8 papers
Global well-posedness for intermediate NLS with nonvanishing conditions at infinity
Takafumi Akahori, Rana Badreddine, Slim Ibrahim +1
The intermediate nonlinear Schrödinger equation (INLS) describes the dynamics of the envelope of weakly nonlinear internal waves in a stratified fluid of finite depth. While the IN…
Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2
In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…
Nondegeneracy of ground states for nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies in three and four dimensions
Takafumi Akahori, Miho Murata
We consider nonlinear scalar field equations involving the Sobolev-critical exponent at high frequencies . Since the limiting profile of the ground state as is the…
Non-existence of ground states and gap of variational problems for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensions
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
In this paper, we consider minimization problems related to the combined power-type nonlinear scalar field equations involving the Sobolev critical exponent in three space dimensio…
Uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent and a large frequency parameter in three and four dimensions
Takafumi Akahori, Miho Murata
We prove the uniqueness of ground states for combined power-type nonlinear scalar field equations involving the Sobolev critical exponent and a large frequency parameter. This stud…
Pitchfork bifurcation at line solitons for nonlinear Schrödinger equations on the product space
Takafumi Akahori, Yakine Bahri, Slim Ibrahim +1
In this paper, we study the bifurcation problem from a line soliton for a stationary nonlinear Schrödinger equation on the product space . We extend e…