典型文献
EXISTENCE RESULTS FOR SINGULAR FRACTIONAL p-KIRCHHOFF PROBLEMS
文献摘要：
This paper is concerned with the existence and multiplicity of solutions for sin-gular Kirchhoff-type problems involving the fractional p-Laplacian operator.More precisely,we study the following nonlocal problem:{M(∫∫R2N|x|α1p|y|α2p|u(x)-u(y)|p/|x-y|N+ps dxdy)Lspu=|x|βf(u)inΩ,u=0 in RN \ Ω,where Lp is the generalized fractional p-Laplacian operator,N≥1,s ∈(0,1),α1,α2,β∈R,Ω ? RN is a bounded domain with Lipschitz boundary,and M:R+0 → R+0,f:Ω → R are continuous functions.Firstly,we introduce a variational framework for the above prob-lem.Then,the existence of least energy solutions is obtained by using variational methods,provided that the nonlinear term f has(θp-l)-sublinear growth at infinity.Moreover,the existence of infinitely many solutions is obtained by using Krasnoselskii's genus theory.Fi-nally,we obtain the existence and multiplicity of solutions if f has(θp-1)-superlinear growth at infinity.The main features of our paper are that the Kirchhoff function may vanish at zero and the nonlinearity may be singular.
文献关键词：
中图分类号：
作者姓名：
Mingqi XIANG;Vicentiu D.RǎDULESCU;Binlin ZHANG
作者机构：
College of Science,Civil Aviation University of China,Tianjin 300300,China;Faculty of Applied Mathematics,AGH University of Science and Technology,al.Mickiewicza 30,30-059 Kraków,Poland;Department of Mathematics,University of Craiova,Street A.I.Cuza No.13,200585 Craiova,Romania;Institute of Mathematics,Physics and Mechanics,Jadranska 19,1000 Ljubljana,Slovenia;College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China
文献出处：
引用格式：
[1]Mingqi XIANG;Vicentiu D.RǎDULESCU;Binlin ZHANG-.EXISTENCE RESULTS FOR SINGULAR FRACTIONAL p-KIRCHHOFF PROBLEMS)[J].数学物理学报（英文版）,2022(03):1209-1224
A类：
EXISTENCE,SINGULAR,FRACTIONAL,KIRCHHOFF,PROBLEMS,R2N,N+ps,Lspu,R+0,superlinear
B类：
RESULTS,FOR,This,paper,concerned,existence,multiplicity,solutions,Kirchhoff,type,problems,involving,fractional,Laplacian,operator,precisely,we,study,following,nonlocal,1p,2p,dxdy,RN,where,Lp,generalized,bounded,domain,Lipschitz,boundary,are,continuous,functions,Firstly,introduce,variational,framework,above,Then,least,energy,obtained,by,using,methods,provided,that,term,has,sublinear,growth,infinity,Moreover,infinitely,many,Krasnoselskii,genus,theory,nally,if,features,our,may,vanish,zero,nonlinearity,be,singular
AB值：
0.486454
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