Can I read Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one on EtoBox?

Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one by Filippo Boni; Simone Dovetta is a Mathematics article available to read on EtoBox.

What is Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one about?

We investigate the problem of existence and uniqueness of ground states at fixed mass for two families of focusing nonlinear Schrödinger equations on the line. The first family consists of NLS with power nonlinearities concentrated at a point. For such model, we prove existence and uniqueness of ground states at every mass when the nonlinearity power is L 2 -subcritical and at a threshold value of the mass in the L 2 -critical regime. The second family is obtained by adding a standard power nonlinearity to the previous setting. In this case, we prove existence and uniqueness at every mass in the doubly subcritical case, namely when both the powers related to the pointwise and the standard nonlinearity are subcritical. If only one power is critical, then existence and uniqueness hold only at masses lower than the critical mass associated to the critical nonlinearity. Finally, in the doubly critical case ground states exist only at critical mass, whose value results from a non-trivial interplay between the two nonlinearities.

Who reads Prescribed mass ground states for a doubly nonlinear Schrödinger equation in dimension one?

Author

Filippo Boni; Simone Dovetta

Publisher

Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0022-247X)

Published

2021

Language

EN

Field

Mathematics (Physical Sciences)