典型文献
EXISTENCE RESULTS FOR THE KIRCHHOFF TYPE EQUATION WITH A GENERAL NONLINEAR TERM
文献摘要：
This paper is mainly concerned with existence and nonexistence results for so-lutions to the Kirchhoff type equation—(a+b ∫R3 |Vu|2)Δu+V(x)u=f(u)in R3,with the general hypotheses on the nonlinearity f being as introduced by Berestycki and Lions.Our analysis introduces variational techniques to the analysis of the effect of the nonlinearity,especially for those cases when the concentration-compactness principle cannot be applied in terms of obtaining the compactness of the bounded Palais-Smale sequences and a minimizing problem related to the existence of a ground state on the Pohozaev manifold rather than the Nehari manifold associated with the equation.
文献关键词：
中图分类号：
作者姓名：
Huirong PI;Yong ZENG
作者机构：
School of Mathematics and Information,Guangxi University,Nanning 530004,China
文献出处：
引用格式：
[1]Huirong PI;Yong ZENG-.EXISTENCE RESULTS FOR THE KIRCHHOFF TYPE EQUATION WITH A GENERAL NONLINEAR TERM)[J].数学物理学报（英文版）,2022(05):2063-2077
A类：
EXISTENCE,KIRCHHOFF,EQUATION,NONLINEAR,Berestycki
B类：
RESULTS,FOR,THE,TYPE,WITH,GENERAL,TERM,This,paper,mainly,concerned,nonexistence,results,lutions,Kirchhoff,type,equation,a+b,R3,Vu,u+V,general,hypotheses,nonlinearity,being,introduced,by,Lions,Our,analysis,introduces,variational,techniques,effect,especially,those,cases,when,concentration,compactness,principle,cannot,applied,terms,obtaining,bounded,Palais,Smale,sequences,minimizing,problem,related,ground,state,Pohozaev,manifold,rather,than,Nehari,associated
AB值：
0.653426
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