Existence and multiplicity of solutions for fractional p Laplacian Schr dinger Kirchhoff type equations

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1、ComplexVariablesandEllipticEquationsAnInternationalJournalISSN:1747-6933(Print)1747-6941(Online)Journalhomepage:http://www.tandfonline.com/loi/gcov20Existenceandmultiplicityofsolutionsforfractionalp-LaplacianSchrödinger–KirchhofftypeequationsNematNyamoradi&La

2、hibIbrahimZaidanTocitethisarticle:NematNyamoradi&LahibIbrahimZaidan(2018)Existenceandmultiplicityofsolutionsforfractionalp-LaplacianSchrödinger–Kirchhofftypeequations,ComplexVariablesandEllipticEquations,63:3,346-359,DOI:10.1080/17476933.2017.1310851Tolinktot

3、hisarticle:https://doi.org/10.1080/17476933.2017.1310851Publishedonline:28Jun2017.SubmityourarticletothisjournalArticleviews:104ViewrelatedarticlesViewCrossmarkdataCitingarticles:1ViewcitingarticlesFullTerms&Conditionsofaccessandusecanbefoundathttp://www.tand

4、fonline.com/action/journalInformation?journalCode=gcov20COMPLEXVARIABLESANDELLIPTICEQUATIONS,2018VOL.63,NO.3,346–359https://doi.org/10.1080/17476933.2017.1310851Existenceandmultiplicityofsolutionsforfractionalp-LaplacianSchrödinger–KirchhofftypeequationsNematN

5、yamoradiaandLahibIbrahimZaidana,baFacultyofSciences,DepartmentofMathematics,RaziUniversity,Kermanshah,Iran;bEducationCollege,UniversityOfBabylon,Babil,IraqABSTRACTARTICLEHISTORYInthispaper,weusevariationalmethodstostudyexistenceReceived1January2017ofsolutions

6、forthefollowingfractionalp-LaplacianequationsofAccepted20March2017Schrödinger–KirchhofftypeCOMMUNICATEDBYP.Pucci⎛⎞p−1pKEYWORDS⎜

7、u(x)−u(y)

8、dxdy⎟Fractionalp-Laplacian;⎝a+b⎠

9、x−y

10、N+psfractionalSchrödingerR2Nequation;mountainpasssp−2Ntheorem;variational×(−)pu+λV

11、(x)

12、u

13、u=f(x,u)inR,methodswhereN>ps,a,b>0areconstants,λisaparameter,(−)sAMSSUBJECTpCLASSIFICATIONSisthefractionalp-Laplaceoperatorwith0

14、offractionalp-LaplacianequationsofSchrödinger–Kirchhofftypeofthefollowingform⎛⎞p−1p⎜

15、u(x)−u(y)

16、⎟sp−2N⎝a+b

17、x−y

18、N+psdxdy⎠(−)pu+λV(x)

19、u

20、u=f(x,u)inR,(1)R2NwhereN>ps,00areconsta