Existence and Non-Existence of Solutions to Some Degenerate Coercivity Quasilinear Elliptic Equations with Measure Data  

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作  者:Maoji RI Xiangrui LI Qiaoyu TIAN Shuibo HUANG 

机构地区:[1]School of Mathematics and Computer Science,Northwest Minzu University,Gansu 730030,P.R.China [2]Key Laboratory of Streaming Data Computing Technologies and Application,Northwest Minzu University,Gansu 730030,P.R.China

出  处:《Journal of Mathematical Research with Applications》2022年第2期173-188,共16页数学研究及应用(英文版)

基  金:Supported by the National Natural Science Foundation of China(Grant No.11761059);Program for Yong Talent of State Ethnic Affairs Commission of China(Grant No.XBMU-2019-AB-34);Fundamental Research Funds for the Central Universities(Grant No.31920200036);Innovation Team Project of Northwest Minzu University(Grant No.1110130131);First-rate Discipline of Northwest Minzu University(Grant No.2019XJYLZY-02)。

摘  要:In this article,we study the existence and non-existence of weak solutions to the following quasilinear elliptic problem with principal part having degenerate coercivity and nonlinear term involving gradie,{-div(|∇u|p−2∇u/(1+|u|)θ(p−1))+|u|p−2u|∇u|p/(1+|u|)θp=μ,x∈Ω,u=0,x∈■ΩwhereΩ■R^(N)(N≥3)is a bounded smooth domain,1,μis a Radon measure.

关 键 词:elliptic equation degenerate coercivity measures data EXISTENCE NON-EXISTENCE 

分 类 号:O175.25[理学—数学]

 

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