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Solutions To Three Kinds Of Fractional Schr(?)dinger Equations

Posted on:2023-08-02Degree:MasterType:Thesis
Country:ChinaCandidate:S S WangFull Text:PDF
GTID:2530306923484804Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we study the following three kinds of fractional Schrodinger equations with different potential:(?)and(?) and (?) where p ∈(1,2)in(1),p ∈(3+4s/3,3+2s/3-2s)in(3),V is different potentials,s ∈(3/4,1),β,λ,ω∈R are parameters,a and b are positive constants.We obtain the existence and multiplicity of solutions of the above three equations by variational methods especially fountain theorem.
Keywords/Search Tags:Fractional Schr(?)dinger equation, Coulomb potential, PS condition, variational methods, multiplicity, Hardy potential, normalized solutions
PDF Full Text Request
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