theory and its applications >Infinitely Many Solutions for Semilinear Δ_γ-Differential Equations in R~N without the Ambrosetti-Rabinowitz Condition

【24h】

Infinitely Many Solutions for Semilinear Δ_γ-Differential Equations in R~N without the Ambrosetti-Rabinowitz Condition

机译：无限多的半线性的解决方案Δ_γ微分方程在R ~ NAmbrosetti-Rabinowitz条件

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

We study the existence of infinitely many nontrivial solutions of the semilinear Δ_γ-differential equations in R~N and the potential b(x) and nonlinearity f(χ, u) are not assumed to be continuous, moreover f may not satisfy the Ambrosetti-Rabinowitz (AR) condition. Under some growth conditions on b and f, we show that there are infinitely many solutions to the problem.

机译：我们研究无穷多的存在非平凡解的半线性Δ_γ在R ~ N和微分方程潜在的b (x)和非线性f(χ,u)认为是连续的,而且可能不会满足Ambrosetti-Rabinowitz (AR)条件。一些增长条件下b和f,我们表演有无穷多的解决方案问题。

著录项

来源
《Minimax theory and its applications》 |2020年第1期|7-18|共12页
作者
Duong Trong Luyen; Le Thi Hong Hanh;
展开▼
作者单位

Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Due Thang University, Ho Chi Minh City, Vietnam;

Faculty of Mathematics and Statistics, Ton Due Thang University, Ho Chi Minh City, Vietnam;

Department of Mathematics, Hoa Lu University, Ninh Nhat, Ninh Binh City, Vietnam;

展开▼
收录信息
原文格式 PDF
正文语种英语
中图分类
关键词
Mountain roads; Calculus of variation; semilinearPROBLEM SOLUTION;

机译：山路,演算变化,semilinearPROBLEM解决方案;

相似文献

外文文献
中文文献

1. REFLECTED BACKWARD STOCHASTIC DIFFERENTIAL EQUATION WITH JUMPS AND VISCOSITY SOLUTION OF SECOND ORDER INTEGRO-DIFFERENTIAL EQUATION WITHOUT MONOTONICITY CONDITION: CASE WITH THE MEASURE OF L(E)VY INFINITE [J] . Lamine SYLLA 数学物理学报（英文版） . 2019,第003期
2. THE EXISTENCE OF NONTRIVIAL SOLUTIONS TO A SEMILINEAR ELLIPTIC SYSTEM ON RN WITHOUT THE AMBROSETTI-RABINOWITZ CONDITION [J] . 李工宝, 王春花数学物理学报：B辑英文版 . 2010,第006期
3. HOMOCLINIC SOLUTIONS OF NONLINEAR LAPLACIAN DIFFERENCE EQUATIONS WITHOUT AMBROSETTI-RABINOWITZ CONDITION [J] . Antonella NASTASI, Stepan TERSIAN, Calogero VETRO 数学物理学报（英文版） . 2021,第003期
4. The Spike-Type Solution of Second-Order Semilinear Differential Equation with Integral Boundary Conditions [J] . XIEFeng, JIN Zhao-yang 东华大学学报（英文版） . 2011,第003期
5. 二阶齐次线性微分方程解的相似结构 The Similar Structure of Solutions of Second-Order Li-near Homogeneous Differential Equation [J] . Pure Mathematics . 2012,第2期

机译：二阶齐次线性微分方程解的相似结构 The Similar Structure of Solutions of Second-Order Li-near Homogeneous Differential Equation
6. 分数阶微分方程的矩阵级数解 Metric Series Solutions of Fractional Differential Equations [J] . Pure Mathematics . 2012,第2期

机译：分数阶微分方程的矩阵级数解 Metric Series Solutions of Fractional Differential Equations
7. 多项式系数的齐次微分方程解的级与零点 The Order and Zeros of the Solutions of the Differential Equation with Polynomial Coefficients [J] . Pure Mathematics . 2011,第1期

机译：多项式系数的齐次微分方程解的级与零点 The Order and Zeros of the Solutions of the Differential Equation with Polynomial Coefficients
8. Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题 [D] . Zheng, Xiangcheng. 2020

机译：Variable-Order Fractional Partial Differential Equations: Analysis, Approximation and Inverse Problem =变阶分数阶偏微分方程: 分析，近似与反问题
9. Finite Type System of Partial Differential Operators and Decomposition of Solutions of Partial Differential Equations (位相解析的方法による偏微分方程式論研究会及び散乱理論の数学研究会報告集) [O] . MATSUURA SHIGETAKE 1967

机译：Finite Type System of Partial Differential Operators and Decomposition of Solutions of Partial Differential Equations (位相解析的方法による偏微分方程式论研究会及び散乱理论の数学研究会报告集)
10. Criterion for Approximating Time-Periodic Solutions to the Navier-StokesEquations (Critere pour l'Approximation des Solutions Periodiques des Equations de Navier-Stokes) [R] . Titi, E. S. 1991

机译：用于逼近Navier-stokes方程的时间周期解的判据（Critere pour l'ofimation des solutions periodiques des Equations de Navier-stokes）

Infinitely Many Solutions for Semilinear Δ_γ-Differential Equations in R~N without the Ambrosetti-Rabinowitz Condition

摘要

著录项

相似文献

相关主题

期刊订阅