Classification of nonnegative solutions to some nonlinear Schrodinger systems involving the fractional Laplacian and its applications-天津大学数学学院

Classification of nonnegative solutions to some nonlinear Schrodinger systems involving the fractional Laplacian and its applications

2018-12-13 00:00

Speaker: Jing WANG

unit:

Time: 2018-09-28 11:00-12:00

Venue: The Wei Jin Road No. 6 Building 111 campus teaching

starttime: 2018-09-28 11:00-12:00

Profile:

Theme：: Classification of nonnegative solutions to some nonlinear Schrodinger systems involving the fractional Laplacian and its applications

Time：: 2018-09-28 11:00-12:00

Venue：: The Wei Jin Road No. 6 Building 111 campus teaching

Speaker：: Jing WANG

Abstract

We classify the nonnegative solutions of some non-cooperate Schrodinger systems involving the fractional Laplacian based on the extension method introduce by Caﬀarelli and Silvestre. As a byproduct, we obtain new Liouville theorem and sharp vector-valued Gagliardo-Nirenberg type inequality involving fractional Laplacian.

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Seminars_raw

Classification of nonnegative solutions to some nonlinear Schrodinger systems involving the fractional Laplacian and its applications

Abstract