典型文献
Multiplicity of Solutions of the Weighted p-Laplacian with Isolated Singularity and Diffusion Suppressed by Convection
文献摘要：
In this paper,the authors study the multiplicity of solutions to the weighted p-Laplacian with isolated singularity and diffusion suppressed by convection-div(|x|α▽u|▽u|p-2▽u)+λ1/|x|β|▽u|p-2▽u·x=|x|γg(|x|)in B \{0}subject to nonlinear Robin boundary value condition|x|α|▽u|p-2▽u·(n)=A-ρu on(6)B,where λ＞0,B(∩)RN(N≥2)is the unit ball centered at the origin,α＞0,p＞1,β∈R,γ＞-N,g ∈ C([0,1])with g(0)＞0,A ∈ R,ρ＞0 and(n)is the unit outward normal.The same problem with diffusion promoted by convection,namely λ≤0,has already been discussed by the last two authors(Song-Yin(2012)),where the existence,nonexistence and classification of singularities for solutions are presented.Completely different from[Song,H.J.and Yin,J.X.,Removable isolated singularities of solutions to the weighted p-Laplacian with singular convection,Math.Meth.Appl.Sci.,35,2012,1089-1100],in the present case λ＞0,namely the diffusion is suppressed by the convection,non-singular solutions are not only existent but also may be infinite which vary according only to the values of solutions at the isolated singular point.At the same time,the singular solutions may exist only if the diffusion dominates the convection.
文献关键词：
中图分类号：
作者姓名：
Liting YOU;Huijuan SONG;Jingxue YIN
作者机构：
School of Mathematical Sciences,South China Normal University,Guangzhou 510631,China;School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,China
文献出处：
引用格式：
[1]Liting YOU;Huijuan SONG;Jingxue YIN-.Multiplicity of Solutions of the Weighted p-Laplacian with Isolated Singularity and Diffusion Suppressed by Convection)[J].数学年刊B辑（英文版）,2022(05):643-658
A类：
Suppressed,Removable
B类：
Multiplicity,Solutions,Weighted,Laplacian,Isolated,Singularity,Diffusion,by,Convection,In,this,paper,authors,study,multiplicity,solutions,weighted,isolated,singularity,diffusion,suppressed,convection,div,subject,nonlinear,Robin,boundary,condition,where,RN,unit,ball,centered,origin,outward,normal,same,problem,promoted,namely,has,already,been,discussed,last,two,Song,Yin,nonexistence,classification,singularities,are,presented,Completely,different,from,Math,Meth,Appl,Sci,case,not,only,existent,but,also,may,infinite,which,vary,according,values,point,At,dominates
AB值：
0.531494
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