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典型文献
Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term
文献摘要:
In this paper,a class of Kirchhoff type equations in RN(N≥3)with zero mass and a critical term is studied.Under some appropriate condi-tions,the existence of multiple solutions is obtained by using variational methods and a variant of Symmetric Mountain Pass theorem.The Second Concentration Compactness lemma is used to overcome the lack of compactness in critical problem.Compared to the usual Kirchhoff-type problems,we only require the nonlinearity to satisfy the classical superquadratic condition(Ambrosetti-Rabinowitz condition).
文献关键词:
作者姓名:
Chongqing WEI;Anran LI
作者机构:
School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China
文献出处:
引用格式:
[1]Chongqing WEI;Anran LI-.Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term)[J].中国数学前沿,2022(05):813-828
A类:
superquadratic
B类:
Multiplicity,nontrivial,solutions,Kirchhoff,type,equations,zero,mass,critical,term,In,this,paper,RN,studied,Under,some,appropriate,existence,multiple,obtained,by,using,variational,methods,variant,Symmetric,Mountain,Pass,theorem,Second,Concentration,Compactness,lemma,used,overcome,lack,compactness,Compared,usual,problems,we,only,require,nonlinearity,satisfy,classical,condition,Ambrosetti,Rabinowitz
AB值:
0.654145
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