騰訊會議ID：582 370 409
報告題目：On the planar Schrodinger-Poisson system with the axially symmetric potential
報告摘要：In this talk, we develop some new variational and analytic techniques to prove that the planar Schrodinger-Poisson system
admits a nontrivial solution and a ground state solution possessing the least energy in the axially symmetric function space.
報告題目：Glueing saddle solutions for the Allen-Cahn equation
報告摘要：In this talk, we are interested in the construction of new multiple-end solutions of the Allen-Cahn equation. We would like to use infinite dimensional Lyapunov-Schmidt reduction method to glue saddle solutions together, producing mulitiple-end solutions with almost parallel ends. On the technical side, here we also need to use the Cauchy-data matching method. Similar ideas can be applied to construct solutions for the Allen-Cahn equation with a billiard type configuration.