arXiv:1404.6973 Abstract | arXiv Analytics

arXiv:1404.6973 [math.AP]Abstract References Reviews Resources

Lack of ground state for NLS on bridge-type graphs

Riccardo Adami, Enrico Serra, Paolo Tilli

Published 2014-04-28Version 1

We prove the nonexistence of ground states for NLS on bridge-like graphs, i.e. graphs with two halflines and four vertices, of which two at infinity, with Kirchhoff matching conditions. By ground state we mean any minimizer of the energy functional among all functions with the same mass.

Comments: 13 pages, 6 figures, Contribution to the proceedings of the Workshop "Mathematical Technology of Networks", ZiF Bielefeld, December 4-7, 2013

Categories: math.AP

Subjects: 35Q55, 35Q51, 35Q40

Keywords: ground state, bridge-type graphs, kirchhoff matching conditions, energy functional, nonexistence

Related articles: Most relevant | Search more

arXiv:1605.09095 [math.AP] (Published 2016-05-30)

Orbital stability and uniqueness of the ground state for NLS in dimension one

Daniele Garrisi, Vladimir Georgiev

arXiv:1510.04479 [math.AP] (Published 2015-10-15)

Global dynamics above the ground state for the energy-critical Schrodinger equation with radial data

Kenji Nakanishi, Tristan Roy

arXiv:1509.04721 [math.AP] (Published 2015-09-15)

Ground state on the dumbbell graph