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Variational studies for the nonlinear logarithmic Schrodinger equations


The nonlinear logarithmic Schrodinger equations have important application backgrounds and are frontier problems in the field of nonlinear analysis, which have received extensive attention in recent years. In this proposal, we shall propose to mainly study the logarithmic nonlinear Schrodinger equations including fractional Laplacian cases. Through the research of these projects, we expect to identify new phenomena in the models and to develop some new research methods which would be useful for other related nonlinear PDEs and benefit a greater scientific research community. (AU)

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