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Normalized Solutions For The Nonlinear Biharmonic Schrodinger Equation With P-laplacian

Posted on:2020-04-17Degree:MasterType:Thesis
Country:ChinaCandidate:W Q ZhangFull Text:PDF
GTID:2370330596486955Subject:mathematics
Abstract/Summary:PDF Full Text Request
In this paper,we study the existence of solutions for the nonlinear biharmonic Schrodinger equation with p-Laplacian?2u-??pu+?u=|u|2?u,in RN,under the constraint?RN|u|2dx =a>0,where N>1,0<?<4/N.We divided into two cases:?>0,2?p<2*and?<0,2<p<2+4/N+2.In both cases,we proved the existence of solutions by the global minimization theory of constrained functional.
Keywords/Search Tags:biharmonic equation, p-Laplacian, critical point theorem, Gagliardo-Nirenberg inequality
PDF Full Text Request
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