27 citations · 185 across the 41 of their papers we have counts for
7 papers · 2 filters
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…
Trudinger-Moser inequality on the whole plane with the exact growth condition
Slim Ibrahim, Nader Masmoudi, Kenji Nakanishi
Trudinger-Moser inequality is a substitute to the (forbidden) critical Sobolev embedding, namely the case where the scaling corresponds to . It is well known that the ori…
Threshold solutions in the case of mass-shift for the critical Kline-Gordon equation
Slim Ibrahim, Nader Masmoudi, Kenji Nakanishi
We study global dynamics for the focusing nonlinear Klein-Gordon equation with the energy-critical nonlinearity in two or higher dimensions when the energy equals the threshold giv…
Streamlines concentration and application to the incompressible Navier-Stokes equations
Eric Foxall, Slim Ibrahim, Tsuyoshi Yoneda
For a smooth domain containing the origin, we consider a vector field with $\divg u \equiv 0$ and exclude certain types of possible is…
Local solvability and loss of smoothness of the Navier-Stokes-Maxwell equations with large initial data
Slim Ibrahim, Tsuyoshi Yoneda
Existence of local-in-time unique solution and loss of smoothness of full Magnet-Hydro-Dynamics system (MHD) is considered for periodic initial data. The result is proven using Fuj…