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
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)