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Nodal Solutions For Quasilinear Schr(o|¨)dinger Equations With Critical Nonlinearlity And Non-square Dispersion

Posted on:2015-01-24Degree:MasterType:Thesis
Country:ChinaCandidate:X J YanFull Text:PDF
GTID:2250330428967687Subject:Applied Mathematics
Abstract/Summary:
This paper is concerned with a type of quasilinear Schrodinger equations of the form where λ>0, N>3,4p<q<2p2*,1<p<+oo. For any given k≥0, by using a change of variables and Nehari argument, we obtain a sign-changing minimizer with k nodes.
Keywords/Search Tags:quasilinear Schrodinger equations, critical exponents, nodal solutions
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