Ground state and multiple solutions for the fractional Schrodinger-Poisson system with critical Sobolev exponent

Luo Huxiao; Tang Xianhua

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Ground state and multiple solutions for the fractional Schrodinger-Poisson system with critical Sobolev exponent

机译：带有临界SoboLev指数的分数施罗登 - 泊松系统的地面状态和多解决方案

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摘要

In this paper, we study the following doubly singularly perturbed fractional Schrodinger Poisson system with critical Sobolev exponent

机译：在本文中，我们研究以下双重扰动的分数Schrodinger Poisson系统，具有关键的SoboLev指数

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《Nonlinear analysis. Real world applications》 |2018年第2018期|共29页
作者
Luo Huxiao; Tang Xianhua;
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作者单位

Cent S Univ Sch Math &

Stat Changsha 410083 Hunan Peoples R China;

Cent S Univ Sch Math &

Stat Changsha 410083 Hunan Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;
关键词
Fractional Schrodinger-Poisson system; Penalization scheme; Ljusternik-Schnirelmann category;

机译：分数施罗德格 - 泊松系统;惩罚计划;Ljusternik-Schnirelmann类别;

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专利

1. Ground state and multiple solutions for the fractional Schrodinger-Poisson system with critical Sobolev exponent [J] . Luo Huxiao, Tang Xianhua Nonlinear analysis. Real world applications . 2018,第期

机译：带有临界SoboLev指数的分数施罗登 - 泊松系统的地面状态和多解决方案
2. Existence of ground state solutions for the nonlinear fractional Schrodinger-Poisson system with critical Sobolev exponent (vol 261, pg 3061, 2016) [J] . Teng Kaimin Journal of Differential Equations . 2017,第3aPta2期

机译：具有临界SoboLev指数的非线性分数施罗德格 - 泊松系统地面解决方案的存在（Vol 261，PG 3061,2016）
3. Existence of ground state solutions for the nonlinear fractional Schrodinger-Poisson system with critical Sobolev exponent [J] . Teng Kaimin Journal of Differential Equations . 2016,第6期

机译：具有临界Sobolev指数的分数阶非线性Schrodinger-Poisson系统基态解的存在性
4. Existence of Solution for Singular Elliptic Systems Involving Critical Sobolev-Hardy Exponents [C] . Xiaoli Pan International conference on informatics and management science;IMS 2012 . 2013

机译：具有临界Sobolev-Hardy指数的奇异椭圆系统解的存在性
5. On non-homogeneous quasi-linear PDEs involving thep-Laplacian and the critical Sobolev exponent. [D] . Yuan, Chaogui. 1998

机译：关于涉及p-Laplacian和临界Sobolev指数的非齐次准PDE。
6. Solutions for the quasi-linear elliptic problems involving the critical Sobolev exponent [O] . Yanbin Sang, Siman Guo -1

机译：涉及临界Sobolev指数的拟线性椭圆问题的解
7. Positive ground state solutions for fractional Laplacian system with one critical exponent and one subcritical exponent [O] . Maoding Zhen, Jinchun He, Haoyuan Xu, 2019

机译：一个临界指数和一个亚临界指数的分数拉普拉斯系统正面态解

Ground state and multiple solutions for the fractional Schrodinger-Poisson system with critical Sobolev exponent

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