演講者:孫俊濤教授
山東理工大學
日 期:2018年7月2日(星期一) 14:30
地 點:國立高雄大學理學院408室
講 題:The filtration of Nehari manifold and its application in some nonlocal problems
摘 要:
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.