65 citations · 125 across the 6 of their papers we have counts for
6 papers
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 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…