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RN空间中具有临界增长的线性耦合双调和系统的正解

许丽萍

应用数学2023,Vol.36Issue(2):304-318,15.
应用数学2023,Vol.36Issue(2):304-318,15.

RN空间中具有临界增长的线性耦合双调和系统的正解

Positive Solutions for a Linearly Coupled Biharmonic System Involving Critical Growth inRN

许丽萍1

作者信息

  • 1. 河南科技大学数学与统计学院,河南 洛阳471000
  • 折叠

摘要

Abstract

In this paper,we deal with a class of linearly coupled biharmonic system.Under the assumptions on the nonlinear terms being subcritical or critical,we establish the existence of positive ground state solutions for the system via Nehari manifold method.As its supplementary results,we also obtain the nonexistence of positive solutions.

关键词

线性耦合双调和系统/基态解/Nehari流形方法/正解的不存在性

Key words

Linearly coupled biharmonic system/Ground state solution/Nehari manifold method/Nonexistence of positive solution

分类

数理科学

引用本文复制引用

许丽萍..RN空间中具有临界增长的线性耦合双调和系统的正解[J].应用数学,2023,36(2):304-318,15.

基金项目

Supported by the National Natural Science Foundation of China(10671182) (10671182)

应用数学

OA北大核心CSTPCD

1001-9847

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