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Infinitely Many Solutions for a Nonlinear Schor"odinger Equation with General Nonlinearity

2018-12-13 00:00

Speaker: Yohei Sato

unit:

Time: 2018-05-10 16:10-16:55

Venue: Room 111, Center for Applied Mathematics

starttime: 2018-05-10 16:10-16:55

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Theme：: Infinitely Many Solutions for a Nonlinear Schor"odinger Equation with General Nonlinearity

Time：: 2018-05-10 16:10-16:55

Venue：: Room 111, Center for Applied Mathematics

Speaker：: Yohei Sato

Abstract

    We consider about the existence of infinitely many solutions for-\Delta u + V(x) u = f(u) in R^N, u \in H^1(\R^N).
    Here, when |x| goes to infinity, V(x) approaches to a positive constantand V(x) satisfies some conditions.
    We require conditions on f (u) only around 0 and at infinity.
    This is a joint work with Masataka Sibata (Tokyo Institute of Technology).

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Seminars_raw

Infinitely Many Solutions for a Nonlinear Schor"odinger Equation with General Nonlinearity

Abstract