65 citations · 126 across the 12 of their papers we have counts for
12 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…
Linear instability and nondegeneracy of ground state for combined power-type nonlinear scalar field equations with the Sobolev critical exponent and large frequency parameter
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi
We consider combined power-type nonlinear scalar field equations with the Sobolev critical exponent. In \cite{AIKN3}, it was shown that if the frequency parameter is sufficiently s…
Uniqueness and nondegeneracy of ground states to nonlinear scalar field equations involving the Sobolev critical exponent in their nonlinearities for high frequencies
Takafumi Akahori, Slim Ibrahim, Norihisa Ikoma +2
The study of the uniqueness and nondegeneracy of ground state solutions to semilinear elliptic equations is of great importance because of the resulting energy landscape and its im…
Global dynamics above the ground state energy for the combined power type nonlinear Schrodinger equations with energy critical growth at low frequencies
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
We consider the nonlinear Schrodinger equations with combined type local interactions with energy critical growth, and we study the solutions slightly above the ground state thresh…
Existence of a ground state and scattering for a nonlinear Schroedinger equation with critical growth
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
We study the energy-critical focusing nonlinear Schrödinger equation with an energy- subcritical perturbation. We show the existence of a ground state in the four or higher dimensi…
Existence of a ground state and blow-up problem for a nonlinear Schrodinger equation with critical growth
Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +1
In this paper we show the existence of ground-state solutions for the energy-critical NLS perturbed with subcritical terms when the space dimension . However in dimension t…
Blowup and Scattering problems for the Nonlinear Schrödinger equations
Takafumi Akahori, Hayato Nawa
We consider -supercritical and -subcritical focusing nonlinear Schrödinger equations. We introduce a subset of for , and investig…