25 citations · 66 across the 12 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.AP2021
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…
math.AP2021
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…
math.AP2021
Transverse stability of line soliton and characterization of ground state for wave guide Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the transverse stability of the line Schrödinger soliton under a full wave guide Schrödinger flow on a cylindrical domain . When t…