PDE Seminar


DATE2018-07-03 16:10-17:00

PLACE數學系3F會議室

SPEAKER孫俊濤 教授(山東理工大學理學院

TITLEThe Filtration of Nehari Manifold and Its Application in Some Nonlocal Problems

ABSTRACT Schrodinger-Poisson system, also known as the nonlinear Schrodinger-Maxwell equations, is suggested as a model describing the interaction of a charged particle with the electrostatic field in quantum mechanics. In this talk, by introducing a new set, which is regarded as the filtration of the Nehari manifold, and together with variational methods, we are concerned with the existence of positive solution for a class of non-autonomous Schrodinger-Poisson systems without any symmetry assumptions. Furthermore,the existence of ground state solution is also obtained.