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一类 Kirchhoff-SchrÖdinger-Poisson 系统正解的存在性

赵桂兰

纺织高校基础科学学报Issue(2):198-203,6.
纺织高校基础科学学报Issue(2):198-203,6.DOI:10.13338/j.issn.1006-8341.2015.02.012

一类 Kirchhoff-SchrÖdinger-Poisson 系统正解的存在性

Existence of a positive solution to a class of Kirchhoff-SchrÖdinger-Poisson system

赵桂兰1

作者信息

  • 1. 山西大学数学科学学院,山西太原030006
  • 折叠

摘要

Abstract

The existence of a positive solution to a class of Kirchhoff‐SchrÖdinger‐Poisson sys‐tem was studied .Under the assumptions of f(t)≠ t is subcritical and g(t)≠ |t|p-1 t is also gen‐eral ,the boundedness of the Palais‐Smale sequence was obtained by a cut‐off function and a Po‐hozeav type identity .Moreover ,the existence of a positive solution was obtained by variational methods ,and the existence of solutions for Kirchhoff‐type equation ,and SchrÖdinger‐Poisson system was extended .

关键词

Kirchhoff-SchrÖdinger-Poisson系统/截断函数/Pohozaev恒等式

Key words

Kirchhoff-SchrÖdinger-Poisson system/cut-off function/Pohozeav type identity

分类

数理科学

引用本文复制引用

赵桂兰..一类 Kirchhoff-SchrÖdinger-Poisson 系统正解的存在性[J].纺织高校基础科学学报,2015,(2):198-203,6.

基金项目

国家自然科学基金资助项目(11071149,11301313);山西省自然科学基金资助项目 ()

纺织高校基础科学学报

OACSTPCD

1006-8341

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