On the Classification of Stable Solutions of the Fractional Equation

Rahal Belgacem; Zaidi Cherif

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On the Classification of Stable Solutions of the Fractional Equation

机译：论分数方程稳定解的分类

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摘要

In this paper, we study the nonexistence result for the following nonlinear elliptic equation:

机译：在本文中，我们研究了以下非线性椭圆等式的不存在导致：

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来源
《Potential analysis: An international journal devoted to the interactions between potential theory, probability theory, geometry and functional analysis》 |2019年第4期|共15页
作者
Rahal Belgacem; Zaidi Cherif;
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作者单位

Univ Sfax Fac Sci Dept Math BP 1171 Sfax 3000 Tunisia;

Univ Sfax Fac Sci Dept Math BP 1171 Sfax 3000 Tunisia;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Morse index; Liouville-type theorems; Pohozaev identity; Monotonicity formula;

机译：摩尔斯索引;刘维尔型定理;Pohozaev身份;单调公式;

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专利

1. Classification of Stable Solutions to a Fractional Singular Elliptic Equation with Weight [J] . Anh Tuan Duong, Vu Trong Luong, Thi Quynh Nguyen Acta Applicandae Mathematicae: An International Journal on Applying Mathematics and Mathematical Applications . 2020,第1期

机译：重量分数奇异椭圆方程稳定解决方案的分类
2. Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations [J] . Dabiri Arman, Butcher Eric A. Nonlinear dynamics . 2017,第1期

机译：用于多阶分数微分方程数值解的稳定分数Chebyshev差异矩阵
3. The Classification of Traveling Wave Solutions to Space-Time Fractional Resonance Nonlinear Schr?dinger Type Equation with a Special Kind of Fractional Derivative [J] . Lianguang Jia, Li Tang Advances in Mathematical Physics . 2021,第a期

机译：具有特殊分数衍生物的时空分流共振非线性血液中行波解决方案的分类
4. On Existence and Parameterization of Solutions to Stable, Proper and Rational Fractional Matrix Equations AX + YB = E and AXB -YC = -D [C] . Li XIE, Shiu Kit TSO Chinese control conference . 2000

机译：稳定，适当和有理分数阶矩阵方程AX + YB = E和AXB -YC = -D的解的存在性和参数化
5. The numerical solutions of fractional differential equations with fractional Taylor vector [D] . Krishnasamy Saraswathy, Vidhya. 2016

机译：分数阶泰勒向量的分数阶微分方程的数值解
6. Analytical Solutions for Multi-Time Scale Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion and Their Applications [O] . Xiao-Li Ding, Juan J. Nieto 2018

机译：分数褐色运动及其应用驱动的多时间尺度分数随机微分方程的分析解
7. Some energy estimates for stable solutions to fractional Allen–Cahn equations [O] . Changfeng Gui, Qinfeng Li 2020

机译：一些能量估算分数艾伦 - CAHN方程的稳定解决方案

On the Classification of Stable Solutions of the Fractional Equation

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