ncku-talk2018-07-03

PDE Seminar

DATE 2018-07-03　16:10-17:00

PLACE 數學館3F會議室

SPEAKER 孫俊濤教授（山東理工大學理學院）

TITLE The 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.

PDE Seminar

DATE	2018-07-03　16:10-17:00

PLACE	數學館3F會議室

SPEAKER	孫俊濤教授（山東理工大學理學院）

TITLE	The 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.