典型文献
THE EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS TO BI-HARMONIC EQUATIONS WITH A p-LAPLACIAN
文献摘要：
We investigate the bi-harmonic problem{Δ2u-α▽·(f(▽u))-βΔpu=g(x,u)in Ω,?u/?n=0,?(Δu)/?n=0 on ?Ω,where Δ2u=Δ(Δu),Δpu=div(|▽u|p-2▽u)with p＞2.Ω is a bounded smooth domain in RN,N≥1.By using a special function space with the constraint ∫Ω udx=0,under suitable assumptions on f and g(x,u),we show the existence and multiplicity of sign-changing solutions to the above problem via the Mountain pass theorem and the Fountain theorem.Recent results from the literature are extended.
文献关键词：
中图分类号：
作者姓名：
Wenqing WANG;Anmin MAO
作者机构：
Department of Mathematics,Wuhan University of Technology,Wuhan 430071,China;School of Mathematical Sciences,Qufu Normal University,Shandong 273165,China
文献出处：
引用格式：
[1]Wenqing WANG;Anmin MAO-.THE EXISTENCE AND NON-EXISTENCE OF SIGN-CHANGING SOLUTIONS TO BI-HARMONIC EQUATIONS WITH A p-LAPLACIAN)[J].数学物理学报（英文版）,2022(02):551-560
A类：
EXISTENCE,CHANGING,HARMONIC,EQUATIONS,LAPLACIAN,udx
B类：
THE,AND,NON,OF,SIGN,SOLUTIONS,TO,BI,WITH,We,investigate,bi,harmonic,problem,2u,pu,where,div,bounded,smooth,domain,RN,By,using,special,function,space,constraint,under,suitable,assumptions,we,show,existence,multiplicity,sign,changing,solutions,above,via,Mountain,pass,theorem,Fountain,Recent,results,from,literature,are,extended
AB值：
0.652637
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
