典型文献
A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY
文献摘要:
We consider the logarithmic elliptic equation with singular nonlinearity{Δu+ulogu2+λ/uγ=0,inΩu>0,in Ω,u=0,on ?Ω,where Ω C RN(N≥3)is a bounded domain with a smooth boundary,0<γ<1 and λ is a positive constant.By using a variational method and the critical point theory for a nonsmooth functional,we obtain the existence of two positive solutions.This result generalizes and improves upon recent results in the literature.
文献关键词:
中图分类号:
作者姓名:
Chunyu LEI;Jiafeng LIAO;Changmu CHU;Hongmin SUO
作者机构:
School of Sciences,GuiZhou Minzu University,Guiyang 550025,China;College of Mathematics Education,China West Normal University,Nanchong 637002,China
文献出处:
引用格式:
[1]Chunyu LEI;Jiafeng LIAO;Changmu CHU;Hongmin SUO-.A NONSMOOTH THEORY FOR A LOGARITHMIC ELLIPTIC EQUATION WITH SINGULAR NONLINEARITY)[J].数学物理学报(英文版),2022(02):502-510
A类:
NONSMOOTH,THEORY,LOGARITHMIC,ELLIPTIC,EQUATION,SINGULAR,NONLINEARITY,u+ulogu2+
B类:
FOR,WITH,We,consider,logarithmic,elliptic,equation,singular,nonlinearity,where,RN,bounded,domain,boundary,positive,constant,By,using,variational,method,critical,point,theory,nonsmooth,functional,we,obtain,existence,two,solutions,This,generalizes,improves,upon,recent,results,literature
AB值:
0.580702
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