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典型文献
Existence and Non-Existence of Solutions to Some Degenerate Coercivity Quasilinear Elliptic Equations with Measure Data
文献摘要:
In this article,we study the existence and non-existence of weak solutions to the fol-lowing quasilinear elliptic problem with principal part having degenerate coercivity and nonlinear term involving gradient,{-div(|▽u|p-2▽u/(1+|u|)θ(p-1))+|u|p-2u|▽u|p/(1+|u|)θp=μ,x∈Ω,u=0,x ∈?Ω,where Ω∈RN(N≥3)is a bounded smooth domain,1<p<N,0≤θ<1,μ is a Radon measure.
文献关键词:
作者姓名:
Maoji RI;Xiangrui LI;Qiaoyu TIAN;Shuibo HUANG
作者机构:
School of Mathematics and Computer Science,Northwest Minzu University,Gansu 730030,P.R.China;Key Laboratory of Streaming Data Computing Technologies and Application,Northwest Minzu University,Gansu 730030,P.R.China
文献出处:
引用格式:
[1]Maoji RI;Xiangrui LI;Qiaoyu TIAN;Shuibo HUANG-.Existence and Non-Existence of Solutions to Some Degenerate Coercivity Quasilinear Elliptic Equations with Measure Data)[J].数学研究及应用,2022(02):173-188
A类:
Quasilinear
B类:
Existence,Non,Solutions,Some,Degenerate,Coercivity,Elliptic,Equations,Measure,Data,In,this,article,study,existence,weak,solutions,fol,lowing,quasilinear,elliptic,problem,principal,part,having,degenerate,coercivity,nonlinear,term,involving,gradient,div,1+,2u,where,RN,bounded,smooth,domain,Radon,measure
AB值:
0.77932
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