Normalized Solution for p-Kirchhoff Equation with a L2-supercritical Growth  

作　　者：Zhi-min REN Yong-yi LAN 

机构地区：[1]School of Sciences,Jimei University,Xiamen 361005,China

出　　处：《Acta Mathematicae Applicatae Sinica》2024年第2期414-429,共16页应用数学学报（英文版）

基　　金：supported by Natural Science Foundation of Fujian Province(No.2022J01339;2020J01708);National Foundation Training Program of Jimei University(ZP2020057).

摘　　要：In this paper,we investigate the following p-Kirchhoff equation{∫R^(N)|u|^(2)dx=ρ,(a+b)∫RN(|Δu}^(p)+|u|^(p))dx)(-Δpu+|u|^(p-2u)=|u|^(s-2)u+μu,x∈R^(N),where a>0,b≥0,p>0 are constants,constants,p*=N-P/Np is the critical Sobolev exponent,μis a Lagrange multiplier,-Δpu=-div(|Δu|_(p-2)u),2<p<N2p,μ∈R,and s∈(2N/N+2p-2,p*).We demonstratethat he p-Kirchhoff equation has a normalized solution using the mountain pass lemma and some analysis techniques.

关 键 词：p-Kirchhoff equation normalized solution mountain-pass lemma 

分 类 号：O175[理学—数学]