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Solutions To A Class Of Quasilinear Schr(?)dinger Equation

Posted on:2022-01-14Degree:MasterType:Thesis
Country:ChinaCandidate:Y F WangFull Text:PDF
GTID:2480306326489914Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
This paper mainly studies the quasilinear Schrodinger equation with critical or super-critical exponents and concave term:where N?3,?,?>0,V(x)?C(RN,R),f,h?C(R,R).The nonlinearity-?f(u)+h(u)+?|?|p-2u involves critical or supercritical exponents and concave term.The existence of solutions of the equation when ?<0 or ?>0 is obtained by means of variable substitution,truncation technique and Mountain pass theorem under appropriate conditions.
Keywords/Search Tags:Quasilinear Schr(?)dinger equation, Mountain pass theorem, Concave and convex nonlinearities, Supercritical exponent
PDF Full Text Request
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